Spreading in kinetic reaction–transport equations in higher velocity dimensions
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Publication:5205825
DOI10.1017/S0956792518000037zbMath1433.35415arXiv1705.02191OpenAlexW2963504582MaRDI QIDQ5205825
Publication date: 16 December 2019
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.02191
Integro-partial differential equations (45K05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Cell movement (chemotaxis, etc.) (92C17) Traveling wave solutions (35C07) Hamilton-Jacobi equations (35F21)
Related Items (4)
A first-order asymptotic preserving scheme for front propagation in a one-dimensional kinetic reaction-transport equation ⋮ The reactive-telegraph equation and a related kinetic model ⋮ Large‐scale asymptotics of velocity‐jump processes and nonlocal Hamilton–Jacobi equations ⋮ Large deviations of a forced velocity-jump process with a Hamilton-Jacobi approach
Cites Work
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- A kinetic eikonal equation
- Large deviations of a velocity jump process with a Hamilton-Jacobi approach
- Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration
- A Hamilton-Jacobi approach for a model of population structured by space and trait
- A Hamilton-Jacobi approach for front propagation in kinetic equations
- Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result
- Asymmetric potentials and motor effect: a homogenization approach
- Wavefront propagation for reaction-diffusion systems of PDE
- Multidimensional nonlinear diffusion arising in population genetics
- Viscosity solutions of Hamilton-Jacobi equations
- Singular measure as principal eigenfunction of some nonlocal operators
- Propagation in a kinetic reaction-transport equation: travelling waves and accelerating fronts
- The dynamics of adaptation: An illuminating example and a Hamilton--Jacobi approach
- Spreading speeds for one-dimensional monostable reaction-diffusion equations
- Averaging and large deviation principles for fully-coupled piecewise deterministic Markov processes and applications to molecular motors
- Dirac Mass Dynamics in Multidimensional Nonlocal Parabolic Equations
- On the Hamiltonian structure of large deviations in stochastic hybrid systems
- Hyperbolic travelling fronts
- Large deviations and adiabatic transitions for dynamical systems and Markov processes in fully coupled averaging
- Exit Time Problems in Optimal Control and Vanishing Viscosity Method
- User’s guide to viscosity solutions of second order partial differential equations
- Traveling Waves of a Kinetic Transport Model for the KPP-Fisher Equation
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