The solutions of the Poisson equation in regular and irregular shaped physical domains are obtained by the cubature method. The solutions of the three test problems involving regular shaped domains are compared with the analytical solutions and the control-volume, ยฎve-point ยฎnite dierence, Galerkin
Properties of solutions for the generalized Euler-Poisson equations
โ Scribed by N. Chynkulyak
- Publisher
- John Wiley and Sons
- Year
- 2002
- Weight
- 84 KB
- Volume
- 1
- Category
- Article
- ISSN
- 1617-7061
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๐ SIMILAR VOLUMES
Communicated by G. F. Roach Of concern are factored Euler-Poisson-Darboux equations of the type , H (d/dt#( /t)d/dt#A H )u(t)"0, where, for example, A H "!c H , being the Dirichlet Laplacian acting on ยธ( ), L1L, and 0(c (2(c , . More generally !A H can be the square of the generator of a (C ) group
The three-dimensional motion of an incompressible inviscid fluid is classically described by the Euler equations but can also be seen, following Arnold [1], as a geodesic on a group of volume-preserving maps. Local existence and uniqueness of minimal geodesics have been established by Ebin and Marsd
The generalized Bloch equations in the rotating frame are solved in Cartesian space by an approach that is different from the earlier Torrey solutions. The solutions are cast into a compact and convenient matrix notation, which paves the way for a direct physical insight and comprehension of the evo
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
In this note we prove that the Poisson kernel given in [5] satis"es the basic properties of the usual Poisson kernel. We further obtain solutions of the associated Dirichlet problem with C(SL\)-boundary value functions for the degenerate elliptic equation extending the work in [4}6].