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math-phMar 1, 2003
7
citations (OpenAlex)
authors
  • Thomas Curtright
  • David Fairlie
institutions
  • Durham University
  • University of Miami
arXiv abstractPDF
paper

Morphing quantum mechanics and fluid dynamics

arXiv:math-ph/0303003 · doi:10.1088/0305-4470/36/33/311

Abstract

We investigate the effects of given pressure gradients on hydrodynamic flow equations. We obtain results in terms of implicit solutions and also in the framework of an extra-dimensional formalism involving the diffusion/Schrodinger equation.

Examples involving shocks and references added

References in corpus (10)

  • Turbulence without pressure
  • Universal Field Equations with Covariant Solutions D.B. Fairlie
  • Non-Abelian Fluid Dynamics in Lagrangian Formulation
  • Velocity and velocity-difference distributions in Burgers turbulence
  • Integrable Generalisations of the 2-dimensional Born Infeld Equation
  • Quaternionic Madelung Transformation and Non-Abelian Fluid Dynamics
  • Hamilton-Jacobi Formulation of KS Entropy for Classical and Quantum Dynamics
  • Noncommuting Gauge Fields as a Lagrange Fluid
  • Extra Dimensions and Nonlinear Equations
  • The Geometric Origin of the Madelung Potential

Cited by in corpus (5)

  • Generation of a Complete Set of Supersymmetric Shape Invariant Potentials from an Euler Equation
  • Method for Generating Additive Shape Invariant Potentials from an Euler Equation
  • Phase space holography with no strings attached
  • Implicit Solutions of PDE's
  • An analytical solution of Monge differential equation
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