Analysis of a multiphase free boundary problem

• Autorzy: Abdelouahab Ahlem , Bensid Sabri

Identyfikatory

DOI

10.7494/OpMath.2024.44.5.631

• Języki publikacji: EN

Abstrakty

EN

In this paper, we investigate a free boundary problem relevant in several applications, such as tumor growth models. Our problem is expressed as an elliptic equation involving discontinuous nonlinearities in a specified domain with a moving boundary. We establish the existence and uniqueness of solutions and provide a qualitative analysis of the free boundaries generated by the nonlinear term (inner boundaries). Furthermore, we analyze the dynamics of the outer region boundary. The final result demonstrates that under certain conditions, our problem is solvable in the neighborhood of a radial solution.

Słowa kluczowe

EN

discontinuous nonlinearity; free boundary; perturbation; tumor growth

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2024
• Tom: Vol. 44, no. 5
• Strony: 631--649
• Opis fizyczny: Bibliogr. 27 poz., wykr.

Twórcy

autor

Abdelouahab Ahlem

• University of Tlemcen, Faculty of Sciences, Department of Mathematics, Dynamical Systems and Applications Laboratory, B.P. 119, Tlemcen 13000, Algeria

autor

Bensid Sabri

• University of Tlemcen, Faculty of Sciences, Department of Mathematics, Dynamical Systems and Applications Laboratory, B.P. 119, Tlemcen 13000, Algeria

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)