On the parabolic-elliptic limit of the doubly parabolic Keller-Segel system modelling chemotaxis

Piotr Biler; Lorenzo Brandolese

The search session has expired. Please query the service again.

Displaying similar documents to “On the parabolic-elliptic limit of the doubly parabolic Keller-Segel system modelling chemotaxis”

Large time behavior in a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system

Yutaro Chiyo (2023)

Archivum Mathematicum

Similarity:

This paper deals with a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system. Boundedness, stabilization and blow-up in this system of the fully parabolic and parabolic-elliptic-elliptic versions have already been proved. The purpose of this paper is to derive boundedness and stabilization in the parabolic-parabolic-elliptic version.

Tables of the functions of the parabolic cylinder for negative integer parameters

J. Murzewski, A. Sowa (1972)

Applicationes Mathematicae

Similarity:

Global $L^{\infty}$ bounds for a class of quasilinear parabolic equations.

Horn, Werner (2002)

Southwest Journal of Pure and Applied Mathematics [electronic only]

Similarity:

On integro-differential equations of parabolic type

H. Ugowski (1971)

Annales Polonici Mathematici

Similarity:

Some theorems on the estimate and existence of solutions of integro-differential equations of parabolic type

H. Ugowski (1972)

Annales Polonici Mathematici

Similarity:

A note on the paper of Y. Naito

Piotr Biler (2006)

Banach Center Publications

Similarity:

This note contains some remarks on the paper of Y. Naito concerning the parabolic system of chemotaxis and published in this volume.

Evaluations of solutions of a second order parabolic equation

P. Besala (1963)

Colloquium Mathematicae

Similarity:

Parabolic sublinear operators with rough kernel generated by parabolic calderön-zygmund operators and parabolic local campanato space estimates for their commutators on the parabolic generalized local morrey spaces

Ferit Gurbuz (2016)

Open Mathematics

Similarity:

In this paper, the author introduces parabolic generalized local Morrey spaces and gets the boundedness of a large class of parabolic rough operators on them. The author also establishes the parabolic local Campanato space estimates for their commutators on parabolic generalized local Morrey spaces. As its special cases, the corresponding results of parabolic sublinear operators with rough kernel and their commutators can be deduced, respectively. At last, parabolic Marcinkiewicz operator...

Extension of a result of Ladyženskaja and Uralceva concerning second-order parabolic equations of arbitrary order

Wolf von Wahl (1983)

Annales Polonici Mathematici

Similarity:

On the existence of a fundamental solution for a parabolic differential equation with unbounded coefficients

P. Besala (1975)

Annales Polonici Mathematici

Similarity:

Global existence and long-time behavior of solutions to a class of degenerate parabolic equations

Cung The Anh, Phan Quoc Hung (2008)

Annales Polonici Mathematici

Similarity:

We study the global existence and long-time behavior of solutions for a class of semilinear degenerate parabolic equations in an arbitrary domain.

The parabolic-parabolic Keller-Segel equation

Kleber Carrapatoso (2014-2015)

Séminaire Laurent Schwartz — EDP et applications

Similarity:

I present in this note recent results on the uniqueness and stability for the parabolic-parabolic Keller-Segel equation on the plane, obtained in collaboration with S. Mischler in [11].

On the least principal fundamental solution of a parabolic differential equation

A. Wójcik (1980)

Annales Polonici Mathematici

Similarity:

Characterization of the solutions of a 2b-parabolic operator with initial data in BMO

A. Grimaldi, F. Ragnedda (1983)

Annales Polonici Mathematici

Similarity:

A Proof of Simultaneous Linearization with a Polylog Estimate

Tomoki Kawahira (2007)

Bulletin of the Polish Academy of Sciences. Mathematics

Similarity:

We give an alternative proof of simultaneous linearization recently shown by T. Ueda, which connects the Schröder equation and the Abel equation analytically. In fact, we generalize Ueda's original result so that we may apply it to the parabolic fixed points with multiple petals. As an application, we show a continuity result on linearizing coordinates in complex dynamics.

Representation theorems and Fatou theorems for parabolic systems in the sense of Petrovskiĭ

J. Chabrowski (1974)

Colloquium Mathematicae

Similarity:

On the backward parabolic equation: a critical survey of some current methods

Dang-Dinh Ang (1990)

Banach Center Publications

Similarity: