Asymptotic and viscous stability of large-amplitude solutions of a hyperbolic system arising from biology

Vincent R. Martinez; Zhian Wang; Kun Zhao

doi:10.1512/iumj.2018.67.7394

Asymptotic and viscous stability of large-amplitude solutions of a hyperbolic system arising from biology

Vincent R. Martinez
, Zhian Wang
, Kun Zhao

Department of Applied Mathematics

Research output: Journal article publication › Journal article › Academic research › peer-review

53 Citations (Scopus)

Abstract

In this paper, we study the qualitative behavior of the Cauchy problem of a hyperbolic model x ∈ R ^d , t > 0, ( ^p q ^t _t ⁻ − ^∇· ∇(ε ( ^p |q ^q

Original language	English
Pages (from-to)	1383-1424
Number of pages	42
Journal	Indiana University Mathematics Journal
Volume	67
Issue number	4
DOIs	https://doi.org/10.1512/iumj.2018.67.7394
Publication status	Published - Jan 2018

Keywords

Diffusion limit
Explicit decay rate
Large-amplitude solution
Long-time behavior
Spatial analyticity

ASJC Scopus subject areas

General Mathematics

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10.1512/iumj.2018.67.7394

Cite this

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title = "Asymptotic and viscous stability of large-amplitude solutions of a hyperbolic system arising from biology",

abstract = " In this paper, we study the qualitative behavior of the Cauchy problem of a hyperbolic model x ∈ R d , t > 0, ( p q t t − − ∇· ∇(ε ( p |q q",

keywords = "Diffusion limit, Explicit decay rate, Large-amplitude solution, Long-time behavior, Spatial analyticity",

author = "Martinez, \{Vincent R.\} and Zhian Wang and Kun Zhao",

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AU - Wang, Zhian

AU - Zhao, Kun

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N2 - In this paper, we study the qualitative behavior of the Cauchy problem of a hyperbolic model x ∈ R d , t > 0, ( p q t t − − ∇· ∇(ε ( p |q q

AB - In this paper, we study the qualitative behavior of the Cauchy problem of a hyperbolic model x ∈ R d , t > 0, ( p q t t − − ∇· ∇(ε ( p |q q

KW - Diffusion limit

KW - Explicit decay rate

KW - Large-amplitude solution

KW - Long-time behavior

KW - Spatial analyticity

UR - https://www.scopus.com/pages/publications/85060331333

U2 - 10.1512/iumj.2018.67.7394

DO - 10.1512/iumj.2018.67.7394

M3 - Journal article

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EP - 1424

JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

IS - 4

ER -

Asymptotic and viscous stability of large-amplitude solutions of a hyperbolic system arising from biology

Abstract

Keywords

ASJC Scopus subject areas

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