Existence of solutions for the Navier-Stokes equations, having an infinite dissipation of energy, in a class of domains with noncompact boundaries
β Scribed by K. I. Piletskas
- Publisher
- Springer US
- Year
- 1984
- Tongue
- English
- Weight
- 803 KB
- Volume
- 25
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
The barotropic compressible NavierαStokes equations in an unbounded domain Ε½ . Ε½ . are studied. We prove the unique existence of the solution u, p of the system 1.1 in the Sobolev space H kq 3 = H kq 2 provided that the derivatives of the data of the problem are sufficiently small, where k G 0 is an
## Abstract The existence of travelling wave solutions for the heat equation β~__t__~ __u__ βΞ__u__ = 0 in an infinite cylinder subject to the nonlinear Neumann boundary condition (β__u__ /β__n__) = __f__ (__u__) is investigated. We show existence of nontrivial solutions for a large class of nonlin