Weak Solutions of Initial-Boundary Value Problems for Class of Nonlinear Viscoelastic Equations
Document Type
Article
Publication Date
1-1-1987
Abstract
Existence and uniqueness theorems are established for initial-boundary value problems corresponding to the equation [formula ommited]= g under assumptions on P and a that include as special cases the isentropic gas law P(v) = v-γ with γ > 1 with α(v) = v-1 along with generalizations that allow for Non convex P. The smoothness assumptions made on P and a are much weaker then are usual in studying these problems and the initial data is only required to satisfy u(-,0)εW1∞ (0,1) and u t (*,0)εL2 (0,1). © 1987, Taylor & Francis Group, LLC. All rights reserved.
Publication Title
Applicable Analysis
Recommended Citation
Kuttler, K.,
&
Hicks, D.
(1987).
Weak Solutions of Initial-Boundary Value Problems for Class of Nonlinear Viscoelastic Equations.
Applicable Analysis,
26(1), 33-43.
http://doi.org/10.1080/00036818708839699
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/9069