Multiple asymptotics of kinetic equations with internal states
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Publication:5127155
DOI10.1142/S0218202520400060zbMath1450.35034arXiv1907.11043MaRDI QIDQ5127155
Weiran Sun, Perthame, Benoît, Shugo Yasuda, Min Tang
Publication date: 21 October 2020
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.11043
Singular perturbations in context of PDEs (35B25) Cell movement (chemotaxis, etc.) (92C17) Boltzmann equations (35Q20) Fokker-Planck equations (35Q84) Transport equations (35Q49)
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Numerical study of the volcano effect in chemotactic aggregation based on a kinetic transport equation with non-instantaneous tumbling ⋮ Pattern Formation of a Pathway-Based Diffusion Model: Linear Stability Analysis and an Asymptotic Preserving Method ⋮ Modelling non-local cell-cell adhesion: a multiscale approach ⋮ Chemotaxis systems in complex frameworks: Pattern formation, qualitative analysis and blowup prevention ⋮ Individual based models exhibiting Lévy-flight type movement induced by intracellular noise ⋮ Numerical Scheme for Kinetic Transport Equation with Internal State ⋮ A Novel Derivation of Rigorous Macroscopic Limits from a Micro-Meso Description of Signal-Triggered Cell Migration in Fibrous Environments
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