Results 61 to 70 of about 2,584 (111)

Global well-posedness for the 2 D quasi-geostrophic equation in a critical Besov space [PDF]

, 2006
We show that the the 2 D quasi-geostrophic equation has global and unique strong solution, when the (large) data belongs in the critical, scale invariant space $\dot{B}^{2-2\al}_{2, \infty}\cap L^{2/(2\al-1)}$
Stefanov, Atanas
core   +3 more sources

Low Mach number and non-resistive limit of magnetohydrodynamic equations with large temperature variations in general bounded domains

Advances in Nonlinear Analysis
This article verifies the low Mach number and non-resistive limit of local strong solutions to non-isentropic compressible magnetohydrodynamic (MHD) equations in general three-dimensional bounded domains when the temperature variation is large but finite.
Liang Min, Ou Yaobin
doaj   +1 more source

Stability of rarefaction wave for relaxed compressible Navier-Stokes equations with density-dependent viscosity

Advances in Nonlinear Analysis
This article shows time-asymptotic nonlinear stability of rarefaction wave to the Cauchy problem for the one-dimensional relaxed compressible Navier-Stokes equations with density-dependent viscosity.
Zhang Nangao
doaj   +1 more source

Singularity \& Regularity Issues for Simplified Models of Turbulence

, 2011
We consider a family of Leray-$\alpha$ models with periodic boundary conditions in three space dimensions. Such models are a regularization, with respect to a parameter $\theta$, of the Navier-Stokes equations. In particular, they share with the original
Ali, Hani, Ammari, Zied
core   +1 more source

The existence of axially symmetric stationary fluids with gravity

Advances in Nonlinear Analysis
We establish a theoretical framework for the existence of axially symmetric stationary fluids with gravity within nozzles of finite height. The main focus is on the free streamline theory in axially symmetric fluids under the influence of gravity, with ...
Zhang Fan
doaj   +1 more source

A regularity result for incompressible elastodynamics equations in the ALE coordinates

Advanced Nonlinear Studies
We consider incompressible inviscid elastodynamics equations with a free surface and establish regularity of solutions for these equations. Compared with previous result on this free boundary problem [X. Gu and F.
Xie Binqiang
doaj   +1 more source

Energy-variational solutions for viscoelastic fluid models

Advances in Nonlinear Analysis
In this article, we introduce the concept of energy-variational solutions for a class of nonlinear dissipative evolutionary equations, which turns out to be especially suited to treat viscoelastic fluid models.
Agosti Abramo, Lasarzik Robert, Rocca Elisabetta   +2 more
doaj   +1 more source

Theoretical analysis of a water wave model with a nonlocal viscous dispersive term using the diffusive approach

Advances in Nonlinear Analysis, 2017
In this paper, we study the following water wave model with a nonlocal viscous term:
Goubet Olivier, Manoubi Imen
doaj   +1 more source

Global solutions of aggregation equations and other flows with random diffusion. [PDF]

Probab Theory Relat Fields, 2023
Rosenzweig M, Staffilani G.
europepmc   +1 more source

On an Oberbeck-Boussinesq model relating to the motion of a viscous fluid subject to heating

Open Mathematics
This article surveys some results in the study of Iannelli [Su un modello di Oberbeck-Boussinesq relativo al moto di un fluido viscoso soggetto a riscaldamento, Fisica Matematica, Istituto Lombardo (rend.
Iannelli Angela
doaj   +1 more source