位势井及其对具临界初始能量的非牛顿渗流方程的应用

Abstract

Abstract:

This paper is concerned with the initial boundary value problem of non-Newtonian filtration equations at critical initial energy level. We first construct a new potential well and its outside set, and prove their invariance. Furthermore, the global existence and finite time blow-up of solutions are obtained.

Key words: Non-Newtonian filtration equations, Global existence, Finite time blow-up, Potential well, Critical initial energy

CLC Number:

O175.29

Liu Yang. Potential Well and Application to Non-Newtonian Filtration Equations at Critical Initial Energy Level[J].Acta mathematica scientia,Series A, 2016, 36(6): 1211-1220.

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Potential Well and Application to Non-Newtonian Filtration Equations at Critical Initial Energy Level

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