Results 81 to 90 of about 172 (152)

© Hindawi Publishing Corp. ASYMPTOTICS FOR CRITICAL NONCONVECTIVE TYPE EQUATIONS

open access: yes, 2003
We study large-time asymptotic behavior of solutions to the Cauchy problem for a model of nonlinear dissipative evolution equation. The linear part is a pseudodifferential operator and the nonlinearity is a cubic pseudodifferential operator defined by ...
Elena I. Kaikina   +2 more
core  

A new regularity criterion for weak solutions to the 3D micropolar fluid flows in terms of the pressure

open access: yes, 2020
This note aims to giving a new regularity criterion for weak solutions to the three-dimensional micropolar fluid flows by imposing a critical growth condition on the field of pressure.
Thera, Michel   +2 more
core   +1 more source

Finite Element Approximation to the System of Shallow Water Equations, Part II: Discrete Time A Priori Error Estimates

open access: yes, 1997
. Various sophisticated finite element models for surface water flow exist in the literature. Gray, Kolar, Luettich, Lynch and Westerink have developed a hydrodynamic model based on the generalized wave continuity equation (GWCE) formulation, and have ...
M. Martinez   +6 more
core  

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

open access: yesAdvances 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

Simulation of fluid-particles flows: Heavy particles, flowing regime and AP-schemes

open access: yes, 2012
. We are interested in an Eulerian–Lagrangian model describing particulate flows. The model under study consists of the Euler system and a Vlasov-Fokker-Planck equation coupled through momentum and energy exchanges.
Bokai Yan, Shi Jin, Thierry Goudon
core  

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

open access: yesOpen 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

Bifurcating Vortex Solutions Of The Complex Ginzburg-Landau Equation

open access: yes, 2007
. It is shown that the complex Ginzburg-Landau (CGL) equation on the real line admits nontrivial 2ß-periodic vortex solutions that have 2n simple zeros ("vortices") per period.
Dr. Hans   +3 more
core  

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