Absorbing boundary conditions for reaction-diffusion equations

被引：10

作者：

Szeftel, J ^{[1
]}

机构：

[1] Univ Paris 13, LAGA, UMR 7539, Inst Galilee, F-93430 Villetaneuse, France

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 2003年 / 68卷 / 02期

关键词：

absorbing boundary conditions; finite elements; Galerkin method; reaction-diffusion equations; existence of uniqueness result;

D O I：

10.1093/imamat/68.2.167

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We treat here of the question of absorbing boundary conditions for nonlinear diffusion equations. We use the conditions designed for the linear equation, we prove them to be well posed for the nonlinear problem, and through numerical experiments that they are well suited for reaction-diffusion equations.

引用

页码：167 / 184

页数：18

共 50 条

[11] Localization on the boundary of blow-up for reaction-diffusion equations with nonlinear boundary conditions
Arrieta, JM
Rodríguez-Bernal, A
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2004, 29 (7-8) : 1127 - 1148
[12] Amplitude equation for the stochastic reaction-diffusion equations with random Neumann boundary conditions
Mohammed, Wael W.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (18) : 4867 - 4878
[13] Bifurcation from infinity for reaction-diffusion equations under nonlinear boundary conditions
Mavinga, Nsoki
Pardo, Rosa
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2017, 147 (03) : 649 - 671
[14] Periodic Solutions with a Boundary Layer of Reaction-Diffusion Equations with Singularly Perturbed Neumann Boundary Conditions
Butuzov, Valentin F.
Nefedov, Nikolay N.
Recke, Lutz
Schneider, Klaus R.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2014, 24 (08):
[15] REACTION-DIFFUSION EQUATIONS WITH FRACTIONAL DIFFUSION ON NON-SMOOTH DOMAINS WITH VARIOUS BOUNDARY CONDITIONS
Gal, Ciprian G.
Warma, Mahamadi
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (03) : 1279 - 1319
[16] ABSORBING BOUNDARY-CONDITIONS FOR DIFFUSION-EQUATIONS
HALPERN, L
RAUCH, J
NUMERISCHE MATHEMATIK, 1995, 71 (02) : 185 - 224
[17] The physics of boundary conditions in reaction-diffusion problems
Piazza, Francesco
JOURNAL OF CHEMICAL PHYSICS, 2022, 157 (23):
[18] REACTION-DIFFUSION WAVES WITH NONLINEAR BOUNDARY CONDITIONS
Apreutesei, Narcisa
Volpert, Vitaly
NETWORKS AND HETEROGENEOUS MEDIA, 2013, 8 (01) : 23 - 35
[19] Correction factors for boundary diffusion in reaction-diffusion master equations
Leier, Andre
Marquez-Lago, Tatiana T.
JOURNAL OF CHEMICAL PHYSICS, 2011, 135 (13):
[20] Reaction-Diffusion Equations with Large Diffusion and Convection Heating at the Boundary
Pires, Leonardo
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2025,

← 1 2 3 4 5 →