The existence of a weak solution of a free boundary problem for the Navier-Stokes equations with measure data is shown. The problem may be considered as a model of the flow of blood around the heart valves. Feedback laws giving the forces acting on the valves from the observed flow in a fixed subreg
Solving the Navier-Stokes equations by Laplacians: An optimal control approach
β Scribed by Lisheng Hou; Hassan Manouzi
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 406 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0898-1221
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π SIMILAR VOLUMES
A new method of solving the Navier-Stokes equations e ciently by reducing their number of modes is proposed in the present paper. It is based on the Karhunen-LoΓ eve decomposition which is a technique of obtaining empirical eigenfunctions from the experimental or numerical data of a system. Employin
In this paper we study infinite-dimensional, second-order Hamilton-Jacobi-Bellman equations associated to the feedback synthesis of stochastic Navier-Stokes equations forced by space-time white noise. Uniqueness and existence of viscosity solutions are proven for these infinite-dimensional partial d