Blow-up criterion for compressible visco-elasticity equations in three dimensional space

Yi Du; Chun Liu; Qingtian Zhang

doi:10.4310/CMS.2014.v12.n3.a4

Blow-up criterion for compressible visco-elasticity equations in three dimensional space

Yi Du, Chun Liu, Qingtian Zhang

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

3 Scopus citations

Abstract

In this paper, we prove a blow-up criterion for 3D compressible visco-elasticity in terms of the upper bound of the density and the deformation tensor. Due to the special structure of the equation, we get the cancellation to the derivatives of the density and transform tensor, which brings us the desired results.

Original language	English (US)
Pages (from-to)	473-484
Number of pages	12
Journal	Communications in Mathematical Sciences
Volume	12
Issue number	3
DOIs	https://doi.org/10.4310/CMS.2014.v12.n3.a4
State	Published - 2014

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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10.4310/CMS.2014.v12.n3.a4

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title = "Blow-up criterion for compressible visco-elasticity equations in three dimensional space",

abstract = "In this paper, we prove a blow-up criterion for 3D compressible visco-elasticity in terms of the upper bound of the density and the deformation tensor. Due to the special structure of the equation, we get the cancellation to the derivatives of the density and transform tensor, which brings us the desired results.",

author = "Yi Du and Chun Liu and Qingtian Zhang",

year = "2014",

doi = "10.4310/CMS.2014.v12.n3.a4",

language = "English (US)",

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journal = "Communications in Mathematical Sciences",

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T1 - Blow-up criterion for compressible visco-elasticity equations in three dimensional space

AU - Du, Yi

AU - Liu, Chun

AU - Zhang, Qingtian

PY - 2014

Y1 - 2014

N2 - In this paper, we prove a blow-up criterion for 3D compressible visco-elasticity in terms of the upper bound of the density and the deformation tensor. Due to the special structure of the equation, we get the cancellation to the derivatives of the density and transform tensor, which brings us the desired results.

AB - In this paper, we prove a blow-up criterion for 3D compressible visco-elasticity in terms of the upper bound of the density and the deformation tensor. Due to the special structure of the equation, we get the cancellation to the derivatives of the density and transform tensor, which brings us the desired results.

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DO - 10.4310/CMS.2014.v12.n3.a4

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VL - 12

SP - 473

EP - 484

JO - Communications in Mathematical Sciences

JF - Communications in Mathematical Sciences

IS - 3

ER -

Blow-up criterion for compressible visco-elasticity equations in three dimensional space

Abstract

All Science Journal Classification (ASJC) codes

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