Advances in Mechanics and Mathematics

1. Front Matter

   Pages i-xvii

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2. Nonsmooth Mechanics of Solids

   1. Front Matter

      Pages 1-1

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   2. Dynamics of Rigid Bodies Systems with Unilateral or Frictional Constraints

      • Patrick Ballard

      Pages 3-87

   3. Semilinear Hemivariational Inequalities with Dirichlet Boundary Condition

      • Dumitru Motreanu, Zdzisław Naniewicz

      Pages 89-110

3. Dendritic Growth in Fluids

   1. Front Matter

      Pages 111-111

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   2. Dynamics of Dendritic Growth Interacting with Convective Flow

      • Jian-Jun Xu

      Pages 113-302

Advances in Mechanics and Mathematics (AMMA) is intended to bridge the gap by providing multi-disciplinary publications. This volume, AMMA 2002, includes two parts with three articles by four subject experts. Part 1 deals with nonsmooth static and dynamic systems. A systematic mathematical theory for multibody dynamics with unilateral and frictional constraints and a brief introduction to hemivariational inequalities together with some new developments in nonsmooth semi-linear elliptic boundary value problems are presented. Part 2 provides a comprehensive introduction and the latest research on dendritic growth in fluid mechanics, one of the most profound and fundamental subjects in the area of interfacial pattern formation, a commonly observed phenomenon in crystal growth and solidification processes.

• Applied Mathematics
• Boundary value problem
• convection
• fluid mechanics
• mathematics
• mechanics
• fluid- and aerodynamics
• partial differential equations

• Department of Mathematics, Virginia Polytechnic Institute & State University, Blacksburg, USA

  David Y. Gao

• Department of Mathematics, University of Glasgow, University Gardens, Glasgow, Scotland, UK

  Ray W. Ogden

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