Results 81 to 90 of about 163 (148)

Journal of Mathematical Fluid Mechanics Global Regularity for a Class of Generalized Magnetohydrodynamic Equations

, 2011
. It remains unknown whether or not smooth solutions of the 3D incompressible MHD equations can develop finite-time singularities. One major difficulty is due to the fact that the dissipation given by the Laplacian operator is insufficient to control the
Jiahong Wu
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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

Bifurcating Vortex Solutions Of The Complex Ginzburg-Landau Equation

, 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, Hans G. Kaper, Peter Takac, G. Kaper   +3 more
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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

On Existence and Admissibility of Singular Solutions for Systems of Conservation Laws. [PDF]

Int J Appl Comput Math, 2022
Kalisch H, Mitrovic D.
europepmc   +1 more source

A COMPARATIVE STUDY OF THE DIRECT BOUNDARY ELEMENT METHOD AND THE DUAL RECIPROCITY BOUNDARY ELEMENT METHOD IN SOLVING THE HELMHOLTZ EQUATION

, 2006
In this paper, we compare the direct boundary element method (BEM) and the dual reci-procity boundary element method (DRBEM) for solving the direct interior Helmholtz problem, in terms of their numerical accuracy and efficiency, as well as their ...
Song-ping Zhu, Yinglong Zhang
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An alternative approach to study irrotational periodic gravity water waves. [PDF]

Z Angew Math Phys, 2021
Basu B, Martin CI.
europepmc   +1 more source

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

, 1997
. Various sophisticated finite element models for surface water flow based on the shallow water equations exist in the literature. Gray, Kolar, Luettich, Lynch and Westerink have developed a hydrodynamic model based on the generalized wave continuity ...
M. L. Martinez, M. Martinez, C. Dawson, M. Wheeler, S. Chippada, C. N. Dawson, M. F. Wheeler   +6 more
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A new regularity criterion for weak solutions to the 3D micropolar fluid flows in terms of the pressure

, 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, Gala, Sadek, Ragusa, Maria Alessandra   +2 more
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© Hindawi Publishing Corp. SYMMETRY GROUP ANALYSIS AND INVARIANT SOLUTIONS OF HYDRODYNAMIC-TYPE SYSTEMS

, 2002
We study point and higher symmetries of systems of the hydrodynamic type with and with-out an explicit dependence on t,x. We consider such systems which satisfy the existence conditions for an infinite-dimensional group of hydrodynamic symmetries which ...
M. B. Sheftel
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