June 29, 2024Open Access

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

Key Points

Key points are not available for this paper at this time.

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.

Read Full Paperexternally

Bookmark

View Full Paper

Cite This Study

Zhou et al. (Sat,) studied this question.

synapsesocial.com/papers/68e62acbb6db6435875bd371 https://doi.org/https://doi.org/10.3390/math12132028

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Blow-up problems for a parabolic equation coupled with superlinear source and local linear boundary dissipation2022 · 6 citations
2ON THE ATTRACTOR FOR A SEMILINEAR WAVE EQUATION WITH CRITICAL EXPONENT AND NONLINEAR BOUNDARY DISSIPATION2002 · 251 citations
3Some nonexistence and instability theorems for solutions of formally parabolic equations of the form Put=−Au+ℱ(u)1973 · 577 citations
4Blow-up problems for the heat equation with a local nonlinear Neumann boundary condition2016 · 16 citations
52D memory-based mathematical analysis for the combined impact of calcium influx and efflux on nerve cells2023 · 37 citations

Bookmark

View Full Paper