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Chapter and Conference Paper
On the Motion of Chemically Reacting Fluids Through Porous Medium
We consider a parabolic-hyperbolic system of nonlinear partial differential equations modeling the motion of a chemically reacting mixture through porous medium. The existence of classical as well as weak solu...
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Chapter and Conference Paper
Application of Parallel Computing Techniques for Problems of Degenerated Diffusion
In this contribution, we discuss parallelization of the problem of curve dynamics in plane. Related PDEs are based on the levelset method introduced in [5], and on the phase-field method described in [1]. Numeric...