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- catalog abstract "This book contributes to the mathematical theory of systems of differential equations consisting of the partial differential equations resulting from conservation of mass and momentum, and of constitutive equations with internal variables. The investigations are guided by the objective of proving existence and uniqueness, and are based on the idea of transforming the internal variables and the constitutive equations. A larger number of constitutive equations from the engineering sciences are presented. The book is therefore suitable not only for specialists, but also for mathematicians seeking for an introduction in the field, and for engineers with a sound mathematical background.".
- catalog alternative "Initial-boundary value problems for constitutive equations with internal variables".
- catalog contributor b10780902.
- catalog created "c1998.".
- catalog date "1998".
- catalog date "c1998.".
- catalog dateCopyrighted "c1998.".
- catalog description "Includes bibliographical references (p. [153]-163) and index.".
- catalog description "Introduction -- Initial-Boundary Value Problems for the Inelastic Behavior of Metals -- Constitutive Equations of Monotone Type and Generalized Standard Materials -- Existence of Solutions for Constitutive Equations of Monotone Type -- Transformation of Interior Variables -- Classification Conditions -- Transformation of Rate Independent Constitutive Equations -- Application of the Theory to Engineering of Mo- dels -- Open Problems and Related Results -- The Second Law of Thermodynamics and the Dissipation Inequality -- Bibliography Index. (For detailed Contents, see Contents Internet).".
- catalog description "This book contributes to the mathematical theory of systems of differential equations consisting of the partial differential equations resulting from conservation of mass and momentum, and of constitutive equations with internal variables. The investigations are guided by the objective of proving existence and uniqueness, and are based on the idea of transforming the internal variables and the constitutive equations. A larger number of constitutive equations from the engineering sciences are presented. The book is therefore suitable not only for specialists, but also for mathematicians seeking for an introduction in the field, and for engineers with a sound mathematical background.".
- catalog extent "x, 166 p. :".
- catalog identifier "3540640665 (softcover : acid-free paper)".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1682.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1682".
- catalog issued "1998".
- catalog issued "c1998.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog subject "510 s 515/.353 21".
- catalog subject "Continuum mechanics.".
- catalog subject "Differential equations, partial.".
- catalog subject "Initial value problems.".
- catalog subject "Mathematics.".
- catalog subject "Mechanics, applied.".
- catalog subject "Mechanics.".
- catalog subject "QA3 .L28 no. 1682 QA808.2".
- catalog tableOfContents "Introduction -- Initial-Boundary Value Problems for the Inelastic Behavior of Metals -- Constitutive Equations of Monotone Type and Generalized Standard Materials -- Existence of Solutions for Constitutive Equations of Monotone Type -- Transformation of Interior Variables -- Classification Conditions -- Transformation of Rate Independent Constitutive Equations -- Application of the Theory to Engineering of Mo- dels -- Open Problems and Related Results -- The Second Law of Thermodynamics and the Dissipation Inequality -- Bibliography Index. (For detailed Contents, see Contents Internet).".
- catalog title "Initial-boundary value problems for constitutive equations with internal variables".
- catalog title "Materials with memory : initial-boundary value problems for constitutive equations with internal variables / Hans-Dieter Alber.".
- catalog type "text".