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Partial Differential Equations seminar
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Description to be confirmed If you have a question about this list, please contact: Prof. Mihalis Dafermos; Prof. Neshan Wickramasekera; Prof. Clément Mouhot; HoD Secretary, DPMMS; D. Finucane; pierre raphael; Dr Greg Taujanskas; Amelie Justine Loher; Giacomo Ageno. If you have a question about a specific talk, click on that talk to find its organiser. 1 upcoming talk and 342 talks in the archive. Exponential mixing with random cellular flows via hypocoercivity
Stability and Instability of Relativistic Fluids in Slowly Expanding Spacetimes
Nonequilibrium steady states and subgeometric convergence in a kinetic model of chemotaxis
Bubble decomposition for the harmonic map heat flow
Extreme pushed and pulled fronts
Local Well-posedenss of the Bartnik Static Extension Problem near Schwarzschild spheres
Feynman problems for the Klein-Gordon and wave equation
[CANCELLED] Overhanging solitary water waves
The lens rigidity problem in 2 dimension
Smooth nonradial stationary 2d Euler flows with compact support.
On the non-linear stability of Kerr de Sitter spacetimes
A canonical foliation for the bubblesheet singularities of geometric flows
Long time behavior for vortex dynamics in the 2 dimensional Euler equations
Nonlinear stability of extremal Reissner–Nordström black holes in spherical symmetry
Weak turbulence for quasilinear waves on Schwarzschild-AdS
Coercive Hamilton-Jacobi equations: equivalent boundary conditions and new uniqueness results.
Quasinormal modes on asymptotically flat spacetimes
(CANCELLED, TO BE RESCHEDULED) Leading-order term expansion for the Teukolsky equation on subextremal Kerr black holes
Scattering for wave equations with sources and slowly decaying data
STRICHARTZ ESTIMATES FOR THE 2D AND 3D MASSLESS DIRAC-COULOMB EQUATIONS
On the hydrostatic limit of the Euler-Boussinesq equations
Overdamped quasinormal modes for Schwarzschild black holes
The Morawetz problem for supersonic flow with cavitation
Sharp Hadamard well-posedness for the incompressible free boundary Euler equations
Elasto-plasticity driven by dislocation movement via space-time currents
The many faces of global hyperbolicity
Infinite time blow-up for the 3D energy critical heat equation in bounded domains
Scattering towards the singularity in Kasner spacetimes
The Stable Bernstein theorem in R^5
Formation of trapped surfaces for the Einstein-Yang-Mills system
The quasi-neutral limit for the ionic Vlasov-Poisson system with rough data
STABILITY AND CASCADES FOR THE KOLMOGOROV-ZAKHAROV SPECTRUM OF WAVE TURBULENCE
Rigidity of long-term dynamics for the self-dual Chern-Simons-Schrödinger equation within equivariance
Gravitational Collapse for Newtonian Stars
Global well-posedness and quasi-invariance of Gaussian measures for fractional nonlinear Schrödinger equations
Disproving the Deift conjecture: the loss of almost periodicity
Local well-posedness and singularity formation beyond the Yudovich class
The conformal field equations, black holes, gravitational waves and the Newman-Penrose constants
A scattering theory for the Maxwell-Klein-Gordon equations
New Conservation Laws and Energy Cascade for 1D Cubic NLS and the Schrodinger Map
On the nature of the Big Bang singularity
Asymptotic stability of solitons in 1D dispersive problems
Nonlocal Aggregation-Diffusion Equations: fast diffusion and partial concentration
Dynamics of Concentrated Vorticities in 2D and 3D Euler Flows
Small data global existence for systems of wave equations: The role of asymptotics
The asymptotic charges at the critical sets of null infinity
A Scattering Theory for Linearised Gravity on the Exterior of the Schwarzschild Black Hole
Closed Ricci Flows with Singularities Modeled on Asymptotically Conical Shrinkers
The role of boundary conditions on scaling laws in the Rayleigh-Bénard convection problem
Oscillations vs. relaxation in galactic dynamics
Advances in the theory of multi-dimensional shock waves
Boundary hypoelliptic regularization in kinetic equations
End-time regularity theorem for Brakke flow
Stability of the Kolmogorov-Zakharov spectrum of weak turbulence
On the Existence and Regularity for the Stationary Linearized Boltzmann Equation in a Small Domain
Oscillations vs. relaxation in galactic dynamics (Cancelled)
Moist potential vorticity inversion: a nonlinear PDE from atmospheric dynamics with free boundaries
Orientation mixing in active suspensions
Well-posedness of hyperbolic Cauchy problems with multiplicities
Small obstacle limit for the inviscid Euler-alpha system
Convergence of the self-dual U(1)-Yang-Mills-Higgs energies to the (n - 2)-area functional
On Modelling Isolated Systems in General Relativity
Solutions to the Navier-Stokes equations that are locally bounded in L^{3,\infty}.
Second law of thermodynamics and bounded entropy solutions in the compressible Navier-Stokes system
Hardy inequalities for the Landau equation
Irregular transport and loss of regularity for transport equations
Regularity theory for branched stable hypersurfaces
Euler system with a polytropic equation of state as a vanishing viscosity limit
Long time behaviour of kinetic Fokker-Planck models for Elo Chess ranking and when applying hypocoercivity methods can be really hard.
Vortex filament solutions of the 3D Navier-Stokes solutions
Enhanced dissipation and Taylor dispersion in higher-dimensional parallel shear flows
Rough solutions of the 3-D compressible Euler equations
Bulk-boundary correspondence for vacuum asymptotically Anti-de Sitter spacetimes
Soliton resolution for energy critical wave type equations under symmetry
Contagious particle systems and the supercooled Stefan problem
Spectral Theory and Trace Formulae on Stationary Spacetimes
Existence of global strong solution for compressible Navier Stokes equations in one dimension with for degenerate viscosity coefficients
An optimal transport formulation of the Einstein equations of general relativity
Kinetic theory for the low-density Lorentz gas (Common session with Probability Seminar)
Green's function estimates and the Poisson equation.
Asymptotic behavior in the Cucker-Smale model with short range communication weights
Resonances, genericity and rational normal forms: The KillBill theory
Asymptotic properties of the small data solutions of the Vlasov-Maxwell system
Eigenvalue estimates for magnetic Laplacians on Riemannian manifolds
Nonlinear PDEs of Mixed Elliptic-Hyperbolic Type: Analysis and Applications
Multipliers method for Spectral Theory
The rigidity problem for perimeter inequalities under symmetrizationThis is a joint ACA-GAPDE seminar
Emergence of Apparent Horizon in General Relativity
Localisation and delocalisation in the parabolic Anderson model
Scherk-like Translators for Mean Curvature Flow
Maximal and Variational Fourier Restriction Theory
Index-energy estimates for Yang-Mills connections and Einstein metrics
Singularity theorems for W^{2,p}-metrics
Landau Damping for the screened Vlasov-Poisson system on R^3: a lagrangian proof
Strichartz estimates for the one-dimensional wave equation
About wave and Schrödinger equations in the exterior of many strictly convex obstacles
Sharp eigenvalue estimates on degenerating surfaces.
Wegner estimate for the random breather model
Turbulent solutions of the nonlinear Schrodinger equation : a link between the scattering theory and the Arnold diffusion
Bubbling analysis for closed and free boundary minimal hypersurfaces
Uniqueness of the solution to the 2D Vlasov-Navier-Stokes system
Diffusion and mixing in incompressible flows
Linear systems of wave equations on cosmological backgrounds with convergent asymptotics
Cylindrical Estimates for High Codimension Mean Curvature Flow
Singularity formation and bubbling in nonlinear diffusions
On the uniqueness of graphical mean curvature flow
Then initial value problem for the Euler equations of fluids viewed as a convex optimisation problem
CANCELLED - Semiclassical analysis and kinetic equations
Dynamics, dispersion and control of Schrödinger equations
Instability of infinitely many stationary solutions of the su(2) Yang-Mills fields on the exterior of the Schwarzschild black holes
Auction Design via Optimal Transportation
Gibbs measures of nonlinear Schrodinger equations as limits of many-body quantum states in dimension d <= 3
Beyond the Hoermander condition
Strichartz estimates for the kinetic transport equation
Asymptotic analysis by averaging methods, for PDEs with stiff transport terms
Dispersion for the wave and the Schrodinger equations outside strictly convex obstacles
Well-posedness of weakly hyperbolic systems of PDEs in Gevrey regularity.
Localization estimates for hypoelliptic equations
Alexandrov Theorem Revisited
Long-time convergence of degenerated processes
Effects of soft interaction and non-isothermal boundary upon long-time dynamics of rarefied gas
Recent advances in the study of convergence to equilibrium for the Becker-Doring equations.
Transport Metrics for Vlasov Hierarchies
Boundary layers and fluid limits of the Boltzmann equation in domains with boundary
Global strong solution and decay of Vlasov-Poisson-Boltzmann in bounded domains
Non-Newtonian fluids: applications of Orlicz spaces in the theory of nonlinear PDE
Moments estimates for the discrete coagulation-fragmentation equations with diffusion
Variational constructions of minimal surfaces
Fractional diffusion limit of a linear kinetic transport equation in a bounded domain
The De Giorgi conjecture for the half-Laplacian in dimension 4
Ground States for Diffusion Dominated Free Energies with Logarithmic Interaction
Variational Mean Field Games
Steady Prandtl theory over a moving plate
Discrete minimisers are close to continuum minimisers for the interaction energy
Nonlocal Particle Systems with Wasserstein Interaction
An asymptotic preserving scheme for a kinetic equation describing propagation phenomena
Quantum scattering on curved spacetimes
The Feynman propagator and its positivity properties
A sharp counterexample to local existence of low regularity solutions to Einstein's equations in wave coordinates
Aggregation of bacteria by chemotaxis: mathematical and numerical analysis
Regularity of minimal submanifolds and mean curvature flows meeting along a common free boundary
Recent applications of quantitative stability to convergence to equilibrium
Non-linear stability of Kerr-de Sitter black holesNOTE THE SPECIAL DATE AND LOCATION
On boundary effect for zero viscosity limit of solutions of Navier-StokesNOTE THE SPECIAL DATE AND LOCATION
On a nonlinear parabolic problem arising in the quantum diffusive description of a degenerate fermion gas
Local stability of Dirac masses for a kinetic model of alignment on the sphere
A Kinetic Reaction Model: Decay to Equilibrium and Macroscopic Limit
Acceleration in reaction-diffusion equations
Singularities of timelike extremal surfaces
Time-translation invariance of scattering maps and blue-shift instabilities on Kerr black hole spacetimes
Area-Minimizing Surfaces in Asymptotically Flat Three Manifolds
Large deviations for velocity jump processes
Probabilistic global well-posedness of the energy-critical defocusing nonlinear wave equation bellow the energy space
On the subcritical transition of the 3D Couette flow
From microscopic dynamics to macroscopic equations. Scaling limits for the Lorentz gas
Free Boundary Problems from a Model for Receptor-Ligand Dynamics
Global free-boundary regularity for the Signorini problem
Some endpoint estimates for bilinear paraproducts and applications
Min-max theory in geometry and topology
Min-max, phase transitions and minimal hypersurfaces.
A new point of view on (crystalline) mean curvature flows
Applied and Computational Analysis Geometric graph-based methods for high dimensional dataThis is a joint GAPDE & ACA seminar
Non-existence of time-periodic vacuum spacetimes in general relativity
Control of wave equations from data on time-like surfaces, and applications to the profile of singularities.
A gradient flow approach to quantization of measures
Compactness questions for triholomorphic maps
The $\bar\partial$-problem on unbounded domains
Scattering resonances as viscosity limits
Regularity of the Boltzmann Equation in Bounded Domains
On weak and measure-valued solutions to compressible Euler and similar systems
Stability in exponential time of Minkowski Space-time with a translation space-like Killing field
Wave propagation in periodic media and dispersive effects
Green’s function for initial-boundary value problem.
A prirori estimates for the relativistic free boundary Euler equations in physical vacuum
An exponential integrator for the 4D-Vlasov-Poisson system with strong magnetic field
(In)stability of anti-de Sitter?
On the Cauchy problem for the homogebeous Boltzmann-Nordheim equation for bosons
Functional inequalities in Sobolev spaces: From isocapacitary estimates to Littlewood-Paley theory
Minimizing interacting energies
The parabolic-parabolic Keller-Segel equation
Cercignani's conjecture between multiples of the equilibrium
Compactness theorems for minimal hypersurfaces with bounded index
Ekman boundary layers for highly rotating fluids over a bumpy topography
Anomalous energy transport in PFU-beta chain
Appearance of turbulence in the Euler limit with Boundary effects
Validity of the Boltzmann equation: short range potentials and beyond
On the energy critical Maxwell-Klein-Gordon equations
On a variant of almost axisymmetric flows
Stability of de Sitter space under Lorentzian constant mean curvature flow
A control theoretic approach to the linear Boltzmann equation
Unique continuation from infinity for linear waves
Updates on the large scale geometry of asymptotically flat manifolds
Higher gradient integrability for $\sigma$-harmonic maps in dimension two
Global existence and convergence of smooth solutions to Yang-Mills gradient flow over compact four-manifolds
Linear Stability of the Schwarzschild solution under gravitational perturbations
Some free boundary problems arising from segregation
The tangential Kohn Laplacian via conformal equivalence
Invariant Gibbs measures for the defocusing NLS on the real line
Recent progress on the explicit inversion of geodesic X-ray transforms
On weak solutions to the stationary incompressible Euler equations
Kinetic-fluid equations with a local alignment force
Motion of rigid bodies inside a viscous fluid
On the compactness of the linearized Boltzmann operator for mixtures
Global existence for the incompressible Euler equation with free surface
Approximations of pseudo-differential flows
Dispersive estimates for the wave equation in strictly convex domains
Nonlinear Conservation Laws and Divergence-Measure Fields
Some mathematical results linked with wave turbulence theory
Regularity Theorems for Minimal Two-Valued Graphs.
Free Boundary Problem related to Euler-Poisson system
Linear stability of charged rotating black holes
Regularity of free boundaries in anisotropic capillarity problems and the validity of Young's law
New method of rearrangement for systems of Vlasov-Poisson's type
The Cauchy problem for the Vlasov-Dirac-Benney equation and related issues in Fluid Mechanics and Semi-classical Limits
Dissipative Hölder solutions to the incompressible Euler equations
A Li-Yau type inequality for free boundary surfaces with respect to the unit ball
Blow-up of arbitrarily rough critical Besov norms at any Navier-Stokes singularity
Energy driven pattern formation in a non-local Cahn-Hilliard energy
Effective diffusion for nonlinear reactive flows in strong convection regime
Nonlinear wave equations on time dependent inhomogeneous backgrounds
Rigidity of Gradient Shrinking Ricci Solitons
A sharp strong maximum principle for singular minimal hypersurfaces
Regularity of higher codimension minimal currents
Breakdown of smoothness for the Muskat problem
Uniformizing surfaces with conical singularities
Convergence to equilibrium for degenerate kinetic equations
Boundary layers and free surfaces in fluid mechanics
On the inviscid limit for the stochastic Navier-Stokes equations
Propagation of monokinetic measures with rough momentum profiles
Thermodynamics, energetics and regularity for a De Gennes liquid crystal system
Geometric compatibility, quasiconvexity and phase transitions
Non-Uniqueness Phenomena for the Incompressible Euler Equations
Quantitative estimates in stochastic homogenization
The Yang-Mills Lagrangian in supercritical dimensions
Dynamical stability and instability of Ricci-flat metrics
2D Coulomb gases, Abrikosov lattices and the Renormalized energy
Stefan problem: well-posedness and stability theories in presence and absence of surface tension
Relative entropy method and lattice continuum limit in elasticity
Well-posedness issues for the boundary layer equations
From Ornstein's non-inequalities to rank-one convexity
Hadamard instability and the emergence of localized states in dynamic plasticity
Energy driven pattern formation in a non-local Ginzburg-Landau/Cahn-Hilliard energy
Asymptotics of radiation fields in asymptotically Minkowski spaces
Rough solutions of Einstein vacuum equations in CMCSH gauge
Minimal tori in S^{3} and the Lawson conjecture
Construction of infinite-bump solutions for non-linear-Schrödinger-like equations
A curious variational property of classical minimal surfaces
Long-time behaviour of nonlinear growth-fragmentation equations
Weakly regular spacetimes with symmetry
Convergence to equilibrium for subcritical solutions of the Becker-Döring equations
Rapid convergence to quasi-stationary states for the 2D Navier-Stokes equation
Area minimizing surfaces in mean convex 3-manifolds
The interacting Bose gas: A challenge for analysts
The h-principle for the Euler equations
Boundary kernels for dissipative systems
Resonance free strips for normally hyperbolic trapped sets
Faber-Krahn inequalities for the principal eigenvalue of second order elliptic operators
Strichartz estimates for the wave equation on flat cones and applications
How to produce a Ricci Flow via Cheeger-Gromoll exhaustion
Global well-posedness and decay for the viscous surface wave problem without surface tension
A Variational Characterization of the Catenoid
The nonlinear Schrödinger equation on the torus
Second microlocal calculus: applications to the Schrödinger equation and to the damped wave equation on the torus
Finite time blowup of complex-valued solutions of the Korteweg-de Vries and the modified Korteweg-de Vries equations
Hypocoercivity for some linear kinetic equations with a boundary
C^{1,α} regularity of solutions of degenerate elliptic equations
On the construction of analytic almost-sharp fronts for SQG
The regularity and existence of branched minimal submanifolds
Self-similar solutions with fat tails for Smoluchowski's coagulation equation
Contact Solutions for Fully Nonlinear PDE Systems, Calculus of Variations in L-Infinity and Aronsson Maps
Dispersive limit of the nonlinear Schrodinger equations
Lower semicontinuity for minimization problems in the space BD of functions of bounded deformation
Global existence and collisions for certain configurations of nearly parallel vortex filaments
Invariant measures for some Hamiltonian PDEs
Price's law on nonstationary spacetimes
Localized Energy Estimates of the Wave Equation on Higher Dimensional Schwarzschild Space Times
A differentiability criterion in terms of harmonic functions
Boltzmann Equation with a Large Potential in a Periodic Box
Parabolic systems with rough initial data
Quasi-normal modes for Kerr-de Sitter black holes
Exponential Convergence to the Maxwell Distribution For Some Class of Boltzmann Equations
The global stability of the Minkowski spacetime solution to the Einstein-nonlinear electromagnetic system in wave coordinates
On short time existence of the network flow.
Orthogonality conditions and stability in the Stefan problem with surface tension
Singularity theorems from weakened energy conditions
Calderon inverse problems on a Riemann surface
Probabilistic aspects of spacelike singularities in General Relativity
Linear instability of the Relativistic Vlasov-Maxwell system
A Tale of Two Energies: a Story of Hyperbolic PDEs
Ricci flow and the determinant of the Laplacian on non-compact surfaces
Bose-Einstein condensation and probabilistic methods for the nonlinear Schrödinger equation
Global stability of the Boltzmann equation nearby equilibrium
The nonlinear stability of the Maxwell-Born-Infeld System
Existence and uniqueness of minimal blow up solutions to an inhomogeneous mass critical NLS
On the size of the Navier-Stokes singular set
Mean curvature flow for spacelike surfaces, holomorphic discs and the Caratheodory Conjecture.
The geometry of CMC surfaces embedded in R^3.
Constant mean curvature surfaces with prescribed ideal boundary in negatively curved 3-manifolds.
The thermodynamic limit of coulomb quantum systems
Regularity near the axis for axially symmetric stationary electro-vacuum spacetimes
Relaxation without dissipation for plasmas and galactic dynamics
Rigidity theorems for 3-manifolds with positive scalar curvature
Gluing constructions for special Lagrangian cones
Dynamics of linearized cosmological perturbations
$C^{1, \alpha}$ theory for the prescribed mean curvature equation with Dirichlet data
A pathwise approach to relativistic diffusions
Differentiability in Null Setsjoint with Combinatorics Seminar
Two soliton solutions to the gravitational Hartree equation
Adiabatic description of piezoelectricity
Existence and lower order properties of certain non-variational Plateau problems in General Relativity
Energy estimates about black holes
Global areal foliations of spacetimes with toroidal or hyperbolic symmetry
Canonical foliation of spacetimes with bounded curvature
Sharp bounds on 2m/r for static spherical objects in general relativity
Future non-linear stability of cosmological models with power-law inflation
Decay and non-decay of the local energy for the wave equation in the De Sitter - Schwarzschild metric
Size of the branch sets in minimal immersionsjoint with Geometry Seminar
Optimal transportation in geometryjoint with Geometry Seminar
Uniqueness of ground states for nonlinear equations with fractional Laplacians
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Víctor Navarro-Fernández, Imperial College London.
Monday 17 March 2025, 14:00-15:00