About the kinetic description of fractional diffusion equations modeling chemotaxis

On multiscale models of pedestrian crowds from mesoscopic to macroscopic

(2015) Nicola Bellomo et al.   Communications in Mathematical Sciences

Existence and diffusive limit of a two-species kinetic model of chemotaxis

(2015) Casimir Emako et al.   Kinetic and Related Models

Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues

(2015) N. Bellomo et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

On the multiscale modeling of vehicular traffic: From kinetic to hydrodynamics

(2014) Nicola Bellomo et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

On a competitive system under chemotactic effects with non-local terms

(2013) Mihaela Negreanu et al.   NONLINEARITY

Hyperbolic versus Parabolic Asymptotics in Kinetic Theory toward Fluid Dynamic Models

(2013) Abdelghani Bellouquid et al.   SIAM JOURNAL ON APPLIED MATHEMATICS

On a chemotaxis model with saturated chemotactic flux

(2012) Alina Chertock et al.   Kinetic and Related Models

CONVERGENCE OF A CANCER INVASION MODEL TO A LOGISTIC CHEMOTAXIS MODEL

(2012) THOMAS HILLEN et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Fractional diffusion limit for collisional kinetic equations: A moments method

(2011) A. Mellet   INDIANA UNIVERSITY MATHEMATICS JOURNAL

Asymptotic-Preserving and Well-Balanced schemes for the 1D Cattaneo model of chemotaxis movement in both hyperbolic and diffusive regimes

(2011) Laurent Gosse   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Fractional diffusion limit for collisional kinetic equations: A Hilbert expansion approach

(2011) Marjolaine Puel et al.   Kinetic and Related Models

ANOMALOUS DIFFUSION LIMIT FOR KINETIC EQUATIONS WITH DEGENERATE COLLISION FREQUENCY

(2011) NAOUFEL BEN ABDALLAH et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

ON THE ASYMPTOTIC THEORY FROM MICROSCOPIC TO MACROSCOPIC GROWING TISSUE MODELS: AN OVERVIEW WITH PERSPECTIVES

(2011) N. BELLOMO et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Fractional Diffusion Limit for Collisional Kinetic Equations

(2010) Antoine Mellet et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

MULTISCALE BIOLOGICAL TISSUE MODELS AND FLUX-LIMITED CHEMOTAXIS FOR MULTICELLULAR GROWING SYSTEMS

(2010) NICOLA BELLOMO et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

The one-dimensional Keller–Segel model with fractional diffusion of cells

(2010) Nikolaos Bournaveas et al.   NONLINEARITY

A user’s guide to PDE models for chemotaxis

(2008) T. Hillen et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Two-dimensional chemotaxis models with fractional diffusion

(2008) Piotr Biler et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES