Journal article
Temporal boundary value problems in interfacial fluid dynamics
Applicable analysis, v 92(5), pp 922-948
01 May 2013
Abstract
We study problems in interfacial fluid dynamics which do not have well-posed initial value problems. We prove existence of solutions for these problems by considering instead boundary value problems, where boundary data is specified at two different times. We develop a general framework, for problems on the real line and for problems which are spatially periodic. A variety of boundary conditions are considered, including Dirichlet, Neumann and mixed conditions. The framework is applied to two specific problems from interfacial fluid dynamics: a family of generalizations of the Boussinesq equations developed by Bona, Chen and Saut, and the vortex sheet.
Metrics
Details
- Title
- Temporal boundary value problems in interfacial fluid dynamics
- Creators
- Timur Milgrom - Department of Mathematics , Drexel UniversityDavid M Ambrose - Department of Mathematics , Drexel University
- Publication Details
- Applicable analysis, v 92(5), pp 922-948
- Publisher
- Taylor & Francis Group
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000315584900003
- Scopus ID
- 2-s2.0-84874631547
- Other Identifier
- 991014877814304721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Mathematics, Applied