外部区域上的一类半线性伪抛物型方程

本文主要考虑在外区域上的一类半线性伪抛物型方程的解的长时间行为.本文得到的临界指标揭示了边界上的非齐次条件将对解的长时间行为产生本质影响.     

SEMIGROUP APPROACH TO A DOUBLY DEGENERATE PARABOLIC EQUATION

1.IntroductionWeareconcernedwiththesemigroupapproachtotheinitialvalueproblemfordoublynonlineardegenerateparabolicequationoftheformwhicharisesfromdifferentphysicalbackgroundssuchasthemodelingofthemotionofnon-Newtonianfluids.Inthepastyears,thenonlinear...     

具奇异源p-Laplace方程的多重径向正解

考虑具非齐次边值条件的p-Laplace方程多重径向正解的存在性,借助于Guo-Krasnoselskii锥不动点定理,得到了至少三个径向正解的存在性.     

FINITE SPEED OF PROPAGATION OF SOLUTIONS FOR SOME QUASILINEAR HIGHER ORDER PARABOLIC EQUATIONS WITH DOUBLY STRONG DEGENERATION

Under some condtions, one seows that the generalized solutions of the first boundary value problem for the equationhave the property of finite speed of propagation.     

Uniqueness of BV Entropy Solutions for Higher Dimensional Quasilinear Parabolic Equations with Arbitrary Degeneracy

We are concerned with the uniqueness of solutions of the Cauchy problemand a(s),b(s) are appropriately smooth.Since a(s) is allowed to have zero points, we call them points of degeneracy of (1), the equation (1) does not admit classical solutions in general. The solutions of (1) even might be discontinuous, whenever the set E = {s : a(s) = 0} includes interior points.Equations with degeneracy arise from a wide variety of diffusive processes in nature     

具浓度相关迁移率的对流扩散Cahn-Hilliard方程

In this paper, we study the global existence of classical solutions for the convective-diffusive Cahn-Hilliard equation with concentration dependent mobility. Based on the Schauder type estimates, we establish the global existence of classicalsolutions.     

非牛顿流体中对称扩散的稳态解

本文研究来源于非牛顿流体等许多物理现象中产生的一类扩散方程的稳态解．这类方程一般具有退化性和奇异性．利用摄动技巧证明了具对称性的古典解的存在性，并在某种一般的条件下讨论了解的唯一性     

具浓度相关迁移率的粘性Cahn-Hilliard方程

This paper is devoted to viscous Cahn-Hiliiard equation with concentration dependent mobility. Some results on the existence, uniqueness and large time behavior are established.