Results 41 to 50 of about 2,766 (130)
Regularity Criteria on the 2D Anisotropic Magnetic Bénard Equations
Journal of Mathematical Study, 2019 In this paper, we study the global regularity issue of two dimensional incompressible magnetic Bénard equations with partial dissipation and magnetic diffusion.
Dipendra Sharma
semanticscholar +1 more source
On the differential system govering flows in magnetic field with data in Lp
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 299-305, 1998., 1996 In this paper we study the system governing flows in the magnetic field within the earth. The system is similar to the magnetohydrodynamic (MHD) equations. For initial data in space Lp, we obtained the local in time existence and uniqueness ofweak solutions of the system subject to appropriate initial and boundary conditions.
Fengxin Chen, Ping Wang, Chaoshun Qu
wiley +1 more source
Regularity of H\"older continuous solutions of the supercritical quasi-geostrophic equation
, 2007 We present a regularity result for weak solutions of the 2D quasi-geostrophic equation with supercritical ($\alpha< 1/2$) dissipation $(-\Delta)^\alpha$ : If a Leray-Hopf weak solution is H\"{o}lder continuous $\theta\in C^\delta({\mathbb R}^2)$ with ...
Caffarelli +23 more
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Stability and Instability of Solitary Wave Solutions of a Nonlinear Dispersive System of Benjamin-Bona-Mahony Type [PDF]
, 2003 2000 Mathematics Subject Classification: 35B35, 35B40, 35Q35, 76B25, 76E30.This paper concerns the orbital stability and instability of solitary waves of the system of coupling equations of Benjamin-Bona-Mahony type.
Hakkaev, Sevdzhan
core
, 2014 We give an example of a well posed, finite energy, 2D incompressible active scalar equation with the same scaling as the surface quasi-geostrophic equation and prove that it can produce finite time singularities. In spite of its simplicity, this seems to
Chae, Dongho +2 more
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, 2013 In this paper, we show the convergence rate of a solution toward the stationary solution to the initial boundary value problem for the one-dimensional bipolar compressible Navier-Stokes-Poisson equations.
Fang Zhou, Yeping Li
semanticscholar +1 more source
Single peaked traveling wave solutions to a generalized μ-Novikov Equation
Advances in Nonlinear Analysis, 2020 In this paper, we study the existence of peaked traveling wave solution of the generalized μ-Novikov equation with nonlocal cubic and quadratic nonlinearities.
Moon Byungsoo
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On the ℛ-boundedness for the two phase problem: compressible-incompressible model problem
, 2014 The situation of this paper is that the Stokes equation for the compressible viscous fluid flow in the upper half-space is coupled via inhomogeneous interface conditions with the Stokes equations for the incompressible one in the lower half-space, which ...
Takayuki Kubo, Y. Shibata, Kohei Soga
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Computational and Mathematical BiophysicsThis study presents a comprehensive mathematical framework that applies fluid dynamics to model the spatial spread of infectious diseases with low mortality rates.
Nnaji Daniel Ugochukwu +4 more
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Advances in Nonlinear Analysis, 2022 In this article, we will develop an analytical approach to construct the global bounded weak solutions to the initial-boundary value problem of a three-dimensional chemotaxis-Stokes system with porous medium cell diffusion Δnm\Delta {n}^{m} for m≥6563m ...
Tian Yu, Xiang Zhaoyin
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