Geodesic
Blow-up results for a Boussinesq-type plate equation with a logarithmic damping term and variable-exponent nonlinearities
Mohammad Shahrouzi1 ; Faramarz Tahamtani2 ; Jorge Ferreira3 ; Mirelson M. Freitas4
1 Department of Mathematics Jahrom University Jahrom, Iran and Department of Applied Mathematics Faculty of Mathematical Sciences Ferdowsi University of Mashhad Mashhad, Iran <a href="https://orcid.org/0000-0001-9308-0115">ORCID: 0000-0001-9308-0115</a>
2 Department of Mathematics College of Sciences Shiraz University Shiraz, Iran <a href="https://orcid.org/0000-0002-9739-7598">ORCID: 0000-0002-9739-7598</a>
3 Department of Exact Sciences Federal Fluminense University Volta Redonda, 27255-125, Brazil <a href="https://orcid.org/0000-0002-3209-7439">ORCID: 0000-0002-3209-7439</a>
4 Faculty of Mathematics Federal University of Para 68721-000, Salinópolis, PA, Brazil <a href="https://orcid.org/0000-0001-6942-3931">ORCID: 0000-0001-6942-3931</a>
Applicationes Mathematicae, Tome 50 (2023) no. 1, pp. 81-96.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We consider the initial boundary value problem for a Boussinesq-type equation with a logarithmic damping term and variable-exponent nonlinearities, which was introduced to describe some physical phenomena such as propagation of small amplitude and long waves on the surface of shallow water. The blow-up of solutions is proved for positive as well as negative initial energy.
DOI : 10.4064/am2470-6-2023
Keywords: consider initial boundary value problem boussinesq type equation logarithmic damping term variable exponent nonlinearities which introduced describe physical phenomena propagation small amplitude long waves surface shallow water blow up solutions proved positive negative initial energy

Mohammad Shahrouzi 1 ; Faramarz Tahamtani 2 ; Jorge Ferreira 3 ; Mirelson M. Freitas 4

1 Department of Mathematics Jahrom University Jahrom, Iran and Department of Applied Mathematics Faculty of Mathematical Sciences Ferdowsi University of Mashhad Mashhad, Iran <a href="https://orcid.org/0000-0001-9308-0115">ORCID: 0000-0001-9308-0115</a>
2 Department of Mathematics College of Sciences Shiraz University Shiraz, Iran <a href="https://orcid.org/0000-0002-9739-7598">ORCID: 0000-0002-9739-7598</a>
3 Department of Exact Sciences Federal Fluminense University Volta Redonda, 27255-125, Brazil <a href="https://orcid.org/0000-0002-3209-7439">ORCID: 0000-0002-3209-7439</a>
4 Faculty of Mathematics Federal University of Para 68721-000, Salinópolis, PA, Brazil <a href="https://orcid.org/0000-0001-6942-3931">ORCID: 0000-0001-6942-3931</a> 
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Mohammad Shahrouzi; Faramarz Tahamtani; Jorge Ferreira; Mirelson M. Freitas. Blow-up results for a Boussinesq-type plate equation with a logarithmic damping term and variable-exponent nonlinearities. Applicationes Mathematicae, Tome 50 (2023) no. 1, pp. 81-96. doi : 10.4064/am2470-6-2023. http://geodesic.mathdoc.fr/articles/10.4064/am2470-6-2023/

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