Book
A Study of Boundary-Value Problems in Interfacial Fluid Dynamics
Dissertation Abstracts International, ProQuest Information and Learning
2011
Abstract
We study two problems arising in interfacial fluid dynamics; a Boussinesq approximation equation derived by Bona, Chen and Saut for small amplitude long water waves, and a vortex sheet problem with fluids of the same densities. These problems are studied along with Dirichlet, Neumann, and mixed boundary conditions. We study a general elliptic partial differential equations for which we show the existence of non-periodic and periodic solutions. The proof of existence of these solutions uses techniques from the work of Duchon and Robert which relies on a fixed point type of estimate. The result is applied to the Boussinesq equations for periodic problems and the vortex sheet for non-periodic problems.
Metrics
1 Record Views
Details
- Title
- A Study of Boundary-Value Problems in Interfacial Fluid Dynamics
- Creators
- Timur MilgromDavid M AmbroseDrexel University
- Series
- Dissertation Abstracts International
- Publisher
- ProQuest Information and Learning; Ann Arbor, Mich
- Number of pages
- 1 online resource (77 pages).
- Resource Type
- Book
- Language
- English
- Academic Unit
- Mathematics
- Identifiers
- 1124765689; 9781124765686; 991019295297504721