Global existence, singular solutions, and ill-posedness for the Muskat problem
β Scribed by Michael Siegel; Russel E. Caflisch; Sam Howison
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 278 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
By applying the properties of the unique classical solution to the singular boundary value problem on half line -p (s) = g(p(s)); p(s) ΒΏ 0; s β (0; β); p(0) = 0; limsββp (s) = b ΒΏ 0, and constructing the new comparison functions, they show the existence and the optimal global estimates of solutions
This paper presents two sufficmnt condIUons whmh guarantee the existence and umqueness of a positive solution for a class of singular boundary value problems
## 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