Variational methods for problems from plasticity theory and for generalized Newtonian fluids / Martin Fuchs, Gregory Seregin

Auteur principal : Fuchs, Martin, 1957-, AuteurCo-auteur : Seregin, Gregory, 1950-, AuteurType de document : MonographieCollection : Lecture notes in mathematics, 1749Langue : anglais.Pays: Allemagne.Éditeur : Berlin : Springer, 2000Description : 1 vol. (VI-269 p.) ; 24 cmISBN: 9783540413974.ISSN: 0075-8434.Bibliographie : Bibliogr p. [260]-267. Index.Sujet MSC : 74G40, Mechanics of deformable solids, Regularity of solutions of equilibrium problems in solid mechanics
74G65, Mechanics of deformable solids, Energy minimization in equilibrium problems in solid mechanics
49N60, Miscellaneous topics in calculus of variations and optimal control, Regularity of solutions in optimal control
76A05, Fluid mechanics, Non-Newtonian fluids
76M30, Fluid mechanics, Variational methods applied to problems in fluid mechanicsEn-ligne : Springerlink | Zentralblatt | MathSciNet
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This monograph presents a mathematical analysis of variational problems describing the equilibrium configuration for certain classes of solids and also for the stationary flow of some incompressible generalized Newtonian fluids. The mathematical forms of the two problems are very close and may be reduced to the study of variational integrals with convex integrands depending only on the symmetric part of the gradient of the unknown vector-valued functions. The monograph contains an Introduction, Chapter 1: Weak solutions to boundary value problems in the deformation theory of perfect elastoplasticity, Chapter 2: Differentiability properties of weak solutions to boundary value problems in the deformation theory of plasticity, Chapter 3: Quasi-static fluids of generalized Newtonian type, Chapter 4: Fluids of Prandtl-Eyring type and plastic materials with logarithmic hardening law, two Appendices, Notation and tools from functional analysis, Bibliography and Index. (MathSciNet)

Bibliogr p. [260]-267. Index

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