We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Cahn–Hillard and Keller–Segel systems as high-friction limits of Euler–Korteweg and Euler–Poisson equations.
- Authors
Gallenmüller, Dennis; Gwiazda, Piotr; Świerczewska-Gwiazda, Agnieszka; Woźnicki, Jakub
- Abstract
We consider a combined system of Euler–Korteweg and Euler–Poisson equations with friction and exponential pressure with exponent γ > 1 . We show the existence of dissipative measure-valued solutions in the cases of repulsive and attractive potential in Euler–Poisson system. The latter case requires additional restriction on γ . Furthermore in case of γ ≥ 2 we show that the strong solutions to the Cahn–Hillard–Keller–Segel system are a high-friction limit of the dissipative measure-valued solutions to Euler–Korteweg–Poisson equations.
- Subjects
POISSON'S equation; EQUATIONS; FRICTION
- Publication
Calculus of Variations & Partial Differential Equations, 2024, Vol 63, Issue 2, p1
- ISSN
0944-2669
- Publication type
Article
- DOI
10.1007/s00526-023-02656-7