Existence and Stability of Viscoelastic Shock Profiles
โ Scribed by Blake Barker; Marta Lewicka; Kevin Zumbrun
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 697 KB
- Volume
- 200
- Category
- Article
- ISSN
- 0003-9527
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, we study the existence and stability of the shock profiles of the Burgers' equation, ut + uux = uxx. We make use of Hopf-Cole transformations to show when such profiles exist, to prove that perturbations of the profiles decay exponentially quickly in an exponentially weighted norm, an
## Abstract In this paper the nonlinear viscoelastic wave equation in canonical form equation image with Dirichlet boundary condition is considered. By introducing a new functional and using the potential well method, we show that the damping induced by the viscoelastic term is enough to ensure g