Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids
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"Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids" by Martin Fuchs, Gregory Seregin is a mathematics book and learning resource focused on Dynamics. Best for teachers, students, and readers looking for stronger mathematical understanding.
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.
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"Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids" by Martin Fuchs, Gregory Seregin is a mathematics book and learning resource focused on Dynamics. Best for teachers, students, and readers looking for stronger mathematical understanding.
Topic: Dynamics
Author: Martin Fuchs, Gregory Seregin
Who this is for:
- Teachers and classroom instructors
- Students building subject mastery
- Readers looking for practical learning support
Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.
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.
| Author | Martin Fuchs, Gregory Seregin |
| Publisher | Springer Science & Business Media |
| Published | 2000-12-12 |
| ISBN-13 | 9783540413974 |
| Binding | Paperback |
| Pages | 284 |
| Language | English |
| Subjects | Mathematics |
| Topic | Dynamics |
| Series | Lecture Notes in Mathematics |
Format: Paperback
Length: 284 pages
Language: English
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