On a hyperbolic Keller-Segel system with degenerate nonlinear fractional diffusion

Kenneth H. Karlsen, Süleyman Ulusoy

Type: Article

Publication Date: 2016-01-01

Citations: 6

DOI: https://doi.org/10.3934/nhm.2016.11.181

View Publication

Locations

Networks and Heterogeneous Media - View

Similar Works

Action	Title	Year	Authors
+	Solvability of the Fractional Hyperbolic Keller-Segel System	2022	Gerardo Huaroto Wladimir Neves
+ PDF Chat	Solvability of the fractional hyperbolic Keller–Segel system	2023	Gerardo Huaroto Wladimir Neves
+ PDF Chat	Generalized Doubly Parabolic Keller-Segel System with Fractional Diffusion	2025	Anne C. Bronzi Cid Marcos Gonçalves Andrade
+	Existence of solutions of the hyperbolic Keller-Segel model	2006	Benoı̂t Perthame Anne-Laure Dalibard
+ PDF Chat	The fractional Keller–Segel model	2006	Carlos Escudero
+	On the fractional doubly parabolic Keller-Segel system modelling chemotaxis	2021	Mario Bezerra Claudio Cuevas Clessius Silva Herme Soto
+	Existence of solutions of the hyperbolic Keller-Segel model	2008	Benoı̂t Perthame Anne-Laure Dalibard
+ PDF Chat	Global entropy solutions to a degenerate parabolic–parabolic chemotaxis system for flux-limited dispersal	2024	Anna Zhigun
+	On Keller-Segel systems with fractional diffusion	2021	Rafael Granero Belinchón
+	Self-similar solutions to a flux-limited Keller–Segel system	2025	Shohei Kohatsu Takasi Senba
+	A study on the solvability of degenerate Keller-Segel systems	2013	祥子石田
+	On a parabolic-elliptic Keller–Segel system with nonlinear signal production and nonlocal growth term	2023	Pan Zheng
+	Hele-Shaw flow as a singular limit of a Keller-Segel system with nonlinear diffusion	2024	Antoine Mellet
+ PDF Chat	A one-dimensional Keller–Segel equation with a drift issued from the boundary	2010	Vincent Calvez Nicolas Meunier Raphaël Voituriez
+	Global entropy solutions to a degenerate parabolic-parabolic chemotaxis system for flux-limited dispersal	2024	Anna Zhigun
+ PDF Chat	Nonlinear diffusion in the Keller-Segel model of parabolic-parabolic type	2020	Xiangsheng Xu
+ PDF Chat	GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR A KELLER-SEGEL-FLUID MODEL WITH NONLINEAR DIFFUSION	2014	Yun-Sung Chung Kyungkeun Kang Jae-Woo Kim
+	On a system of degenerate diffusion equations	1986	M. Bertsch M. E. Gurtin D. Hilhorst L. A. Peletier
+	On a class of PDEs with degenerate diffusion and chemotaxis: Autonomous case	2013	Messoud Efendiev
+	Critical mass of degenerate Keller-Segel system with no-flux and Neumann boundary conditions	2016	Yoshifumi Mimura

Works That Cite This (6)

Action	Title	Year	Authors
+	Asymptotic analysis of a tumor growth model with fractional operators	2019	Pierluigi Colli Gianni Gilardi Jürgen Sprekels
+ PDF Chat	Solvability of the fractional hyperbolic Keller–Segel system	2023	Gerardo Huaroto Wladimir Neves
+ PDF Chat	A Distributed Control Problem for a Fractional Tumor Growth Model	2019	Pierluigi Colli Gianni Gilardi Jürgen Sprekels
+ PDF Chat	Kinetic Solutions for Nonlocal Scalar Conservation Laws	2018	Jinlong Wei Jinqiao Duan Guangying Lv
+ PDF Chat	Well-posedness for a class of phase-field systems modeling prostate cancer growth with fractional operators and general nonlinearities	2022	Pierluigi Colli Gianni Gilardi Jürgen Sprekels
+ PDF Chat	Asymptotic analysis of a tumor growth model with fractional operators	2019	Pierluigi Colli Gianni Gilardi Jürgen Sprekels

Works Cited by This (46)

Action	Title	Year	Authors
+	Compactness for nonlinear transport equations	2011	Fethi Ben Belgacem Pierre‐Emmanuel Jabin
+ PDF Chat	Application of the best constant of the Sobolev inequality to degenerate Keller-Segel models	2007	Yoshie Sugiyama
+	Stability of Entropy Solutions for Levy Mixed Hyperbolic-Parabolic Equations	2009	Kenneth H. Karlsen Süleyman Ulusoy
+	Partial Differential Equations	2010	Lawrence Evans
+	On an aggregation model with long and short range interactions	2006	Martin Burger Vincenzo Capasso Daniela Morale
+	Global and Exploding Solutions for Nonlocal Quadratic Evolution Problems	1998	Piotr Biler Wojbor A. Woyczyński
+ PDF Chat	A pointwise estimate for fractionary derivatives with applications to partial differential equations	2003	Antonio Córdoba Diego Córdoba
+ PDF Chat	Critical mass for a Patlak–Keller–Segel model with degenerate diffusion in higher dimensions	2008	Adrien Blanchet José A. Carrillo Philippe Laurençot
+	A Maximum Principle Applied to Quasi-Geostrophic Equations	2004	Antonio Cordóba Diego Córdoba
+	A user’s guide to PDE models for chemotaxis	2008	Thomas Hillen Kevin J. Painter