Traveling-wave solutions of parabolic systems with discontinuous nonlinear terms

A. I. Volpert; V. A. Volpert

doi:10.1016/S0362-546X(01)00103-1

Traveling-wave solutions of parabolic systems with discontinuous nonlinear terms

A. I. Volpert, V. A. Volpert^*

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

A study of traveling-wave solutions (TWS) of parabolic systems with discontinuous nonlinear terms was performed. TWS of parabolic systems described transitions from one equilibrium state of the system to another. The analysis was performed using topological degree approach and the Leray-Schauder method. The index of a stationary point determined by virtue of the Fredholm property of the corresponding operator was used for the application of the Leray-Schauder method.

Original language	English (US)
Pages (from-to)	113-139
Number of pages	27
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	49
Issue number	1
DOIs	https://doi.org/10.1016/S0362-546X(01)00103-1
State	Published - Apr 2002

Keywords

Existence
Parabolic system
Traveling wave

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/S0362-546X(01)00103-1

Cite this

@article{9d0c8f94baee47a28381202e287a021b,

title = "Traveling-wave solutions of parabolic systems with discontinuous nonlinear terms",

abstract = "A study of traveling-wave solutions (TWS) of parabolic systems with discontinuous nonlinear terms was performed. TWS of parabolic systems described transitions from one equilibrium state of the system to another. The analysis was performed using topological degree approach and the Leray-Schauder method. The index of a stationary point determined by virtue of the Fredholm property of the corresponding operator was used for the application of the Leray-Schauder method.",

keywords = "Existence, Parabolic system, Traveling wave",

author = "Volpert, {A. I.} and Volpert, {V. A.}",

year = "2002",

month = apr,

doi = "10.1016/S0362-546X(01)00103-1",

language = "English (US)",

volume = "49",

pages = "113--139",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Ltd",

number = "1",

}

TY - JOUR

T1 - Traveling-wave solutions of parabolic systems with discontinuous nonlinear terms

AU - Volpert, A. I.

AU - Volpert, V. A.

PY - 2002/4

Y1 - 2002/4

N2 - A study of traveling-wave solutions (TWS) of parabolic systems with discontinuous nonlinear terms was performed. TWS of parabolic systems described transitions from one equilibrium state of the system to another. The analysis was performed using topological degree approach and the Leray-Schauder method. The index of a stationary point determined by virtue of the Fredholm property of the corresponding operator was used for the application of the Leray-Schauder method.

AB - A study of traveling-wave solutions (TWS) of parabolic systems with discontinuous nonlinear terms was performed. TWS of parabolic systems described transitions from one equilibrium state of the system to another. The analysis was performed using topological degree approach and the Leray-Schauder method. The index of a stationary point determined by virtue of the Fredholm property of the corresponding operator was used for the application of the Leray-Schauder method.

KW - Existence

KW - Parabolic system

KW - Traveling wave

UR - http://www.scopus.com/inward/record.url?scp=0036532635&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036532635&partnerID=8YFLogxK

U2 - 10.1016/S0362-546X(01)00103-1

DO - 10.1016/S0362-546X(01)00103-1

M3 - Article

AN - SCOPUS:0036532635

SN - 0362-546X

VL - 49

SP - 113

EP - 139

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 1

ER -

Traveling-wave solutions of parabolic systems with discontinuous nonlinear terms

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this