Long time behavior of a parabolic \(p\)-Laplacian equation coupled to a compartmental ODE system with an induction threshold phenomenon
type: Item
instance of: scholarly article
title: Long time behavior of a parabolic \(p\)-Laplacian equation coupled to a compartmental ODE system with an induction threshold phenomenon
zbMATH Open document ID: 1500.35040
author: Mitsuharu Ôtani
author: Hermann J. Eberl
author: Messoud Efendiev
published in: Journal of Differential Equations
publication date: 2022-10-13T00:00:00Z
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K92
Mathematics Subject Classification ID: 37M05
zbMATH DE Number: 7601267
zbMATH Keywords: long time behavior
zbMATH Keywords: numerical simulation
zbMATH Keywords: \(p\)-Laplacian
zbMATH Keywords: coupled PDE-ODE system
MaRDI profile type: Publication
full work available at URL: j.jde.2022.08.018
OpenAlex ID: W4294992579
cites work: Dual variational methods in critical point theory and applications
cites work: On maximum and comparison principles for parabolic problems with the \(p\)-Laplacian
cites work: Q5665783
cites work: Q4765147
cites work: Coupling vs decoupling approaches for PDE/ODE systems modeling intercellular signaling
cites work: An introduction to Barenblatt solutions for anisotropic \(p\)-Laplace equations
cites work: Asymptotic Behavior of Solutions for Forest Kinematic Model
cites work: STATIONARY SOLUTIONS TO FOREST KINEMATIC MODEL
cites work: Quasilinear Elliptic Equations on Half- and Quarter-spaces
cites work: Q3803507
cites work: Degenerate parabolic equations
cites work: Asymptotic behavior of solutions of an ODE-PDE hybrid competition system
cites work: Infinite-dimensional attractors for evolution equations with \(p\)-Laplacian and their Kolmogorov entropy.
cites work: Infinite-dimensional attractors for parabolic equations with \(p\)-Laplacian in heterogeneous medium
cites work: Mathematical analysis of an \textit{in vivo} model of mitochondrial swelling
cites work: Mathematical Analysis of a PDE-ODE Coupled Model of Mitochondrial Swelling with Degenerate Calcium Ion Diffusion
cites work: On an ODE-PDE coupling model of the mitochondrial swelling process
cites work: Large time behavior of ODE type solutions to parabolic \(p\)-Laplacian type equations
cites work: Automated Adjoints of Coupled PDE-ODE Systems
cites work: Theoretical analysis for a PDE-ODE system related to a glioblastoma tumor with vasculature
cites work: A Glioblastoma PDE-ODE model including chemotaxis and vasculature
cites work: Q4844833
cites work: Fundamental solutions and asymptotic behaviour for the p-Laplacian equations
cites work: Inferring Filtration Laws from the Spreading of a Liquid Modelled by the Porous Medium Equation
cites work: Convergence to traveling waves of a singular PDE-ODE hybrid chemotaxis system in the half space
cites work: Transport modeling in hydrogeochemical systems
cites work: Travelling waves in a free boundary mechanobiological model of an epithelial tissue
cites work: Mathematical biology. Vol. 1: An introduction.
cites work: Nonmonotone perturbations for nonlinear parabolic equations associated with subdifferential operators, Cauchy problems
cites work: Nonmonotone perturbations for nonlinear parabolic equations associated with subdifferential operators, periodic problems
cites work: Existence and nonexistence of nontrivial solutions of some nonlinear degenerate elliptic equations
cites work: L ∞-Energy Method, Basic Tools and Usage
cites work: On the first eigenvalue of some quasilinear elliptic equations
cites work: An ecological model with the \(p\)-Laplacian and diffusion
cites work: Global solutions of reaction-diffusion systems
cites work: Q4314474
cites work: Global weak solutions in a PDE-ODE system modeling multiscale cancer cell invasion
cites work: On The Dirichletproblem for Quasilinear Equations
cites work: On harnack type inequalities and their application to quasilinear elliptic equations
cites work: Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality II
DOI: 10.1016/J.JDE.2022.08.018
description: scientific article; zbMATH DE number 7601267