Parabolic-elliptic and parabolic systems in diffusion models

Prelegent(ci)

Lucjan Sapa

Afiliacja

AGH w Krakowie, WMS

Termin

4 marca 2021 12:30

Informacje na temat wydarzenia

Spotkanie na Zoom

Seminarium

Seminarium Zakładu Równań Fizyki Matematycznej

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The presentation deals with nonlinear parabolic--elliptic and parabolic systems with initial-boundary conditions modeling biological ion channels and interdiffusion in solids. I will formulate theorems on local and global existence, uniqueness and properties of weak solutions, in suitable Sobolev spaces. Moreover,

finite implicit difference methods and theorems concerning existence and uniqueness of discrete solutions, and convergence and stability properties will be given. The agreement between theoretical results, numerical simulations and experiments in some cases will be shown.

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