Results 61 to 70 of about 1,087 (167)

Global attractor for a semilinear parabolic equation involving Grushin operator

open access: yesElectronic Journal of Differential Equations, 2008
The aim of this paper is to prove the existence of a global attractor for a semilinear degenerate parabolic equation involving the Grushin operator.
Phan Quoc Hung   +3 more
doaj  

A Note on the Domain of Attraction for the Stationary Solution to a Singularly Perturbed Parabolic Equation

open access: yesМоделирование и анализ информационных систем, 2017
We consider  a boundary-value problem  for a singularly  perturbed parabolic  equation with an initial function  independent of a perturbation parameter in the case where a degenerate stationary equation  has smooth possibly intersecting roots.
Mikhail A. Terentyev
doaj   +1 more source

Characterization of Lorenz number with Seebeck coefficient measurement

open access: yesAPL Materials, 2015
In analyzing zT improvements due to lattice thermal conductivity (κL) reduction, electrical conductivity (σ) and total thermal conductivity (κTotal) are often used to estimate the electronic
Hyun-Sik Kim   +4 more
doaj   +1 more source

Uniqueness and stability of solutions without the boundary condition

open access: yesBoundary Value Problems, 2019
A parabolic equation related to the p-Laplacian is considered. If the equation is degenerate on the boundary, then demonstrating the regularity on the boundary is difficult, the trace on the boundary cannot be defined, in general.
Huashui Zhan
doaj   +1 more source

Approximate general solution of degenerate parabolic equations related to population genetics

open access: yesElectronic Journal of Differential Equations, 1995
degenerate parabolic equation related to population genetics and implements a computational procedure. The result gives a theoretical foundation to the computer algebraic approach for degenerate partial differential equations and introduces a new ...
Kazuo Amano
doaj  

Viscosity solutions to degenerate diffusion problems

open access: yesElectronic Journal of Differential Equations, 2007
This paper concerns the weak solutions to a Cauchy problem in $R^N$ for a degenerate nonlinear parabolic equation. We obtain the Holder regularity of the weak solutions to this problem.
Zu-Chi Chen, Yan-Yan Zhao
doaj  

Radial symmetric solutions of the Cahn-Hilliard equation with degenerate mobility

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2001
In this paper we study the radial symmetric solutions of the two-dimensional Cahn-Hilliard equation with degenerate mobility. We adopt the method of parabolic regularization.
Jingxue Yin, Changchun Liu
doaj   +1 more source

Existence and continuity of global attractors for a degenerate semilinear parabolic equation

open access: yesElectronic Journal of Differential Equations, 2009
In this article, we study the existence and the upper semicontinuity with respect to the nonlinearity and the shape of the domain of global attractors for a semilinear degenerate parabolic equation involving the Grushin operator.
Cung The Anh, Tran Dinh Ke
doaj  

Homogenization of a nonlinear degenerate parabolic differential equation

open access: yesElectronic Journal of Differential Equations, 2001
In this article, we study the homogenization of the nonlinear degenerate parabolic equation $$ partial_t b({x /varepsilon},u_varepsilon) - mathop{ m div} a({x /varepsilon},{t /varepsilon}, u_varepsilon,abla u_varepsilon)=f(x,t), $$ with mixed boundary ...
A. K. Nandakumaran, M. Rajesh
doaj  

ON AN OPTIMAL STARTING CONTROL PROBLEM FOR DEGENERATE PARABOLIC EQUATION

open access: yesVìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2013
An optimal control problem for degenerate parabolic equation with mixed boundary conditions are considered. Having applied the Hardy - Poincare inequality, it is shown that this problem has a unique optimal solution in the correspondence weighted Sobolev
I. G. Balanenko, P. I. Kogut
doaj   +1 more source

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