Global existence and exponential stability for the strong solutions in \(H^{2}\) to the 3-D chemotaxis model
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Publication:284131
DOI10.1186/s13661-015-0375-8zbMath1381.35196OpenAlexW1820903454WikidataQ59434804 ScholiaQ59434804MaRDI QIDQ284131
Publication date: 17 May 2016
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-015-0375-8
Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Strong solutions to PDEs (35D35) Initial-boundary value problems for mixed-type systems of PDEs (35M33)
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Boundedness and homogeneous asymptotics for a fractional logistic Keller-Segel equations, Global solutions for a hyperbolic-parabolic system of chemotaxis
Cites Work
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- Global existence and optimal \(L^2\) decay rate for the strong solutions to the compressible fluid models of Korteweg type
- Analysis of multiscale finite element method for the stationary Navier-Stokes equations
- Global existence for the non-isentropic compressible Navier-Stokes-Poisson system in three and higher dimensions
- Asymptotic stability of strong rarefaction waves for the compressible fluid models of Korteweg type
- Traveling wave solutions from microscopic to macroscopic chemotaxis models
- Asymptotic nonlinear stability of traveling waves to conservation laws arising from chemotaxis
- Stabilization of some coupled hyperbolic/parabolic equations
- Global existence and asymptotic behavior of the solutions to the three-dimensional bipolar Euler-Poisson systems
- Global existence and optimal decay rate of the compressible Navier-Stokes-Korteweg equations with external force
- A model of herd grazing as a travelling wave, chemotaxis and stability
- Traveling bands of chemotactic bacteria: a theoretical analysis
- Global solutions of some chemotaxis and angiogenesis system in high space dimension
- Global solutions to a hyperbolic-parabolic coupled system with large initial data
- A combination of energy method and spectral analysis for study of equations of gas motion
- Traveling waves in a chemotactic model
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- The solvability of some chemotaxis systems
- Global existence and convergence rates for the strong solutions in \(H^2\) to the 3D chemotaxis model
- Remarks on the Euler equation
- A chemotaxis model motivated by angiogenesis
- A constructive approach to traveling waves in chemotaxis
- Global existence and asymptotic behavior of smooth solutions to a coupled hyperbolic-parabolic system
- Convergence rates of zero diffusion limit on large amplitude solution to a conservation laws arising in chemotaxis
- Non-Gaussian test models for prediction and state estimation with model errors
- Global existence and optimal convergence rates for the strong solutions in \(H^2\) to the 3D viscous liquid-gas two-phase flow model
- Optimal \(L^{p}\) - \(L^{q}\) convergence rates for the compressible Navier-Stokes equations with potential force
- Optimal decay estimates on the linearized Boltzmann equation with time dependent force and their applications
- Boundedness vs. blow-up in a chemotaxis system
- Global analysis of smooth solutions to a hyperbolic-parabolic coupled system
- On Existence of Global Solutions and Blow-Up to a System of Reaction-Diffusion Equations Modelling Chemotaxis
- Global Dynamics of a Hyperbolic-Parabolic Model Arising from Chemotaxis
- Nonlinear Stability of Traveling Waves to a Hyperbolic-Parabolic System Modeling Chemotaxis
- ON A HYPERBOLIC–PARABOLIC SYSTEM MODELING CHEMOTAXIS
- Global existence of solutions to a hyperbolic-parabolic system
- Global existence and convergence rates for the 3-D compressible Navier-Stokes equations without heat conductivity
- A System of Reaction Diffusion Equations Arising in the Theory of Reinforced Random Walks
- Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks
- Global Solutions to the Coupled Chemotaxis-Fluid Equations
- OPTIMAL CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH POTENTIAL FORCES
