Long time behavior of a parabolic \(p\)-Laplacian equation coupled to a compartmental ODE system with an induction threshold phenomenon
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Publication:2084765
DOI10.1016/j.jde.2022.08.018zbMath1500.35040OpenAlexW4294992579MaRDI QIDQ2084765
Hermann J. Eberl, Mitsuharu Ôtani, Messoud A. Efendiev
Publication date: 13 October 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2022.08.018
Asymptotic behavior of solutions to PDEs (35B40) Simulation of dynamical systems (37M05) Quasilinear parabolic equations with (p)-Laplacian (35K92)
Cites Work
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- Mathematical analysis of an \textit{in vivo} model of mitochondrial swelling
- Infinite-dimensional attractors for evolution equations with \(p\)-Laplacian and their Kolmogorov entropy.
- Degenerate parabolic equations
- Infinite-dimensional attractors for parabolic equations with \(p\)-Laplacian in heterogeneous medium
- Nonmonotone perturbations for nonlinear parabolic equations associated with subdifferential operators, periodic problems
- Global solutions of reaction-diffusion systems
- Fundamental solutions and asymptotic behaviour for the p-Laplacian equations
- Existence and nonexistence of nontrivial solutions of some nonlinear degenerate elliptic equations
- On the first eigenvalue of some quasilinear elliptic equations
- Nonmonotone perturbations for nonlinear parabolic equations associated with subdifferential operators, Cauchy problems
- Mathematical biology. Vol. 1: An introduction.
- Travelling waves in a free boundary mechanobiological model of an epithelial tissue
- Theoretical analysis for a PDE-ODE system related to a glioblastoma tumor with vasculature
- Asymptotic behavior of solutions of an ODE-PDE hybrid competition system
- On an ODE-PDE coupling model of the mitochondrial swelling process
- Dual variational methods in critical point theory and applications
- Convergence to traveling waves of a singular PDE-ODE hybrid chemotaxis system in the half space
- On maximum and comparison principles for parabolic problems with the \(p\)-Laplacian
- Coupling vs decoupling approaches for PDE/ODE systems modeling intercellular signaling
- Large time behavior of ODE type solutions to parabolic \(p\)-Laplacian type equations
- An introduction to Barenblatt solutions for anisotropic \(p\)-Laplace equations
- An ecological model with the p-Laplacian and diffusion
- Global Weak Solutions in a PDE-ODE System Modeling Multiscale Cancer Cell Invasion
- Asymptotic Behavior of Solutions for Forest Kinematic Model
- L ∞-Energy Method, Basic Tools and Usage
- On The Dirichletproblem for Quasilinear Equations
- Quasilinear Elliptic Equations on Half- and Quarter-spaces
- Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality II
- A Glioblastoma PDE-ODE model including chemotaxis and vasculature
- Mathematical Analysis of a PDE-ODE Coupled Model of Mitochondrial Swelling with Degenerate Calcium Ion Diffusion
- Automated Adjoints of Coupled PDE-ODE Systems
- Inferring Filtration Laws from the Spreading of a Liquid Modelled by the Porous Medium Equation
- STATIONARY SOLUTIONS TO FOREST KINEMATIC MODEL
- On harnack type inequalities and their application to quasilinear elliptic equations
- Transport modeling in hydrogeochemical systems