Invasive-invaded system of non-Lipschitz porous medium equations with advection
作者机构：Escuela Politecnica Superior Universidad Francisco de Vitoria Ctra.Pozuelo-Majadahonda Km 180028223Pozuelo de AlarconMadrid
出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)
年 卷 期：2021年第14卷第7期
页 面：299-327页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Nonlinearity reaction absorption coupled system diffusion porous media
摘 要：This work provides analytical results towards applications in the field of invasive-invaded systems modeled with nonlinear diffusion and with *** results focus on showing regularity,existence and uniqueness of weak solutions using the condition of a nonlinear slightly positive parabolic operator and the reaction-absorption monotone *** coupling in the reaction-absorption terms,that characterizes the species interaction,impedes the formulation of a global comparison principle that is shown to exist ***,this work provides analytical solutions obtained as selfsimilar minimal and maximal profiles.A propagating diffusive front is shown to exist until the invaded specie notes the existence of the *** the desertion of the invaded st arts,the diffusive front vanishes globally and the nonlinear diffusion concentrates only on the propagating tail which exhibits finite ***,the invaded specie is shown to exhibit an exponential decay along a characteristic *** exponential decay is not trivial in the nonlinear diffusion case and confirms that the invasive continues to feed on the invaded during the desertion.
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