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math.AP2023
Existence and uniqueness of weak solutions to the Smoluchowski coagulation equation with source and sedimentation
Prasanta Kumar Barik, Asha K. Dond, Rakesh Kumar
This article is devoted to a generalized version of Smoluchowski's coagulation equation. This model describes the time evolution of a system of aggregating particles under the effe…
math.AP2021★ 1 cited
Global existence of solutions to Keller-Segel chemotaxis system with heterogeneous logistic source and nonlinear secretion
Gurusamy Arumugam, Asha K. Dond, André H. Erhardt
We study the following Keller-Segel chemotaxis system with logistic source and nonlinear secretion: \begin{align*} u_t=Δu- \nabla\cdot(u\nabla v)+κ(|x|)u-μ(|x|)u^p\quad\text{and}\q…