2024 : 11 : 12
Morteza Koozehgar Kalleji

Morteza Koozehgar Kalleji

Academic rank: Assistant Professor
ORCID: https://orcid.org/0000-0002-7052-7241
Education: PhD.
ScopusId: 55803631900
HIndex:
Faculty: Science
Address: Arak University
Phone:

Research

Title
Finite-time property of a mechanical viscoelastic system with nonlinear boundary conditions on corner-Sobolev spaces
Type
JournalPaper
Keywords
higher-order hyperbolic viscoelastic equations, singular potential wells of higher-order hyperbolic, corner Sobolev space, singularities, blow up
Year
2024
Journal Hacettepe Journal of Mathematics and Statistics
DOI
Researchers Morteza Koozehgar Kalleji

Abstract

In this article, we deal with the initial boundary value problem for a viscoelastic system related to the quasilinear parabolic equation with nonlinear boundary source term on a manifold M with corner singularities. We prove that, under certain conditions on relaxation function g, any solution u in the corner-Sobolev space H 1,( N−1 2 , N 2 ) ∂ 0M (M) blows up in finite time. The estimates of the life-span of solutions are also given