On the global existence of solutions to the Prandtl’s system. (English) Zbl 1052.35135
This paper is concerned with the global existence of weak solutions to the initial boundary value problem involving a two-dimensional Prandtl’s system, for unsteady boundary layer with initial data, and the pressure gradient satisfying certain conditions. The basic idea is using a viscous splitting method to solve the problem in several time steps and then iterate these processes.
Reviewer: V. D. Sharma (Mumbai)
MSC:
| 35L70 | Second-order nonlinear hyperbolic equations |
| 35L65 | Hyperbolic conservation laws |
| 76N15 | Gas dynamics (general theory) |
| 35L20 | Initial-boundary value problems for second-order hyperbolic equations |
References:
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