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Blow-Up Phenomena for a Non-Newton Filtration Equation with Local Linear Boundary Dissipation

Author

Listed:
  • Xinru Zhou

    (School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan 411201, China)

  • Dengming Liu

    (School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan 411201, China)

Abstract

In this article, we consider the finite time blow-up phenomenon for a class of non-Newton filtration equations with local linear boundary dissipation. Using a modified concavity method, the sufficient condition for the finite time blow-up is given. Furthermore, we obtain the result of the blow-up solution with arbitrary high initial energy. Meanwhile, the upper and lower estimates of the blow-up time are discussed.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:13:p:2028-:d:1425606
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    References listed on IDEAS

    as
    1. 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.
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