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- Max Planck Institute for the Science of LightDE12 papers
- Beijing Institute of TechnologyCN11 papers
- Leipzig UniversityDE9 papers
- TU Dortmund UniversityDE8 papers
- Institute of PhysicsPL7 papers
- Ioffe InstituteRU6 papers
- Ruhr University BochumDE6 papers
- Technical University of MunichDE6 papers
- Centre National de la Recherche ScientifiqueFR5 papers
- University of ArizonaUS5 papers
- Australian National UniversityAU4 papers
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4 papers · 2 filters
Stationary solutions to a chemotaxis-consumption model with realistic boundary conditions
Marcel Braukhoff, Johannes Lankeit
Previous studies of chemotaxis models with consumption of the chemoattractant (with or without fluid) have not been successful in explaining pattern formation even in the simplest…
Continuation beyond interior gradient blow-up in a semilinear parabolic equation
Marek Fila, Johannes Lankeit
It is known that there is a class of semilinear parabolic equations for which interior gradient blow-up (in finite time) occurs for some solutions. We construct a continuation of s…
Analysis of a one-dimensional forager-exploiter model
Youshan Tao, Michael Winkler
\begin{abstract} \noindent % We consider the one-dimensional parabolic system The system \bas \left\{ \begin{array}{l} u_t= u_{xx} - χ_1 (uw_x)_x, \\[1mm] v_t = v_{xx} - χ_2 (vu_x)…
Analysis of a chemotaxis model with indirect signal absorption
Mario Fuest
We consider the chemotaxis model \begin{align*} \begin{cases} u_t = Δu - \nabla \cdot (u \nabla v), \\ v_t = Δv - vw, \\ w_t = -δw + u \end{cases} \end{align*} in smooth, bounded d…