Global solutions and large time behavior for the chemotaxis-shallow water system
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Publication:828295
DOI10.1016/j.jde.2020.11.033zbMath1456.35170OpenAlexW3107544602MaRDI QIDQ828295
Publication date: 8 January 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2020.11.033
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Incompressible viscous fluids (76D99) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17)
Related Items (2)
New traveling wave solutions and interesting bifurcation phenomena of generalized KdV-mKdV-like equation ⋮ Optimal decay of critical derivative for a two-dimensional chemotaxis-shallow water system
Cites Work
- Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system
- On the existence of local strong solutions to chemotaxis-shallow water system with large data and vacuum
- Parabolic elliptic type Keller-Segel system on the whole space case
- Global solutions to the chemotaxis-Navier-Stokes equations with some large initial data
- Well-posedness in critical spaces for the compressible Navier-Stokes equations with density dependent viscosities
- On the dynamics of Navier-Stokes equations for a shallow water model
- Global existence for the Cauchy problem for the viscous shallow water equations
- Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model
- Global existence and large time behavior for a two-dimensional chemotaxis-shallow water system
- A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization
- Global classical solvability and generic infinite-time blow-up in quasilinear Keller-Segel systems with bounded sensitivities
- Blow-up profiles for the parabolic-elliptic Keller-Segel system in dimensions ${n\geq 3}$
- Global existence for the Dirichlet problem for the viscous shallow water equations
- Global wellposedness and large time behavior of solutions to the \(N\)-dimensional compressible Oldroyd-B model
- On global large energy solutions to the viscous shallow water equations
- Optimal decay for the compressible Navier-Stokes equations without additional smallness assumptions
- The fast signal diffusion limit in Keller-Segel(-fluid) systems
- Global existence and large time behavior for a two-dimensional chemotaxis-Navier-Stokes system
- Compressible Navier-Stokes system: large solutions and incompressible limit
- The \(L^{p}\) decay estimates for the chemotaxis-shallow water system
- Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
- The Cauchy problem for viscous shallow water equations
- Bacterial swimming and oxygen transport near contact lines
- Local Existence of Classical Solutions to Shallow Water Equations with Cauchy Data Containing Vacuum
- Global Existence and Temporal Decay in Keller-Segel Models Coupled to Fluid Equations
- How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?
- Fourier Analysis and Nonlinear Partial Differential Equations
- COUPLED CHEMOTAXIS FLUID MODEL
- On the Well-Posedness for the Viscous Shallow Water Equations
- Global Existence of Classical Solutions in the Dissipative Shallow Water Equations
- Existence and Uniqueness of a Classical Solution of an Initial-Boundary Value Problem of the Theory of Shallow Waters
- Point Dynamics in a Singular Limit of the Keller--Segel Model 1: Motion of the Concentration Regions
- Decay of Dissipative Equations and Negative Sobolev Spaces
- Global Solutions to the Coupled Chemotaxis-Fluid Equations
- Recent Mathematical Results and Open Problems about Shallow Water Equations
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
- Well-Posedness in Critical Spaces for Barotropic Viscous Fluids with Truly Not Constant Density
- Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity
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