Global existence of strong solution to the chemotaxis-shallow water system with vacuum in a bounded domain
DOI10.1016/j.jde.2021.11.005zbMath1478.35181OpenAlexW3211523342MaRDI QIDQ2051755
Publication date: 25 November 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2021.11.005
PDEs in connection with fluid mechanics (35Q35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Strong solutions to PDEs (35D35)
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Cites Work
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- On the existence of local strong solutions to chemotaxis-shallow water system with large data and vacuum
- Suppression of chemotactic explosion by mixing
- Nondegeneracy of blow-up points for the parabolic Keller-Segel system
- A blow-up criterion of strong solutions to the 2D compressible Navier-Stokes equations
- A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations
- Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
- Initiation of slime mold aggregation viewed as an instability
- Model for chemotaxis
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- On \(BMO\) regularity for linear elliptic systems
- Global existence and large time behavior for a two-dimensional chemotaxis-shallow water system
- Suppression of blow up by mixing in generalized Keller-Segel system with fractional dissipation
- Global existence and large time behavior for the chemotaxis-shallow water system in a bounded domain
- Global existence and large time behavior for a two-dimensional chemotaxis-Navier-Stokes system
- The \(L^{p}\) decay estimates for the chemotaxis-shallow water system
- Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
- Distributions, Sobolev spaces, elliptic equations
- Blow-up in a chemotaxis model without symmetry assumptions
- Bacterial swimming and oxygen transport near contact lines
- A note on limiting cases of sobolev embeddings and convolution inequalities
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
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