## Abstract In this paper we prove the existence of global decaying __H__^2^ solutions to the Cauchy problem for a wave equation with a nonlinear dissipative term by constructing a stable set in __H__^1^(ℝ^__n__^ ). (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
An Extension of the Governing Principle of Dissipative Processes to Nonlinear Constitutive Equations
✍ Scribed by Dr. J. Verhás
- Publisher
- John Wiley and Sons
- Year
- 1983
- Tongue
- English
- Weight
- 259 KB
- Volume
- 495
- Category
- Article
- ISSN
- 0003-3804
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✦ Synopsis
A generalisatipn of Onsager'e reciprocal relations has been proved by phenomenological methods. It is pointed out that Gyarmati's variational principle is valid in case of nonlinear constitutive equations, too. Eine Ausdehnung des Leit-Prinzips der dissipativen Vorgiinge auf nichtlineare Material-Cileichungen Inhaltsubersicht. Eine Verallgemeinerung der Onaagerschen Reziprozitiitsbeziehungen wurde durch phhnomenologieche Methoden bestiitigt. Es wurde gezeigt, daB das Gyamatische Variationsprinzip auch fur den Fall von nichtlinearen Material-Gleiuhungen giiltig ist.
📜 SIMILAR VOLUMES
Strong maximum and anti-maximum principles are extended to weak L 2 (R 2 )solutions u of the Schro dinger equation &2u+q(x) u&\*u= f (x) in L 2 (R 2 ) in the following form: Let . 1 denote the positive eigenfunction associated with the principal eigenvalue \* 1 of the Schro dinger operator A=&2+q(x)