Evolution Equations

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Department of Mathematics

Synopsis:

Physical derivation of typical nonequilibrium problems in continuum physics, formulation and interpretation of initial and boundary conditions, classification of PDEs (parabolic, hyperbolic), solution methods (Galerkin, time discretization) including a survey of the basic theory of Sobolev spaces and embedding theorems, qualitative properties of solutions as, e. g., stability or instability of solution trajectories, occurrence of shock waves, or systems with memory.

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The course is a part of the following study plans: