Exact solutions of the simplified Keller-Segel model
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Publication:907152
DOI10.1016/J.CNSNS.2013.04.020zbMath1329.35167OpenAlexW1969356820MaRDI QIDQ907152
Maksym Didovych, Roman M. Cherniha
Publication date: 25 January 2016
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2013.04.020
Geometric theory, characteristics, transformations in context of PDEs (35A30) Second-order parabolic systems (35K40) Traveling wave solutions (35C07)
Related Items (6)
Weakness and Mittag-Leffler stability of solutions for time-fractional Keller-Segel models ⋮ A meshless technique based on the local radial basis functions collocation method for solving parabolic-parabolic Patlak-Keller-Segel chemotaxis model ⋮ Further study on the global existence and boundedness of the weak solution in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity ⋮ Symmetry reductions of a (2 + 1)‐dimensional Keller–Segel model ⋮ Conservation laws, symmetry reductions, and exact solutions of some Keller-Segel models ⋮ Efficient monolithic projection-based method for chemotaxis-driven bioconvection problems
Cites Work
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- A gradually slowing travelling band of chemotactic bacteria
- Initiation of slime mold aggregation viewed as an instability
- Traveling bands of chemotactic bacteria: a theoretical analysis
- Non-equilibrium phase transitions. Volume 2: Ageing and dynamical scaling far from equilibrium
- Traveling waves in a chemotactic model
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Travelling waves in a model of species migration
- Symmetry and integration methods for differential equations
- Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion
- A constructive approach to traveling waves in chemotaxis
- Lie symmetries and exact solutions of a class of thin film equations
- MATHEMATICAL MODELLING OF CANCER INVASION: THE IMPORTANCE OF CELL–CELL ADHESION AND CELL–MATRIX ADHESION
- Galilei-invariant nonlinear systems of evolution equations
- New non-Lie ansätze and exact solutions of nonlinear reaction-diffusion-convection equations
- Lie symmetries of nonlinear multidimensional reaction-diffusion systems: I
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