Global well-posedness and stability of constant equilibria in parabolic–elliptic chemotaxis systems without gradient sensing
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Publication:4628634
DOI10.1088/1361-6544/aaf513zbMath1409.35104OpenAlexW2922014076MaRDI QIDQ4628634
Publication date: 14 March 2019
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6544/aaf513
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Cites Work
- Starvation driven diffusion as a survival strategy of biological organisms
- Global weak solutions in a chemotaxis system with large singular sensitivity
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Model for chemotaxis
- Global existence and boundedness in a parabolic-elliptic Keller-Segel system with general sensitivity
- Large amplitude stationary solutions to a chemotaxis system
- On the Lyapunov-stability of stationary solutions of semilinear parabolic differential equations
- Existence of multipeak solutions for a semilinear Neumann problem via nonsmooth critical point theory
- Global existence and aggregation in a Keller-Segel model with Fokker-Planck diffusion
- A generalized solution concept for the Keller-Segel system with logarithmic sensitivity: global solvability for large nonradial data
- Stabilization in the logarithmic Keller-Segel system
- A new approach toward boundedness in a two-dimensional parabolic chemotaxis system with singular sensitivity
- Global existence and boundedness of radial solutions to a two dimensional fully parabolic chemotaxis system with general sensitivity
- Global solutions in a fully parabolic chemotaxis system with singular sensitivity
- LPBounds of solutions of reaction-diffusion equations
- On the shape of least‐energy solutions to a semilinear Neumann problem
- On Multiple Mixed Interior and Boundary Peak Solutions for Some Singularly Perturbed Neumann Problems
- Effects of signal-dependent motilities in a Keller–Segel-type reaction–diffusion system
- Boundedness of solutions to parabolic-elliptic Keller-Segel systems with signal-dependent sensitivity
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- Unnamed Item
- Unnamed Item
- Unnamed Item
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