A free boundary problem stemmed from combustion theory. Part II: Stability, instability and bifurcation results

被引：12

作者：

Lorenzi, L ^{[1
]}

机构：

[1] Univ Parma, Dipartimento Matemat, I-43100 Parma, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 275卷 / 01期

关键词：

free boundary problems; linearization; fully nonlinear elliptic and parabolic systems; stability; bifurcation;

D O I：

10.1016/S0022-247X(02)00280-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We deal with a free boundary problem, depending on a real parameter lambda, in a infinite strip in R-2, providing stability, instability and bifurcation. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：131 / 160

页数：30

共 50 条

[1] A free boundary problem stemmed from combustion theory. Part 1: Existence, uniqueness and regularity results
Lorenzi, L
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 274 (02) : 505 - 535
[2] Results of regularity, stability, instability and bifurcation for free-boundary problem
Lorenzi, L
[J]. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2001, 4A (03): : 487 - 490
[3] Bifurcation from stability to instability for a free boundary problem arising in a tumor model
Friedman, A
Hu, B
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2006, 180 (02) : 293 - 330
[4] Bifurcation From Stability to Instability for a Free Boundary Problem Arising in a Tumor Model
Avner Friedman
Bei Hu
[J]. Archive for Rational Mechanics and Analysis, 2006, 180 : 293 - 330
[5] Bifurcation from stability to instability for a free boundary problem modeling tumor growth by Stokes equation
Friedman, Avner
Hu, Bei
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 327 (01) : 643 - 664
[6] BIFURCATION FROM STABILITY TO INSTABILITY FOR A FREE BOUNDARY TUMOR MODEL WITH ANGIOGENESIS
Huang, Yaodan
Zhang, Zhengce
Hu, Bei
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 39 (05) : 2473 - 2510
[7] Stability and instability of Liapunov-Schmidt and Hopf bifurcation for a free boundary problem arising in a tumor model
Friedman, Avner
Hu, Bei
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 360 (10) : 5291 - 5342
[8] A FREE-BOUNDARY PROBLEM RELATED TO CONDENSED 2-PHASE COMBUSTION .2. STABILITY AND BIFURCATION
CHOW, SN
SHEN, WX
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1994, 108 (02) : 390 - 423
[9] Nonuniqueness in a Free Boundary Problem from Combustion
Arshak Petrosyan
Nung Kwan Yip
[J]. Journal of Geometric Analysis, 2008, 18 : 1098 - 1126
[10] Nonuniqueness in a free boundary problem from combustion
Petrosyan, Arshak
Yip, Nung Kwan
[J]. JOURNAL OF GEOMETRIC ANALYSIS, 2008, 18 (04) : 1098 - 1126

← 1 2 3 4 5 →