Hamiltonian models in plasma physics and their discretization

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• Eric Sonnendrucker (Max Planck Institute for Plasma Physics, Munich University of Technology)
• Monday 25 April 2022, 12:15-13:15
• Seminar Room 1, Newton Institute.

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FKTW03 - Frontiers in kinetic equations for plasmas and collective behaviour

Many models in plasma physics can be derived from a non canonical hamiltonian formulation expressed using a Poisson bracket and a conserved Hamiltonian.For long time simulations, conservation of invariants coming from the hamiltonian formulation are essential. This can be achieved in particular by looking for a discrete Poisson bracket and Hamiltonian and then using splitting of either the bracket or the hamiltonian.As examples we will consider the Vlasov-Maxwell equations as well as hybrid fluid-kinetic models.We shall also show how dissipative effects can be added using a symmetric positive non definite bracket and a dissipated entropy.

This talk is part of the Isaac Newton Institute Seminar Series series.

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