Existence of traveling profiles solutions to porous medium equation

• Autorzy: Arioua Yacine , Benhamidouche Nouredine

Identyfikatory

DOI

10.7862/rf.2023.6

• Języki publikacji: EN

Abstrakty

EN

In this paper, we shall study the existence and uniqueness of solutions called "traveling profiles solutions" to the porous medium equation in one dimension. By these solutions, we generalize the results obtained by Gilding and Peletier who proved the existence of self similar solutions of type I, II and III to the same equation. The principal idea of our work is to convert the porous media equation in to an equivalent nonlinear differential equation, and to prove the existence and uniqueness of these new solutions under certain conditions.

Słowa kluczowe

EN

porous medium equation; exact solution; traveling profile solutions

PL

równanie ośrodka porowatego; rozwiązanie dokładne

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2023
• Tom: Vol. 46
• Strony: 149--162
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Arioua Yacine

• Faculty of Mathematics and Computer science, Laboratory for Pure and Applied Mathematics, University of M’sila, Bp 166 M’sila, 28000, Algeria

• https://orcid.org/0000-0002-9681-9568

autor

Benhamidouche Nouredine

• Faculty of Mathematics and Computer science, Laboratory for Pure and Applied Mathematics, University of M’sila, Bp 166 M’sila, 28000, Algeria

• https://orcid.org/0000-0002-5740-8504

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).