We study in this paper the global existence and exponential decay of solutions of the non-linear unidimensional wave equation with a viscoelastic boundary condition. We prove that the dissipation induced by the memory e!ect is strong enough to secure global estimates, which allow us to show existenc
A non-linear and non-local boundary condition for a diffusion equation in petroleum engineering
โ Scribed by J. Giroire; T. Ha-Duong; V. Moumas
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 193 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.622
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๐ SIMILAR VOLUMES
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## Abstract This paper is concerned with the existence of solutions for the Kirchhoff plate equation with a memory condition at the boundary. We show the exponential decay to the solution, provided the relaxation function also decays exponentially. Copyright ยฉ 2005 John Wiley & Sons, Ltd.
## Abstract We consider the Dirichlet problem for a nonโlocal reactionโdiffusion equation with integral source term and local damping involving power nonโlinearities. It is known from previous work that for subcritical damping, the blowโup is global and the blowโup profile is uniform on all compact