Research Catalog

Title

Evolution equations in thermoelasticity / Song Jiang, Reinhard Racke.

Publication

Boca Raton, Fla. : Chapman & Hall/CRC, [2000], ©2000.

Items in the Library & Off-site

Holdings

Details

Additional Authors

• Jiang, Song, 1963-
• Racke, Reinhard.

Description

x, 308 pages : illustrations; 24 cm.

Series Statement

Chapman & Hall/CRC monographs and surveys in pure and applied mathematics ; 112

Uniform Title

Chapman & Hall/CRC monographs and surveys in pure and applied mathematics ; 112.

Subjects

• Evolution equations
• Thermoelasticity

Bibliography (note)

• Includes bibliographical references (p. 291-304) and index.

Contents

• 1. Derivation of the equations -- 2. Well-posedness of the linearized system and general asymptotics. 2.1. Linear well-posedness. 2.2. First results on the time-asymptotic behavior -- 3. Asymptotic behavior for linearized one-dimensional models. 3.1. Large time behavior. 3.2. Propagation of singularities -- 4. Asymptotic behavior for linearized multi-dimensional models. 4.1. Large-time behavior. 4.2. Propagation of singularities -- 5. Local existence. 5.1. Initial boundary value problems. 5.2. The Cauchy problem -- 6. Nonlinear one-dimensional thermoelasticity. 6.1. Bounded domains. 6.2. The Cauchy problem. 6.3. The semi-axis. 6.4. Stationary forces. 6.5. Blow-up of smooth solutions for large data. 6.6. Weak solutions -- 7. Nonlinear multi-dimensional thermoelasticity. 7.1. Bounded domains. 7.2. The Cauchy problem. 7.3. Blow-up -- 8. Contact problems. 8.1. Fully dynamical contact problems. 8.2. Quasi-static contact problems -- 9. Related results.
• 9.1. Exponential decay in the case of damping. 9.2. Asymptotic behavior of solutions as [actual symbol not reproducible]. 9.3. Numerical analysis. App. A. Existence theory for linear equations -- App. B. Regularity for linear elliptic systems and inequalities.

ISBN

1584882158

LCCN

00031559

OCLC

• ocm44083985
• SCSB-3885909

Owning Institutions

Columbia University Libraries