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Global Existence and Extinction Singularity for a Fast Diffusive Polytropic Filtration Equation with Variable Coefficient

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  • Dengming Liu
  • Changyu Liu

Abstract

In this article, we deal with an inhomogeneous fast diffusive polytropic filtration equation. By using the energy estimate approach, Hardy–Littlewood–Sobolev inequality, and a series of ordinary differential inequalities, we prove the global existence result and obtain the conditions on the occurrence of the extinction phenomenon of the weak solution.

Suggested Citation

  • Dengming Liu & Changyu Liu, 2021. "Global Existence and Extinction Singularity for a Fast Diffusive Polytropic Filtration Equation with Variable Coefficient," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-9, April.
    • Handle: RePEc:hin:jnlmpe:5577777
    DOI: 10.1155/2021/5577777
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    Cited by:

    1. Xinru Zhou & Dengming Liu, 2024. "Blow-Up Phenomena for a Non-Newton Filtration Equation with Local Linear Boundary Dissipation," Mathematics, MDPI, vol. 12(13), pages 1-14, June.

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