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Open Access Green as soon as Postprint is submitted to ZB.
Long time behavior of a parabolic p-Laplacian equation coupled to a compartmental ODE system with an induction threshold phenomenon.
J. Differ. Equations 339, 602-636 (2022)
We study the existence and the longterm behavior of solutions of a parabolic equation governed by the p-Laplacian with nonlinear growth terms that are coupled with the solutions of a system of ordinary differential equations. The existence and the uniqueness are shown by using a fixed point argument and the longterm behavior of solutions is discussed by using energy estimates together with the nonlinear peculiarity of the p-Laplacian. Numerical simulations are carried out by using a Finite Volume Method for spatial treatment. For time integration of the p-Laplacian, an implicit Euler method is used, and direct integration for the ODE system.
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
Coupled Pde-ode System ; Long Time Behavior ; Numerical Simulation ; P-laplacian
ISSN (print) / ISBN
0022-0396
e-ISSN
1090-2732
Quellenangaben
Volume: 339,
Pages: 602-636
Publisher
Elsevier
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Computational Biology (ICB)
Grants
Ministry of Education, Culture, Sports, Science and Technology
natural sciences and engineering research council of canada
natural sciences and engineering research council of canada