The generalized Proudman-Johnson equation revisited
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Publication:361111
DOI10.1007/s00021-009-0004-3zbMath1270.35372OpenAlexW2068232074MaRDI QIDQ361111
Publication date: 28 August 2013
Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00021-009-0004-3
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Cites Work
- The trajectories of particles in Stokes waves
- Well-posedness of the generalized Proudman-Johnson equation without viscosity
- On the inviscid Proudman-Johnson equation
- The motion of the particles of a two-dimensional ideal incompressible fluid
- Wave breaking for nonlinear nonlocal shallow water equations
- Some similarity solutions of the Navier-Stokes equations and related topics
- Global solutions for quasilinear parabolic problems
- On the Role of the Convection Term in the Equations of Motion of Incompressible Fluid
- On a generalization of the Constantin–Lax–Majda equation
- Blow-up of unsteady two-dimensional Euler and Navier-Stokes solutions having stagnation-point form
- Dynamics of Director Fields
- On the Structure of Solutions to the Periodic Hunter--Saxton Equation
- Global Solutions of the Hunter--Saxton Equation
- Boundary-layer growth near a rear stagnation point