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The BV solution of the parabolic equation with degeneracy on the boundary

100%

Zhan H., Chen S.

Open Mathematics

2016

tom 14

nr 1

272-282

Consider a parabolic equation which is degenerate on the boundary. By the degeneracy, to assure the well-posedness of the solutions, only a partial boundary condition is generally necessary. When 1 ≤ α < p – 1, the existence of the local BV solution is proved. By choosing some kinds of test functions, the stability of the solutions based on a partial boundary condition is established.

The nonlinear diffusion equation of the ideal barotropic gas through a porous medium

100%

Zhan H.

Open Mathematics

2017

tom 15

nr 1

895-906

The nonlinear diffusion equation of the ideal barotropic gas through a porous medium is considered. If the diffusion coefficient is degenerate on the boundary, then the solutions may be controlled by the initial value completely, the well-posedness of the solutions may be obtained without any boundary condition.

Ograniczanie wyników

2 Open Mathematics

2 Zhan H.

1 Chen S.

1 2017

1 2016

Wyniki wyszukiwania

The BV solution of the parabolic equation with degeneracy on the boundary

The nonlinear diffusion equation of the ideal barotropic gas through a porous medium