Results 31 to 40 of about 158 (55)

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

Optimal Regularity for a Class of Singular Abstract Parabolic Equations [PDF]

, 2006
A general class of singular abstract Cauchy problems is considered which naturally arises in applications to certain Free Boundary Problems. Existence of an associated evolution operator characterizing its solutions is established and is subsequently used to derive optimal regularity results. The latter are well known to be important basic tools needed
arxiv   +1 more source

Fractional nonlocal impulsive quasilinear multi-delay integro-differential systems

Advances in Difference Equations, 2011
In this article, sufficient conditions for the existence result of quasilinear multi-delay integro-differential equations of fractional orders with nonlocal impulsive conditions in Banach spaces have been presented using fractional calculus, resolvent ...
Debbouche Amar
doaj  

On Some Gronwall Type Inequalities Involving Iterated Integrals [PDF]

arXiv, 2003
In this paper, some new Gronwall type inequalities involving iterated integrals are given.
arxiv  

Steady state coexistence solutions of reaction-diffusion competition models [PDF]

arXiv, 2003
This paper explains the uniqueness of positive steady state of general Lotka-Volterra competition model of two species of animals in the same environment.
arxiv  

Uniqueness of coexistence state with small perturbation [PDF]

arXiv, 2003
In this paper, we study the uniqueness of coexistence state for multiple species of animals in the same environment.
arxiv  

Global well-posedness in the Energy space for the Benjamin-Ono equation on the circle [PDF]

arXiv, 2005
We prove that the Benjamin-Ono equation is well-posed in $ H^{1/2}(\T) $. This leads to a global well-posedness result in $ H^{1/2}(\T) $ thanks to the energy conservation.
arxiv  

Global Solution to the Three-Dimensional Incompressible Flow of Liquid Crystals [PDF]

, 2009
The equations for the three-dimensional incompressible flow of liquid crystals are considered in a smooth bounded domain. The existence and uniqueness of the global strong solution with small initial data are established. It is also proved that when the strong solution exists, all the global weak solutions constructed in [16] must be equal to the ...
arxiv   +1 more source

Well-posedness in H^1 for the (generalized) Benjamin-Ono equation on the circle [PDF]

arXiv, 2006
We prove the local well posedness of the Benjamin-Ono equation and the generalized Benjamin-Ono equation in $ H^1(\T) $. This leads to a global well-posedness result in $ H^1(\T)$ for the Benjamin-Ono equation.
arxiv  

On the backward uniqueness property for a class of parabolic operators [PDF]

arXiv, 2006
We give sharp regularity conditions, ensuring the backward uniquess property to a class of parabolic operators.
arxiv