Results 51 to 60 of about 172 (152)

Canonically Conjugate Variables for the μCH Equation [PDF]

, 2012
2010 Mathematics Subject Classification: 35Q35, 37K10.We consider the μCH equation which arises as an asymptotic rotator equation in a liquid crystal with a preferred direction if one takes into account the reciprocal action of dipoles on themselves ...
Christov, Ognyan
core  

Stability on 3D Boussinesq system with mixed partial dissipation

Advances in Nonlinear Analysis
In the article, we are concerned with the three-dimensional anisotropic Boussinesq equations with the velocity dissipation in x2{x}_{2} and x3{x}_{3} directions and the thermal diffusion in only x3{x}_{3} direction.
Lin Hongxia, Liu Sen, Guo Xiaochuan, You Ruiqi   +3 more
doaj   +1 more source

Elsässer formulation of the ideal MHD and improved lifespan in two space dimensions

, 2020
SubmittedInternational audienceIn the present paper, we show an improved lower bound for the lifespan of the solutions to the ideal MHD equations in the case of space dimension d = 2.
Cobb, Dimitri, Fanelli, Francesco
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Regularity of weak solutions to the 3D stationary tropical climate model

Open Mathematics
This article studies the regularity of weak solutions to the 3D stationary tropical climate model. We prove that when (U,V,θ)\left(U,V,\theta ) belongs to the homogeneous Morrey space M˙2,p(R3){\dot{M}}^{2,p}\left({{\mathbb{R}}}^{3}) with p>3p\gt 3, then
Song Huiyang, Bie Qunyi, Zhou Yanping
doaj   +1 more source

The lifespan of a class of smooth spherically symmetric solutions to the compressible Euler equations with variable entropy in three space dimensions

, 2005
76N10, 35Q35, 35L99info:eu-repo/semantics ...
Godin, Paul
core  

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

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
doaj   +1 more source

On the regularity of weak solutions of the Boussinesq equations in Besov spaces

, 2019
The main issue addressed in this paper concerns an extension of a result by Z. Zhang who proved, in the context of the homogeneous Besov spaceḂ −1 ∞,∞ (R 3), that, if the solution of the Boussinesq equation (1.1) below (starting with an initial data in H
Thera, Michel, Ragusa, M,, Barbagallo, A., Gala, S., Ragusa, M, A   +4 more
core   +1 more source

High-order Krylov-Newton and

, 2007
Keywords: secant methods, Krylov subspace methods, nonlinear equations, Newton's method, Broydcn's method AMS(MOS) subject classification: 3504, 35Q35, 35M10 ...
Fast Krylov-Secant Methods, Hector Klie, Marcelo Raml, Marcelo Rame, Hictor Kle, F. Wheeler, Mary Wheeler, Mary   +7 more
core  

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