Results 91 to 100 of about 18,044,700 (176)

Global Well-Posedness of mKdV in L2 (T,R)

, 2005
We show that the Miura map L2(T) → H-1(T), r↦rx + r2 is a global fold and then apply our results on global well-posedness of KdV in H-1(T) to show that mKdV is globally well-posed in L2(T)
Topalov, P, Kappeler, T
core   +1 more source

Global well-posedness of the 2D micropolar fluid flows with mixed dissipation

Electronic Journal of Differential Equations, 2016
This article concerns the global well-posedness of the 2D micropolar fluid flows with mixed dissipation: $$ -\partial_{yy}(-\Delta)^\alpha u_1,\quad -\partial_{xx}(-\Delta)^\alpha u_2,\quad (-\Delta)^\beta w.
Yan Jia, Wenjuan Wang, Bo-Qing Dong
doaj  

Asymptotic behavior of Kirchhoff type plate equations with nonlocal weak damping, anti-damping and subcritical nonlinearity

Electronic Journal of Differential Equations
In this work we study the global well-posedness, dissipativity and existence of global attractors for Kirchhoff type plate equations with nonlocal weak damping and anti-damping, when the nonlinear term $g(u)$ satisfies a subcritical growth condition ...
Ling Xu, Yanni Wang, Bianxia Yang
doaj  

Existence and upper semicontinuity of global attractors for neural fields in an unbounded domain

Electronic Journal of Differential Equations, 2010
In this article, we prove the existence and upper semicontinuity of compact global attractors for the flow of the equation $$ frac{partial u(x,t)}{partial t}=-u(x,t)+ J*(fcirc u)(x,t)+ h, quad h > 0, $$ in $L^{2}$ weighted spaces.
Severino Horacio Da Silva
doaj  

Global well-posedness for a critical nonlocal transport equation with analytic nonlinearity

Demonstratio Mathematica
This paper studies the well-posedness of the critical nonlocal transport equation∂tu+|D|u+∂x(f(u))=0,(t,x)∈(0,∞)×R, $${\partial }_{t}u+\vert D\vert u+{\partial }_{x}\left(f\left(u\right)\right)=0,\quad \left(t,x\right)\in \left(0,\infty \right){\times ...
Blel Mongi, Benameur Jamel
doaj   +1 more source

Global well-posedness of semilinear hyperbolic equations, parabolic equations and Schrodinger equations

Electronic Journal of Differential Equations, 2018
This article studies the existence and nonexistence of global solutions to the initial boundary value problems for semilinear wave and heat equation, and for Cauchy problem of nonlinear Schrodinger equation.
Runzhang Xu, Yuxuan Chen, Yanbing Yang, Shaohua Chen, Jihong Shen   +4 more
doaj  

Global well-posedness for Euler-Boussinesq system with critical dissipation

, 2010
24 pagesInternational audienceIn this paper we study a fractional diffusion Boussinesq model which couples the incompressible Euler equation for the velocity and a transport equation with fractional diffusion for the temperature.
Hmidi, Taoufik, Rousset, Frédéric, T. Hmidi, Keraani, Sahbi, F. Rousset, S. Keraani   +5 more
core   +1 more source

ε-solutions for quasi-variationalinequalities

, 2007
Approximate solutions for quasi-variational inequalities and for vector quasi-variationalinequalities have been recently investigated by the speaker.In this talk, we introduce and analyze the corresponding concepts of well-posedness and discuss about the
LIGNOLA, MARIA BEATRICE
core  

Semiclassical limit and well-posedness of nonlinear Schrodinger-Poisson systems

Electronic Journal of Differential Equations, 2003
This paper concerns the well-posedness and semiclassical limit of nonlinear Schrodinger-Poisson systems. We show the local well-posedness and the existence of semiclassical limit of the two models for initial data with Sobolev regularity, before shocks ...
Hailiang Li, Chi-Kun Lin
doaj  

Global in time well-posedness of a three-dimensional periodic regularized Boussinesq system

Demonstratio Mathematica
Global in time weak solution to a regularized periodic three-dimensional Boussinesq system is proved to exist in energy spaces. This solution depends continuously on the initial data. In particular, it is unique.
Almutairi Shahah
doaj   +1 more source