Stochastic compressible Euler equations and inviscid limits
نویسندگان
چکیده
منابع مشابه
Euler Equations of Inviscid Fluids
Progresses on the dynamical system theory of 2D Euler equation are reported. An open problem is presented. The isospectral theory on Lax pairs of Euler equations is initiated.
متن کاملCompressible Euler-Maxwell Equations
The Euler-Maxwell equations as a hydrodynamic model of charge transport of semiconductors in an electromagnetic field are studied. The global approximate solutions to the initial-boundary value problem are constructed by the fractional Godunov scheme. The uniform bound and H−1 compactness are proved. The approximate solutions are shown convergent by weak convergence methods. Then, with some new...
متن کاملSingular Limits and Convergence Rates of Compressible Euler and Rotating Shallow Water Equations
With solid-wall boundary condition and ill-prepared initial data, we prove the singular limits and convergence rates of compressible Euler and rotating shallow water equations towards their incompressible counterparts. A major issue is that fast acoustic waves contribute to the slow vortical dynamics at order one and do not damp in any strong sense. Upon averaging in time, however, such a contr...
متن کاملPreconditioners for Linearized Discrete Compressible Euler Equations
We consider a Newton-Krylov approach for discretized compressible Euler equations. A good preconditioner in the Krylov subspace method is essential for obtaining an efficient solver in such an approach. In this paper we compare point-block-Gauss-Seidel, point-block-ILU and point-block-SPAI preconditioners. It turns out that the SPAI method is not satisfactory for our problem class. The point-bl...
متن کاملKuzmin-Oseledets Formulations of Compressible Euler Equations
Kuzmin-Oseledets formulations of compressible Euler equations case are considered. Exact results and physical interpretations are given. One such exact result for the compressible barotropic case is the potential helicity Lagrange invariant. In recognition of the fundamental physical implications of this Lagrange invariant clarified here, this invariant is shown to hold for compressible non-bar...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nonlinear Analysis
سال: 2019
ISSN: 0362-546X
DOI: 10.1016/j.na.2019.02.013