Global Asymptotic Stability of a Forced Newtonian System with Dissipation
β Scribed by J.M. Alonso; R. Ortega
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 692 KB
- Volume
- 196
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
## Abstract We investigate the asymptotic profile to the Cauchy problem for a nonβlinear dissipative evolution system with conservational form provided that the initial data are small, where constants Ξ±, Ξ½ are positive satisfying Ξ½^2^<4Ξ±(1 β Ξ±), Ξ±<1. In (__J. Phys. A__ 2005; **38**:10955β10969),
We study on the initial-boundary value problem for some degenerate non-linear wave equations of Kirchhoff type with a strong dissipation: When the initial energy associated with the equations is non-negative and small, a unique (weak) solution exists globally in time and has some decay properties.