Two-velocity hydrodynamics in fluid mechanics: Part I Well posedness for zero Mach number systems
نویسندگان
چکیده
منابع مشابه
The well-posedness issue for an inviscid zero-Mach number system in general Besov spaces
The present paper is devoted to the study of a zero-Mach number system with heat conduction but no viscosity. We work in the framework of general non-homogeneous Besov spaces B p,r(R), with p ∈ [2, 4] and for any d ≥ 2, which can be embedded into the class of globally Lipschitz functions. We prove a local in time well-posedness result in these classes for general initial densities and velocity ...
متن کاملLow Mach Number Fluctuating Hydrodynamics for Electrolytes
We formulate and study computationally the low Mach number fluctuating hydrodynamic equations for electrolyte solutions. We are interested in studying transport in mixtures of charged species at the mesoscale, down to scales below the Debye length, where thermal fluctuations have a significant impact on the dynamics. Continuing our previous work on fluctuating hydrodynamics of multicomponent mi...
متن کاملLOW MACH NUMBER MODELING OF TYPE Ia SUPERNOVAE. I. HYDRODYNAMICS
We introduce a low Mach number equation set for the large-scale numerical simulation of carbon-oxygen white dwarfs experiencing a thermonuclear deflagration. Since most of the interesting physics in a Type Ia supernova transpires at Mach numbers from 0.01 to 0.1, such an approach enables both a considerable increase in accuracy and a savings in computer time compared with frequently used compre...
متن کاملThe well-posedness issue in endpoint spaces for an inviscid low-Mach number limit system
The present paper is devoted to the well-posedness issue for a low-Mach number limit system with heat conduction but no viscosity. We will work in the framework of general Besov spaces B p,r(R), d ≥ 2, which can be embedded into the class of Lipschitz functions. Firstly, we consider the case of p ∈ [2, 4], with no further restrictions on the initial data. Then we tackle the case of any p ∈ ]1,∞...
متن کاملQuantum hydrodynamics: Well-posedness and asymptotics
In this talk, we consider the recent results on well-posedness and small asymptotic analysis on the quantum hydrodynamic model which takes the form of Euler-Poisson with dispersion.
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: Journal de Mathématiques Pures et Appliquées
سال: 2015
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2015.05.003