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

27 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

Mathematics(all)

More information

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

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KW - Diffusion limit

KW - Explicit decay rate

KW - Large-amplitude solution

KW - Long-time behavior

KW - Spatial analyticity

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M3 - Journal article

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JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

More information

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