Homogenization theory in nonlinear partial differential equations

被引：0

作者：

Lee, Ki-Ahm ^{[1
]}

机构：

[1] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea

来源：

PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS (ICM 2014), VOL III | 2014年

关键词：

Homogenization; nonlinear partial differential equations; free boundary problems; FLAME PROPAGATION;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we are going to consider recent works in Homogenization Theory in Nonlinear Partial Differential Equations, which concerns the derivation of a macroscopic homogenized (or effective) equation for the system with oscillating microscopic structures. Mainly we focus on topics related with the homogenization for high oscillation, nonvariational problems, lower dimensional oscillations or equations of nondivergence type.

引用

页码：811 / 834

页数：24

共 50 条

[1] Homogenization of Partial Differential Equations
Kolumban, J.
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2007, 52 (01): : 162 - 163
[2] HOMOGENIZATION OF NONLINEAR HYPERBOLIC STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS WITH NONLINEAR DAMPING AND FORCING
Mohammed, Mogtaba
Sango, Mamadou
NETWORKS AND HETEROGENEOUS MEDIA, 2019, 14 (02) : 341 - 369
[3] PERIODIC HOMOGENIZATION OF CERTAIN FULLY NONLINEAR PARTIAL-DIFFERENTIAL EQUATIONS
EVANS, LC
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1992, 120 : 245 - 265
[4] Homogenization of Nonlinear Stochastic Partial Differential Equations in a General Ergodic Environment
Razafimandimby, Paul Andre
Woukeng, Jean Louis
STOCHASTIC ANALYSIS AND APPLICATIONS, 2013, 31 (05) : 755 - 784
[5] Spectral theory and nonlinear partial differential equations: A survey
Schlag, W
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2006, 15 (03) : 703 - 723
[6] Homogenization for stochastic partial differential equations derived from nonlinear filterings with feedback
Ichihara, N
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2005, 57 (02) : 593 - 603
[7] Homogenization of a class of linear partial differential equations
Waurick, Marcus
ASYMPTOTIC ANALYSIS, 2013, 82 (3-4) : 271 - 294
[8] THE THEORY OF NONLOCAL SYMMETRIES OF NONLINEAR PARTIAL-DIFFERENTIAL EQUATIONS
VINOGRADOV, AM
KRASILSHCHIK, IS
DOKLADY AKADEMII NAUK SSSR, 1984, 275 (05): : 1044 - 1049
[9] SOME PROBLEMS OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS IN FIELD THEORY
Boling Guo
Fangfang Li
Annals of Applied Mathematics, 2018, 34 (04) : 331 - 344
[10] NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
LAX, PD
AMERICAN MATHEMATICAL MONTHLY, 1970, 77 (04): : 430 - &

← 1 2 3 4 5 →