Journal article
The Decoupling of Elastic Waves from a Weak Formulation Perspective
East Asian journal on applied mathematics, v 9(2), pp 241-251
01 May 2019
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Abstract
Two weak formulations for the Lame system with the boundary conditions of third and fourth types are proposed. It is shown that the regularity of the solutions and properties of the boundary surface guarantee the equivalence of variational and standard formulations of the problem. Moreover, if the boundary of Omega is a Lipschitz polyhedron or if S(x) = 0 on partial derivative Omega, the decoupling results of [8] are derived from the weak formulations.
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Details
- Title
- The Decoupling of Elastic Waves from a Weak Formulation Perspective
- Creators
- Junjiang Lai - Minjiang UniversityHongyu Liu - Hong Kong Baptist UniversityJingni Xiao - Rutgers, The State University of New JerseyYifeng Xu - Shanghai Normal University
- Publication Details
- East Asian journal on applied mathematics, v 9(2), pp 241-251
- Publisher
- Global Science Press
- Number of pages
- 11
- Grant note
- 20123127120001 / Ministry of Education of China through Special Research Fund for the Doctoral Program of Higher Education 12302017; 12301218 / Hong Kong RGC; Hong Kong Research Grants Council FRG grants from Hong Kong Baptist University 17ZR1420800 / Natural Science Foundation of Shanghai 11201307 / National Natural Science Foundation of China; National Natural Science Foundation of China (NSFC) 2016J01670 / Natural Science Foundation of Fujian Province of China; Natural Science Foundation of Fujian Province
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000462355000003
- Scopus ID
- 2-s2.0-85074310251
- Other Identifier
- 991021878115004721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics, Applied