Global well posedness for the ghost effect system
| Autor: | Bilal Al Taki |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Applied Mathematics
010102 general mathematics Degenerate energy levels Effect system General Medicine 01 natural sciences 010101 applied mathematics symbols.namesake Mach number Bohm potential symbols Compressibility Applied mathematics 0101 mathematics Navier–Stokes equations Analysis Well posedness Mathematics |
| Zdroj: | Communications on Pure & Applied Analysis. 16:345-368 |
| ISSN: | 1553-5258 |
| Popis: | The aim of this paper is to discuss the issue of global existence of weak solutions of the so called ghost effect system which has been derived recently in [C. D. LEVERMORE, W. SUN, K. TRIVISA, SIAM J. Math. Anal. 2012]. We extend the local existence of solutions proved in [C.D. LEVERMORE, W. SUN, K. TRIVISA, Indiana Univ. J. , 2011] to a global existence result. The key tool in this paper is a new functional inequality inspired of what proposed in [A. JUNGEL, D. MATTHES, SIAM J. Math. Anal. , 2008]. Such an inequality being adapted in [D. BRESCH, A. VASSEUR, C. YU, 2016] to be useful for compressible Navier-Stokes equations with degenerate viscosities. Our strategy to prove the global existence of solution builds upon the framework developed in [D. BRESCH, V. GIOVANGILI, E. ZATORSKA, J. Math. Pures Appl. , 2015] for low Mach number system. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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