Moving singularities of the forced Fisher-KPP equation: an asymptotic approach
DOI10.1137/23m1552905zbMATH Open1540.3511MaRDI QIDQ6540265
Markus Kaczvinszki, Stefan Braun
Publication date: 15 May 2024
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
nonlinear dynamicsasymptotic analysislaminar-turbulent transitionChebyshev spectral collocationsingularity tracking
Reaction-diffusion equations (35K57) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Asymptotic expansions of solutions to PDEs (35C20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Transition to turbulence (76F06) Blow-up in context of PDEs (35B44)
Cites Work
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- The problem of blow-up in nonlinear parabolic equations
- Necessary and sufficient conditions for complete blow-up and extinction for one-dimensional quasilinear heat equations
- The triple-deck stage of marginal separation
- Exact sharp-fronted travelling wave solutions of the Fisher-KPP equation
- Blow-up behaviour of one-dimensional semilinear parabolic equations
- The wave of advance of advantageous genes.
- Blow up in a periodic semilinear heat equation
- On asymptotic forms of reactive-diffusive runaway
- Asymptotic Theory of Separated Flows
- Spectral Methods in MATLAB
- On the effects of compressibility in marginally separated flows
- Unsteady three-dimensional marginal separation caused by surface-mounted obstacles and/or local suction
- Computing the Dynamics of Complex Singularities of Nonlinear PDEs
- Blow-up and control of marginally separated boundary layers
- A nonlinear instability burst in plane parallel flow
- Transition between extinction and blow-up in a generalized Fisher-KPP model
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