| Abstract: |
| We will discuss Euler-Poisson and Euler-Korteweg systems with friction and exponential pressure. Our interest is directed to
strong solutions of the Keller-Segel system and Cahn-Hillard, which are high-friction limits of the dissipative measure-valued solutions to the hydrodynamic systems. For the passage to the limit system, we use the highly efficient approach of the relative entropy method, which found use in a various different fields, ranging from weak-strong uniqueness problems, to stability studies, asymptotic limits and dimension reduction problems. |
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