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  1. Nonlinear Differential Equations and Applications NoDEA
  2. Nonlinear Differential Equations and Applications NoDEA : Volume 20
  3. Nonlinear Differential Equations and Applications NoDEA : Volume 20, Issue 1, February 2013
  4. Chemotaxis: from kinetic equations to aggregate dynamics
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Nonlinear Differential Equations and Applications NoDEA : Volume 23
Nonlinear Differential Equations and Applications NoDEA : Volume 22
Nonlinear Differential Equations and Applications NoDEA : Volume 21
Nonlinear Differential Equations and Applications NoDEA : Volume 20
Nonlinear Differential Equations and Applications NoDEA : Volume 20, Issue 6, December 2013
Nonlinear Differential Equations and Applications NoDEA : Volume 20, Issue 5, October 2013
Nonlinear Differential Equations and Applications NoDEA : Volume 20, Issue 4, August 2013
Nonlinear Differential Equations and Applications NoDEA : Volume 20, Issue 3, June 2013
Nonlinear Differential Equations and Applications NoDEA : Volume 20, Issue 2, April 2013
Nonlinear Differential Equations and Applications NoDEA : Volume 20, Issue 1, February 2013
Existence and multiplicity results for nonlinear critical Neumann problem on compact Riemannian manifolds
Global bifurcation for asymptotically linear Schrödinger equations
Nonlinear diffusion equations driven by the p(·)-Laplacian
Summability and existence results for quasilinear parabolic equations with Hardy potential term
Chemotaxis: from kinetic equations to aggregate dynamics
A homogenization approach for the motion of motor proteins
Nonlinear Differential Equations and Applications NoDEA : Volume 19
Nonlinear Differential Equations and Applications NoDEA : Volume 18
Nonlinear Differential Equations and Applications NoDEA : Volume 17
Nonlinear Differential Equations and Applications NoDEA : Volume 16
Nonlinear Differential Equations and Applications NoDEA : Volume 15
Nonlinear Differential Equations and Applications NoDEA : Volume 14
Nonlinear Differential Equations and Applications NoDEA : Volume 13
Nonlinear Differential Equations and Applications NoDEA : Volume 12
Nonlinear Differential Equations and Applications NoDEA : Volume 11
Nonlinear Differential Equations and Applications NoDEA : Volume 10
Nonlinear Differential Equations and Applications NoDEA : Volume 9
Nonlinear Differential Equations and Applications NoDEA : Volume 8
Nonlinear Differential Equations and Applications NoDEA : Volume 7
Nonlinear Differential Equations and Applications NoDEA : Volume 6
Nonlinear Differential Equations and Applications NoDEA : Volume 5
Nonlinear Differential Equations and Applications NoDEA : Volume 4

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Chemotaxis: from kinetic equations to aggregate dynamics

Content Provider SpringerLink
Author James, F. Vauchelet, N.
Copyright Year 2012
Abstract The hydrodynamic limit for a kinetic model of chemotaxis is investigated. The limit equation is a non local conservation law, for which finite time blow-up occurs, giving rise to measure-valued solutions and discontinuous velocities. An adaptation of the notion of duality solutions, introduced for linear equations with discontinuous coefficients, leads to an existence result. Uniqueness is obtained through a precise definition of the nonlinear flux as well as the complete dynamics of aggregates, i.e. combinations of Dirac masses. Finally a particle method is used to build an adapted numerical scheme.
Ending Page 127
Page Count 27
Starting Page 101
File Format PDF
ISSN 10219722
e-ISSN 14209004
Journal Nonlinear Differential Equations and Applications NoDEA
Issue Number 1
Volume Number 20
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2012-03-27
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Duality solutions PDEs in connection with biology and other natural sciences Weak solutions Non local conservation equations Analysis Measure-valued solutions Hydrodynamic limit Nonlinear first-order hyperbolic equations Chemotaxis Asymptotic behavior of solutions
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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