Control of Navier–Stokes equations by means of mode reduction
✍ Scribed by H. M. Park; M. W. Lee
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 484 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0271-2091
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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
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-Lo eve decomposition which is a technique of obtaining empirical eigenfunctions from the experimental or numerical data of a system. Employin