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Basic themes and pretty problems of nonlinear solid mechanics

Stuart S. Antman University of Maryland Jian-Guo Liu University of Maryland

Analysis of PDEs mathscidoc:1702.03058

Milan Journal of Mathematics , 75, (1), 135-176, 2007.12
The first part of this paper describes some important underlying themes in the mathematical theory of continuum mechanics that are distinct from formulating and analyzing governing equations. The main part of this paper is devoted to a survey of some concrete, conceptually simple, pretty problems that help illuminate the underlying themes. The paper concludes with a discussion of the crucial role of invariant constitutive equations in computation.
Nonlinear solid mechanicsradial motionsexistencemultiplicityblowupinverse problemsquasistaticitycontrolinvariant artificial viscosity and shock structure
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@inproceedings{stuart2007basic,
  title={Basic themes and pretty problems of nonlinear solid mechanics},
  author={Stuart S. Antman, and Jian-Guo Liu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170209082146875972356},
  booktitle={Milan Journal of Mathematics },
  volume={75},
  number={1},
  pages={135-176},
  year={2007},
}
Stuart S. Antman, and Jian-Guo Liu. Basic themes and pretty problems of nonlinear solid mechanics. 2007. Vol. 75. In Milan Journal of Mathematics . pp.135-176. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170209082146875972356.
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