Variational principle for two-dimensional incompressible inviscid flow

DOI10.1016/j.physleta.2007.03.044zbMath1209.76025OpenAlexW1974265431MaRDI QIDQ716001

Ji-Huan He

Publication date: 19 April 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.03.044

zbMATH Keywords

Navier-Stokes equationsemi-inverse methodvariational theory

Mathematics Subject Classification ID

Related Items (12)

Construction of the soliton solutions and modulation instability analysis for the Mel'nikov system ⋮ A generalized Clebsch transformation leading to a first integral of Navier-Stokes equations ⋮ Constructions of the soliton solutions to the good Boussinesq equation ⋮ Variational Principles for Vibrating Carbon Nanotubes Conveying Fluid, Based on the Nonlocal Beam Model ⋮ AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING ⋮ Exact solutions of the coupled Higgs equation and the Maccari system using He's semi-inverse method and \((\frac{G'}{G})\)-expansion method ⋮ Exact integration of the unsteady incompressible Navier-Stokes equations, gauge criteria, and applications ⋮ Variational approach to the inviscid compressible fluid ⋮ VARIATIONAL APPROACH TO THE BRIGHT-SOLITON OF THE FOURTH ORDER NONLINEAR SCHRÖDINGER EQUATION WITH CUBIC NONLINEARITY ⋮ Variational principles for buckling of microtubules modeled as nonlocal orthotropic shells ⋮ A variational approach to analyzing catalytic reactions in short monoliths ⋮ Generalized variational principle for long water-wave equation by He's semi-inverse method

Cites Work

• Unnamed Item
• Variational approach to the Broer-Kaup-Kupershmidt equation
• Conservative solutions to a nonlinear variational wave equation
• A variational principle for KPP front speeds in temporally random shear flows
• Variational principle for variable coefficients KdV equation
• Variational principles for coupled nonlinear Schrödinger equations
• Mixed variational formulations for continua with microstructure
• A variational theory for one-dimensional unsteady compressible flow -- an image plane approach
• Variational approach to higher-order water-wave equations
• Variational approach to the volume viscosity of fluids
• Comment on “Variational approach to the volume viscosity of fluids” [Phys. Fluids 18, 047101 (2006)]

This page was built for publication: Variational principle for two-dimensional incompressible inviscid flow