Zobrazeno 1 - 10
of 162
pro vyhledávání: '"Lou, Bendong"'
Autor:
Lou, Bendong
We consider a one dimensional porous media equation with a spatially periodic reaction. We first construct a periodic traveling wave whose profile tends to a positive steady state at left infinity and takes zero on the right half line, with a free bo
Externí odkaz:
http://arxiv.org/abs/2402.13269
Autor:
Lou, Bendong
We consider a porous media equation with balanced bistable reactions, equipped with some general nonlinear boundary condition. When the coefficient of the reaction term is much larger than that of the diffusion term, we see that, besides the possible
Externí odkaz:
http://arxiv.org/abs/2402.13268
In this paper, we study the long time behaviour of mean curvature flow in a cylinder with Robin boundary conditions. Such a boundary condition can force the solution to have a singular behaviour at the boundary when $t\to \infty$. The planar version
Externí odkaz:
http://arxiv.org/abs/2302.07831
Autor:
Lou, Bendong, Zhou, Maolin
Consider the Cauchy problem of one dimensional porous medium equation (PME) with reactions. We first prove a general convergence result, that is, any bounded global solution starting at a nonnegative compactly supported initial data converges as $t\t
Externí odkaz:
http://arxiv.org/abs/2211.00001
In this paper we consider a mean curvature flow $V=H+A$ in a high dimensional cylinder $\Omega\times \R$, where, $A$ is a constant, $\Omega$ is a bounded domain in $\R^n$, and, for a hypersurface $y=u(x,t)$ over $\Omega$, $V$ and $H$ denote its norma
Externí odkaz:
http://arxiv.org/abs/2210.16475
Autor:
Lou, Bendong, Yuan, Lixia
Publikováno v:
Journal de Mathematiques Pures et Appliquees, 176 (2023), 102-137
We study a generalized mean curvature flow involving a positive power of the mean curvature and a driving force. In this paper, we first construct all kinds of radially symmetric translating solutions, and then select one of them to satisfy a prescri
Externí odkaz:
http://arxiv.org/abs/2205.14431
Publikováno v:
In Journal of Functional Analysis 1 March 2024 286(5)
Akademický článek
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Autor:
Lou, Bendong, Yuan, Lixia
Publikováno v:
In Journal de mathématiques pures et appliquées August 2023 176:102-137