Local existence and uniqueness of solutions to approximate systems of 1D tumor invasion model

DOI10.1016/j.nonrwa.2010.01.003zbMath1204.35009OpenAlexW2082631109WikidataQ111492252 ScholiaQ111492252MaRDI QIDQ708512

Akio Ito, Zuzanna Szymańska, Maria Gokieli, Marek Niezgódka

Publication date: 14 October 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.01.003

zbMATH Keywords

haptotaxis-degenerate system

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (5)

From kinetic models of multicellular growing systems to macroscopic biological tissue models ⋮ Periodic solutions of angiogenesis models with time lags ⋮ About a generalized model of lymphoma ⋮ Mathematical and numerical analysis of an acid-mediated cancer invasion model with nonlinear diffusion ⋮ On the existence of weak solutions of nonlinear degenerate parabolic system with variable exponents

Cites Work

• Unnamed Item
• Global solutions of some chemotaxis and angiogenesis system in high space dimension
• From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
• Mathematical biology. Vol. 1: An introduction.
• Stability of solutions of chemotaxis equations in reinforced random walks
• A chemotaxis model motivated by angiogenesis
• Mathematical Analysis of a Model for the Initiation of Angiogenesis

This page was built for publication: Local existence and uniqueness of solutions to approximate systems of 1D tumor invasion model