Global Existence of Solutions to a Cross-Diffusion System in Higher Dimensional Domains

Yi Li; Chunshan Zhao

doi:10.3934/dcds.2005.12.185

Global Existence of Solutions to a Cross-Diffusion System in Higher Dimensional Domains

Yi Li, Chunshan Zhao

Mathematical Sciences

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

26 Scopus citations

Abstract

We consider a strongly coupled nonlinear parabolic system which arises from population dynamics in N -dimensional ( N ≥1) (N≥1) domains. We establish global existence of classical solutions under certain restrictions on diffusion coefficients, self-diffusion coefficients and cross-diffusion coefficients for both species.

Original language	American English
Journal	Discrete & Continuous Dynamical Systems
Volume	12
DOIs	https://doi.org/10.3934/dcds.2005.12.185
State	Published - 2005

Disciplines

Mathematics

Keywords

Cross-diffusion
Global Existence
Population Dynamics
Self-diffusion

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title = "Global Existence of Solutions to a Cross-Diffusion System in Higher Dimensional Domains",

abstract = " We consider a strongly coupled nonlinear parabolic system which arises from population dynamics in N -dimensional ( N ≥1) (N≥1) domains. We establish global existence of classical solutions under certain restrictions on diffusion coefficients, self-diffusion coefficients and cross-diffusion coefficients for both species. ",

keywords = "Cross-diffusion, Global Existence, Population Dynamics, Self-diffusion",

author = "Yi Li and Chunshan Zhao",

note = "We consider a strongly coupled nonlinear parabolic system which arises from population dynamics in $N$-dimensional $(N\geq 1)$ domains. We establish global existence of classical solutions under certain restrictions on diffusion coefficients, self-diffusion coefficients and cross-diffusion coefficients for both species.",

year = "2005",

doi = "10.3934/dcds.2005.12.185",

language = "American English",

volume = "12",

journal = "Discrete & Continuous Dynamical Systems",

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T1 - Global Existence of Solutions to a Cross-Diffusion System in Higher Dimensional Domains

AU - Li, Yi

AU - Zhao, Chunshan

N1 - We consider a strongly coupled nonlinear parabolic system which arises from population dynamics in $N$-dimensional $(N\geq 1)$ domains. We establish global existence of classical solutions under certain restrictions on diffusion coefficients, self-diffusion coefficients and cross-diffusion coefficients for both species.

PY - 2005

Y1 - 2005

N2 - We consider a strongly coupled nonlinear parabolic system which arises from population dynamics in N -dimensional ( N ≥1) (N≥1) domains. We establish global existence of classical solutions under certain restrictions on diffusion coefficients, self-diffusion coefficients and cross-diffusion coefficients for both species.

AB - We consider a strongly coupled nonlinear parabolic system which arises from population dynamics in N -dimensional ( N ≥1) (N≥1) domains. We establish global existence of classical solutions under certain restrictions on diffusion coefficients, self-diffusion coefficients and cross-diffusion coefficients for both species.

KW - Cross-diffusion

KW - Global Existence

KW - Population Dynamics

KW - Self-diffusion

UR - https://doi.org/10.3934/dcds.2005.12.185

U2 - 10.3934/dcds.2005.12.185

DO - 10.3934/dcds.2005.12.185

M3 - Article

VL - 12

JO - Discrete & Continuous Dynamical Systems

JF - Discrete & Continuous Dynamical Systems

ER -

Global Existence of Solutions to a Cross-Diffusion System in Higher Dimensional Domains

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Keywords

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