University of Cambridge > > Isaac Newton Institute Seminar Series > Poro-Inelastic Filtration coupled to Stokes Flow

Poro-Inelastic Filtration coupled to Stokes Flow

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact INI IT.

MIMW03 - From the continuum to the tectonic: the magma/mantle dynamics of planet earth

Models of flow of fluid through saturated inelastic porous media are described. The initial-boundary-value problem consists of a nonlinear diffusion equation for the fluid coupled to the momentum equation for the porous solid together with a constitutive law which includes a possibly hysteretic relation of elasto-visco-plastic type. Existence and uniqueness of a global strong solution follows from monotonicity methods. Various degenerate situations are permitted, such as incompressible fluid, negligible porosity, or a quasi-static momentum equation. The essential sufficient conditions for the well-posedness of the system consist of an ellipticity condition on the term for diffusion of fluid and either a viscous or a hardening assumption in the constitutive relation for the porous solid.

Related Links

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

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.


© 2006-2024, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity