Convergence to diffusion waves for solutions of 1D Keller–Segel model
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Publication:6182942
DOI10.1002/mma.8715arXiv2109.11317MaRDI QIDQ6182942
Changjiang Zhu, Fengling Liu, Nangao Zhang
Publication date: 22 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.11317
Asymptotic behavior of solutions to PDEs (35B40) Hyperbolic conservation laws (35L65) Radiative transfer in astronomy and astrophysics (85A25)
Cites Work
- Global existence for the Cauchy problem of the parabolic-parabolic Keller-Segel system on the plane
- Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces
- Large global-in-time solutions of the parabolic-parabolic Keller-Segel system on the plane
- Initiation of slime mold aggregation viewed as an instability
- The parabolic-parabolic Keller-Segel model in \(\mathbb R^2\)
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- Best asymptotic profile for linear damped \(p\)-system with boundary effect
- Asymptotic stability of combination of viscous contact wave with rarefaction waves for one-dimensional compressible Navier-Stokes system
- Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping
- Boundary effect on asymptotic behaviour of solutions to the \(p\)-system with linear damping
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Convergence rate for compressible Euler equations with damping and vacuum
- Optimal convergence rates to diffusion waves for solutions of the hyperbolic conservation laws with damping
- Convergence rates to nonlinear diffusion waves for solutions of system of hyperbolic conservation laws with damping
- Pointwise estimates and \(L_p\) convergence rates to diffusion waves for \(p\)-system with damping.
- \(L_p\)-convergence rate to nonlinear diffusion waves for \(p\)-system with damping
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Convergence to strong nonlinear diffusion waves for solutions to \(p\)-system with damping on quadrant
- Critical space for the parabolic-parabolic Keller--Segel model in \(\mathbb R^{d}\)
- Asymptotic behavior of the solutions to the damped compressible Euler equations with vacuum
- Large time behavior of bounded solutions to a parabolic system of chemotaxis in the whole space
- Best Asymptotic Profile for Hyperbolicp-System with Damping
- Convergence Rates to Nonlinear Diffusion Waves for Solutions to the System of Compressible Adiabatic Flow through Porous Media
- Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas
- Stationary Solutions of Chemotaxis Systems
- A class of similarity solutions of the nonlinear diffusion equation
- Global Behaviour of a Reaction-Diffusion System Modelling Chemotaxis
- Convergence to nonlinear diffusion waves for solutions of the initial boundary problem to the hyperbolic conservation laws with damping
- Decay Properties and Asymptotic Profiles of Bounded Solutions to a Parabolic System of Chemotaxis in Rn
- Similarity solutions of the nonlinear diffusion equation
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