Blow-up Phenomena for some nonlinear pseudo-parabolic equation

Abstract

The main objective of this thesis is an analytical study of the blow-up of solutions for certain pseudo-parabolic equations. In the first study, we focused on equations with source and damping terms with fixed exponents. To prove the blow-up, we used the method of differential inequalities. In the second study, we highlighted pseudo-parabolic equations with variable exponents. By also using differential inequalities, we obtained the blow-up of the solution. Finally, we study the blow-up of solutions for pseudo-parabolic equations with variable exponents in the presence of a matrix with variable coefficients.