Strong solutions for the stochastic Cahn-Hilliard-Navier-Stokes system
| Autor: | A. Ndongmo Ngana, Gabriel Deugoue, T. Tachim Medjo |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Convection
Applied Mathematics 010102 general mathematics Mathematical analysis Phase (waves) Binary number 01 natural sciences Domain (mathematical analysis) Isothermal process Physics::Fluid Dynamics 010101 applied mathematics Bounded function Compressibility Uniqueness 0101 mathematics Analysis Mathematics |
| Zdroj: | Journal of Differential Equations. 275:27-76 |
| ISSN: | 0022-0396 |
| DOI: | 10.1016/j.jde.2020.12.002 |
| Popis: | A well-known diffuse interface model consists of the Navier-Stokes equations for the average velocity, nonlinearly coupled with a convective Cahn-Hilliard type equation for the order (phase) parameter. This system describes the evolution of an incompressible isothermal mixture of binary fluids and it has been investigated by many authors. Here we consider a stochastic version of this model forced by a multiplicative white noise on a bounded domain of R d , d = 2 , 3 . We prove the existence and uniqueness of a local maximal strong solution when the initial data ( u 0 , ϕ 0 ) takes values in H 1 × H 2 . Moreover in the two-dimensional case, we prove that our solution is global. |
| Databáze: | OpenAIRE |
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