Global existence and optimal decay rate of solutions to hyperbolic chemotaxis system in Besov spaces
From MaRDI portal
Publication:2056179
DOI10.3934/dcdsb.2021002zbMath1478.92032OpenAlexW3114222138WikidataQ115483662 ScholiaQ115483662MaRDI QIDQ2056179
Publication date: 1 December 2021
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2021002
Asymptotic behavior of solutions to PDEs (35B40) Cell movement (chemotaxis, etc.) (92C17) Initial value problems for second-order hyperbolic systems (35L52) Besov spaces and (Q_p)-spaces (30H25)
Cites Work
- Blow up criterion for a hyperbolic-parabolic system arising from chemotaxis
- Asymptotic nonlinear stability of traveling waves to conservation laws arising from chemotaxis
- Finite-time singularities of an aggregation equation in \(\mathbb R^n\) with fractional dissipation
- Optimal decay rate for strong solutions in critical spaces to the compressible Navier-Stokes equations
- Initiation of slime mold aggregation viewed as an instability
- Model for chemotaxis
- Asymptotic dynamics on a singular chemotaxis system modeling onset of tumor angiogenesis
- Global solutions to a hyperbolic-parabolic coupled system with large initial data
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Large global-in-time solutions to a nonlocal model of chemotaxis
- Global existence and asymptotic behavior of smooth solutions to a coupled hyperbolic-parabolic system
- Global well-posedness for a multidimensional chemotaxis model in critical Besov spaces
- Large-time behavior of a parabolic-parabolic chemotaxis model with logarithmic sensitivity in one dimension
- Initial-boundary value problems for a system of hyperbolic balance laws arising from chemotaxis
- Stability of traveling waves of the Keller–Segel system with logarithmic sensitivity
- Quantitative decay of a one-dimensional hybrid chemotaxis model with large data
- Nonlinear Stability of Traveling Waves to a Hyperbolic-Parabolic System Modeling Chemotaxis
- Fourier Analysis and Nonlinear Partial Differential Equations
- NONLINEAR STABILITY OF LARGE AMPLITUDE VISCOUS SHOCK WAVES OF A GENERALIZED HYPERBOLIC–PARABOLIC SYSTEM ARISING IN CHEMOTAXIS
- ON A HYPERBOLIC–PARABOLIC SYSTEM MODELING CHEMOTAXIS
- Global existence of solutions to a hyperbolic-parabolic system
- Mathematical Analysis of a Model for the Initiation of Angiogenesis
- Asymptotic and viscous stability of large-amplitude solutions of a hyperbolic system arising from biology
This page was built for publication: Global existence and optimal decay rate of solutions to hyperbolic chemotaxis system in Besov spaces