On nonlinear elastic waves in 2-D

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:268

Article

Zha, Dongbing^1,2 

[1] Donghua Univ, Dept Math, Shanghai 201620, Peoples R China

[2] Donghua Univ, Inst Nonlinear Sci, Shanghai 201620, Peoples R China

关键词: Nonlinear elastic waves;    2-D;    Null conditions;    Global existence;   

DOI  :  10.1016/j.jde.2019.08.044

来源: Elsevier

【 摘 要 】

For the Cauchy problem of 2-D nonlinear elastic waves of isotropic, homogeneous and hyperelastic materials satisfying null conditions, assuming the smallness of H-3 (R-2) x H-2(R-2) norm and the boundedness of H-4(R-2) H-3 (R-2) norm for radially symmetric initial data, we show the global existence of classical solutions. Similar results for exterior domain problems are also proved. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

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