On the Finite-Time Blow-Up of Solutions to a Triharmonic Reaction--Diffusion Equation in Variable Exponent Sobolev Spaces
DOI:
https://doi.org/10.2298/FIL2607509BKeywords:
Blow up, reaction diffusion equation., variable exponent, viscoelastic term.Abstract
In this work, we consider a triharmonic reaction diffusion equation with a viscoelastic term. Such problems arise in diverse fields: in mathematics, in physics, phase transition, in engineering and in biology. Our primary focus is on establish upper bounds for the blow-up of solutions.