Operator splitting for the Benjamin-Ono equation

DOI10.1016/j.jde.2015.08.002zbMath1326.35311arXiv1311.1766OpenAlexW1182426543MaRDI QIDQ496763

Ujjwal Koley, Helge Holden, Rajib Dutta, Nils Henrik Risebro

Publication date: 22 September 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.1766

zbMATH Keywords

convergenceerror estimateBenjamin-Ono equationStrang splittingGodunov splitting

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (5)

Convergence of finite difference schemes for the Benjamin-Ono equation ⋮ A convergent Crank-Nicolson Galerkin scheme for the Benjamin-Ono equation ⋮ Operator splitting for the fractional Korteweg‐de Vries equation ⋮ Theoretical developments in the study of partial differential equations ⋮ The analysis of operator splitting for the Gardner equation

Cites Work

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• On the global well-posedness of the Benjamin-Ono equation
• Global well-posedness in the energy space for the Benjamin-Ono equation on the circle
• Nonlocal models for nonlinear, dispersive waves
• Splitting methods for partial differential equations with rough solutions. Analysis and Matlab programs
• Operator splitting methods for generalized Korteweg-de Vries equations
• On well-posedness for the Benjamin-Ono equation
• Algebraic Solitary Waves in Stratified Fluids
• Convergence of a fully discrete finite difference scheme for the Korteweg–de Vries equation
• On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations
• Operator splitting for the KdV equation
• Global well-posedness of the Benjamin–Ono equation in low-regularity spaces
• Global well-posedness in <i>L</i><sup xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> for the periodic Benjamin-Ono equation
• On the cauchy problem for the benjamin-ono equation
• GLOBAL WELL-POSEDNESS OF THE BENJAMIN–ONO EQUATION IN H¹(R)
• The Inverse Scattering Transform for the Benjamin‐Ono Equation—A Pivot to Multidimensional Problems
• Operator splitting for partial differential equations with Burgers nonlinearity
• Operator splitting for two-dimensional incompressible fluid equations
• Operator Splitting for Well-Posed Active Scalar Equations
• Internal waves of permanent form in fluids of great depth

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