On a class of nonlinear heat equations with viscoelastic term

Author:

Truong Le XuanORCID,Y Nguyen Van

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modeling and Simulation

Reference24 articles.

1. Blow-up of solutions of a semilinear heat equation with a visco-elastic term;Messaoudi;Progr. Nonlinear Differential Equations Appl.,2005

2. Mathematics in Industrial Problems;Friedman,1992

3. Exponential growth of positive initial-energy solutions of nonlinear viscoelastic wave equations with damping and source term;Said-Houari;Z. Angew. Math. Phys.,2011

4. Nonlinear Volterra Equations for Heat Flow in Materials with Memory;Nohel,1981

5. Blow-up vs. global existence for quasilinear parabolic systems with a nonlinear boundary condition;Acsta;Z. Angew. Math. Phys.,1997

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1. A nonlinear heat equation arising from automated-vehicle traffic flow models;Journal of Computational and Applied Mathematics;2024-02

2. Blow up and growth of solutions to a viscoelastic parabolic type Kirchhoff equation;Filomat;2023

3. Exponential growth of solution for a couple of semi-linear pseudo-parabolic equations with memory and source terms;Journal of Innovative Applied Mathematics and Computational Sciences;2022-05-18

4. On a viscoelastic heat equation with logarithmic nonlinearity;Electronic Journal of Qualitative Theory of Differential Equations;2022

5. Fractional viscoelastic equation of Kirchhoff type with logarithmic nonlinearity;Journal of Nonlinear Functional Analysis;2021

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