Hopf bifurcation of reaction-diffusion and Navier-Stokes equations under discretization

DOI10.1007/s002110050384zbMath0924.65051OpenAlexW2086070178MaRDI QIDQ1279837

Christian Lubich, Alexander Ostermann

Publication date: 11 April 1999

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110050384

zbMATH Keywords

Navier-Stokes equationsHopf bifurcationssemilinear parabolic equationBanach spacesemidiscretizationreaction-diffusion equationRunge-Kutta time discretization

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Nonlinear differential equations in abstract spaces (34G20) Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solutions to equations with nonlinear operators (65J15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Bifurcations in context of PDEs (35B32) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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