Back to Search
Start Over
Boundary Observability and Stabilization for Westervelt Type Wave Equations without Interior Damping.
- Source :
-
Applied Mathematics & Optimization . Nov2010, Vol. 62 Issue 3, p381-410. 30p. - Publication Year :
- 2010
-
Abstract
- In this paper we show boundary observability and boundary stabilizability by linear feedbacks for a class of nonlinear wave equations including the undamped Westervelt model used in nonlinear acoustics. We prove local existence for undamped generalized Westervelt equations with homogeneous Dirichlet boundary conditions as well as global existence and exponential decay with absorbing type boundary conditions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00954616
- Volume :
- 62
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 54097785
- Full Text :
- https://doi.org/10.1007/s00245-010-9108-7