Results 71 to 80 of about 2,766 (130)

Global regularity criterion for the 3D Navier-Stokes equations involving one entry of the velocity gradient tensor

, 2010
In this paper we provide a sufficient condition, in terms of only one of the nine entries of the gradient tensor, i.e., the Jacobian matrix of the velocity vector field, for the global regularity of strong solutions to the three-dimensional Navier-Stokes
C. Cao, C. Doering, C. He, Chongsheng Cao, D. Chae, Edriss S. Titi, G. Prodi, G. Raugel, G. Seregin, G.P. Galdi, H. Fujita, H. Sohr, H. Sohr, H.B. Da Veiga, I. Kukavica, I. Kukavica, J. Leray, J. Serrin, J.L. Lions, L. Escauriaza, L.C. Berselli, L.C. Berselli, M. Pokorný, M. Pokorný, O.A. Ladyzhenskaya, P. Constantin, P. Constantin, P.G. Lemarié–Rieusset, P.L. Lions, R. Sohr, R.A. Adams, T. Kato, Y. Giga, Y. Giga, Y. Zhou, Y. Zhou   +35 more
core   +1 more source

Initial boundary value problem and exponential stability for the planar magnetohydrodynamics equations with temperature-dependent viscosity

Advances in Nonlinear Analysis
In this study, we consider the initial boundary value problem of the planar magnetohydrodynamics (MHD) system when the viscous coefficients and heat conductivity depend on the temperature, which are assumed to be proportional to θα{\theta }^{\alpha }, α ...
Shang Zhaoyang, Yang Erjia
doaj   +1 more source

Global solvability in a three-dimensional Keller-Segel-Stokes system involving arbitrary superlinear logistic degradation

Advances in Nonlinear Analysis, 2020
The Keller-Segel-Stokes ...
Wang Yulan, Winkler Michael, Xiang Zhaoyin   +2 more
doaj   +1 more source

R-matrix for a geodesic flow associated with a new integrable peakon equation

, 2016
We use the r-matrix formulation to show the integrability of geodesic flow on an $N$-dimensional space with coordinates $q_k$, with $k=1,...,N$, equipped with the co-metric $g^{ij}=e^{-|q_i-q_j|}\big(2-e^{-|q_i-q_j|}\big)$.
Holm, Darryl D., Qiao, Zhijun
core  

Global Entropy Solutions to the Gas Flow in General Nozzle

, 2019
We are concerned with the global existence of entropy solutions for the compressible Euler equations describing the gas flow in a nozzle with general cross-sectional area, for both isentropic and isothermal fluids. New viscosities are delicately designed
Cao, Wentao, Huang, Feimin, Yuan, Difan
core  

Heat Convection of Compressible Viscous Fluids. I. [PDF]

, 2012
The stationary problem for the heat convection of compressible fluid is considered around the equilibrium solution with the external forces in the horizontal strip domain z_0 < z < z_0 + 1 and it is proved that the solution exists uniformly with
Nishida, Takaaki, Padula, Mariarosaria, Teramoto, Yoshiaki   +2 more
core  

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

Classical solution for compressible Navier-Stokes-Korteweg equations with zero sound speed

Advances in Nonlinear Analysis
We consider the compressible Navier-Stokes-Korteweg equations describing the dynamics of a liquid-vapor mixture with diffuse interphase in Rd{{\mathbb{R}}}^{d} with d≥3d\ge 3 when the initial perturbation is suitably small.
Liu Mengqian, Wu Zhigang
doaj   +1 more source

Pullback attractors for a class of second-order delay evolution equations with dispersive and dissipative terms on unbounded domain

Open Mathematics
In this article, we investigate the long-time behavior for the ill-posed problems ∂2u∂t2+∂u∂t+λu−Δu−Δ∂u∂t−Δ∂2u∂t2=f(t,u(x,t−ρ(t)))+g(t,x),in(τ,+∞)×RN,\frac{{\partial }^{2}u}{\partial {t}^{2}}+\frac{\partial u}{\partial t}+\lambda u-\Delta u-\Delta \frac{\
Zhang Fang-hong
doaj   +1 more source