The monotonicity properties of the solutions of first-order elliptic systems and their applications to the equations of fluid and gas mechanics
โ Scribed by A.I. Rylov
- Book ID
- 107776441
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 592 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0021-8928
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, by the mountain pass theorem, we give an existence theorem of nontrivial solutions for a coupled system of second and fourth order elliptic equations.
## Abstract We study the existence of solutions of the general elliptic system of partial differential equations in the space where the principal part may be represented with the help of a CLIFFORDalgebra ๐. We construct an integral representation and discuss the properties of the kernels.
The standard wave-splitting approach for the wave equation in inhomogeneous media is first reexamined. Next, by analogy with the theory of wave propagation through singular surfaces, a characterization is given for a function in space-time to represent a wave propagating in a direction. The conditio