Nonuniqueness of the solutions of certain boundary problems for the equations of hydromechanics
β Scribed by K.K. Golovkin
- Publisher
- Elsevier Science
- Year
- 1964
- Weight
- 242 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0041-5553
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Weak solution of the Euler equations is defined as an L 2 -vector field satisfying the integral relations expressing the mass and momentum balance. Their general nature has been quite unclear. In this work an example of a weak solution on a 2-dimensional torus is constructed that is identically zero
We investigate uniqueness of nonnegative solutions to parabolic equations in cylinders of R n+1 with zero Dirichlet boundary condition, where bases of cylinders are unbounded domains. We give necessary andΓor sufficient conditions for the uniqueness in terms of geometric properties of the bases.