Operator splitting for two-dimensional incompressible fluid equations

DOI10.1090/S0025-5718-2012-02626-3zbMath1322.76017arXiv1102.1094OpenAlexW1973830399MaRDI QIDQ4912000

Helge Holden, Trygve K. Karper, Kenneth Hvistendahl Karlsen

Publication date: 20 March 2013

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.1094

zbMATH Keywords

convergenceoperator splittingquasi-geostrophic equation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) General theory of rotating fluids (76U05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Meteorology and atmospheric physics (86A10)

Related Items (3)

Operator splitting for the fractional Korteweg‐de Vries equation ⋮ Operator splitting for the Benjamin-Ono equation ⋮ Operator splitting for partial differential equations with Burgers nonlinearity

Cites Work

• Nonlocal maximum principles for active scalars
• Global well-posedness for a modified critical dissipative quasi-geostrophic equation
• Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
• Global well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space
• Splitting methods for partial differential equations with rough solutions. Analysis and Matlab programs
• Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
• A maximum principle applied to quasi-geostrophic equations
• Vorticity and Incompressible Flow
• Operator splitting for the KdV equation
• Regularity and Blow up for Active Scalars
• Global regularity for a modified critical dissipative quasi-geostrophic equation
• Euler Equations, Navier-Stokes Equations and Turbulence
• Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
• The quasi-geostrophic equation in the Triebel Lizorkin spaces
• Behavior of Solutions of 2D Quasi-Geostrophic Equations
• Operator splitting for partial differential equations with Burgers nonlinearity
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Operator splitting for two-dimensional incompressible fluid equations