Compressible Fluids Driven by Stochastic Forcing: The Relative Energy Inequality and Applications

详细信息    查看全文

• 作者：Dominic Breit ; Eduard Feireisl ; Martina Hofmanová
• 刊名：Communications in Mathematical Physics
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：350
• 期：2
• 页码：443-473
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Theoretical, Mathematical and Computational Physics; Mathematical Physics; Quantum Physics; Complex Systems; Classical and Quantum Gravitation, Relativity Theory;
• 出版者：Springer Berlin Heidelberg
• ISSN：1432-0916
• 卷排序：350

文摘

We show the relative energy inequality for the compressible Navier–Stokes system driven by a stochastic forcing. As a corollary, we prove the weak–strong uniqueness property (pathwise and in law) and convergence of weak solutions in the inviscid-incompressible limit. In particular, we establish a Yamada–Watanabe type result in the context of the compressible Navier–Stokes system, that is, pathwise weak–strong uniqueness implies weak–strong uniqueness in law.