Ahmad Makki , Rim Mheich , Madalina Petcu , Raafat Talhouk
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引用次数: 0
Abstract
In this article, we investigate the coupled Allen-Cahn/Cahn-Hilliard equations with a proliferation term, which can model the growth of cancerous tumors and other biological entities. We focus on establishing the existence, uniqueness, and regularity of solutions, as well as analyzing their asymptotic behavior, with particular attention to the existence of finite-dimensional attractors. The system is considered under Dirichlet boundary conditions, and we introduce assumptions on the proliferation term to ensure dissipativity.
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The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions.
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