Work

Different aspects of blow-up property for a nonlinear wave equation

Year: 2024

Type: article

Abstract: In this work, we are concerned with a nonlinear wave equation with variable exponents. In the presence of the logarithmic nonlinear source, we established a global nonexistence result with negative initial data and without imposing the Sobolev Logarithmic Inequality. The blow-up time is established with upper bound and lower bound. In addition, under some conditions on the initial data and for a specific class of relaxation functions, we established an infinite time blow-up result.

Source: Partial Differential Equations in Applied Mathematics

DOI: 10.1016/j.padiff.2024.100879

Author: Mohammad Kafini

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,230

Funder: King Fahd University of Petroleum and Minerals

OpenAlex ID: W4401816949

FWCI:

Cites: 28

Cited by:

Related to: 10