Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids - Martin Fuchs, Gregory Seregin

Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids

Buch | Softcover
VIII, 276 Seiten
2000 | 2000
Springer Berlin (Verlag)
978-3-540-41397-4 (ISBN)
53,49 inkl. MwSt
Variational methods are applied to prove the existence of weak solutions for boundary value problems from the deformation theory of plasticity as well as for the slow, steady state flow of generalized Newtonian fluids including the Bingham and Prandtl-Eyring model. For perfect plasticity the role of the stress tensor is emphasized by studying the dual variational problem in appropriate function spaces. The main results describe the analytic properties of weak solutions, e.g. differentiability of velocity fields and continuity of stresses. The monograph addresses researchers and graduate students interested in applications of variational and PDE methods in the mechanics of solids and fluids.

Weak solutions to boundary value problems in the deformation theory of perfect elastoplasticity.- Differentiability properties of weak solutions to boundary value problems in the deformation theory of plasticity.- Quasi-static fluids of generalized Newtonian type.- Fluids of Prandtl-Eyring type and plastic materials with logarithmic hardening law.

Erscheint lt. Verlag 12.12.2000
Reihe/Serie Lecture Notes in Mathematics
Zusatzinfo VIII, 276 p.
Verlagsort Berlin
Sprache englisch
Gewicht 404 g
Themenwelt Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie Allgemeines / Lexika
Schlagworte 35Q • 49N15 • 49N60 • 74C • 74G40 • 74G65 • 76A05 • 76M30 • Boundary value problem • Functional Analysis • generalized Newtonian fluids • Partial differential equations • Plasticity • regularity of solutions • relexation and duality • Variational Problems
ISBN-10 3-540-41397-9 / 3540413979
ISBN-13 978-3-540-41397-4 / 9783540413974
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