| Abstract: |
| Motivated by problems from Industrial Mathematics we further developed the concepts of hypocoercivity. The original concepts needed Poincar\`{e} inequalities and were applied to equations in linear finite dimensional spaces. Meanwhile we can treat equations in manifolds or even infinite dimensional spaces. The condition giving micro- and macroscopic coercivity we could relax from Poincar\`{e} to weak Poincar\`{e} inequalities. In this talk an overview and many examples are given. |
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