Boundary layer analysis from the Keller-Segel system to the aggregation system in one space dimension
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Publication:519550
DOI10.3934/cpaa.2017049zbMath1364.35379OpenAlexW2592926777WikidataQ60471911 ScholiaQ60471911MaRDI QIDQ519550
Jiahang Che, Anamika Pandey, Jing Wang, Li Chen, Simone Goettlich
Publication date: 5 April 2017
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2017049
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Asymptotic expansions of solutions to PDEs (35C20) Cell movement (chemotaxis, etc.) (92C17)
Related Items (1)
Cites Work
- A nonlocal continuum model for biological aggregation
- Dynamic and steady states for multi-dimensional Keller-Segel model with diffusion exponent \(m > 0\)
- Parabolic elliptic type Keller-Segel system on the whole space case
- The aggregation equation with power-law kernels: ill-posedness, mass concentration and similarity solutions
- Hydrodynamics in two dimensions and vortex theory
- Global existence in sub-critical cases and finite time blow-up in super-critical cases to degenerate Keller-Segel systems.
- Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations
- Global existence of weak solutions to quasilinear degenerate Keller-Segel systems of parabolic-parabolic type
- Global regular and singular solutions for a model of gravitating particles
- Stability of boundary layers for the inflow compressible Navier-Stokes equations
- Viscous boundary layers for the Navier-Stokes equations with the Navier slip conditions
- An integro-differential equation arising as a limit of individual cell-based models
- Initiation of slime mold aggregation viewed as an instability
- Model for chemotaxis
- The behavior of solutions of multidimensional aggregation equations with mildly singular interaction kernels
- Finite-time blow-up of \(L^\infty \)-weak solutions of an aggregation equation
- Characteristic boundary layers for parabolic perturbations of quasilinear hyperbolic problems
- A user's guide to PDE models for chemotaxis
- Finite time blow-up for radially symmetric solutions to a critical quasilinear Smoluchowski-Poisson system
- Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions
- Zero viscosity limit for analytic solutions, of the Navier-Stokes equation on a half-space. I: Existence for Euler and Prandtl equations
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- On the existence of radially symmetric blow-up solutions for the Keller-Segel model
- Optimal critical mass in the two dimensional Keller-Segel model in \(R^2\)
- Characteristic boundary layers in real vanishing viscosity limits
- From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
- Global existence and blowup of solutions to a chemotaxis system.
- Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates
- A note on the subcritical two dimensional Keller-Segel system
- Chemotaxis: from kinetic equations to aggregate dynamics
- Boundary layers for compressible Navier-Stokes equations with outflow boundary condition
- Application of the best constant of the Sobolev inequality to degenerate Keller-Segel models
- On the global existence of solutions to an aggregation model
- Exact criterion for global existence and blow up to a degenerate Keller-Segel system
- Finite-time blow-up of solutions of an aggregation equation in \(\mathbb R^n\)
- On an aggregation model with long and short range interactions
- Boundedness vs. blow-up in a chemotaxis system
- A quasi-linear parabolic system of chemotaxis
- Global existence and decay properties for a degenerate Keller-Segel model with a power factor in drift term
- One-dimensional kinetic models of granular flows
- Vorticity and Incompressible Flow
- Characterization of Radially Symmetric Finite Time Blowup in Multidimensional Aggregation Equations
- Multidimensional Degenerate Keller–Segel System with Critical Diffusion Exponent $2n/(n+2)$
- Random walk with persistence and external bias
- Local and global well-posedness for aggregation equations and Patlak–Keller–Segel models with degenerate diffusion
- Large time behavior of solutions in super-critical cases to degenerate Keller-Segel systems
- On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
- Zero-viscosity limit of the linearized Navier-Stokes equations for a compressible viscous fluid in the half-plane
- A kinetic equation for granular media
- Behavior of radially symmetric solutions of a system related to chemotaxis
- Concentrations in regularizations for 2‐D incompressible flow
- Stability of small amplitude boundary layers for mixed hyperbolic-parabolic systems
- Local and Global Existence for an Aggregation Equation
- Zero dissipation limit and stability of boundary layers for the heat conductive Boussinesq equations in a bounded domain
- Boundary layer stability in real vanishing viscosity limit
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