Abstract:We consider quasi-static poroelastic systems with incompressible constituents. The nonlinear permeability is taken to be dependent on solid dilation, and physical types of boundary conditions (Dirichlet, Neumann, and mixed) for the fluid pressure are considered. Such dynamics are motivated by applications in biomechanics and, in particular, tissue perfusion. This system represents a nonlinear, implicit, degenerate evolution problem. We provide a direct fixed point strategy for proving the existence of weak sol… Show more
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