Long-time shallow-water equations with a varying bottom
From MaRDI portal
Publication:4378875
DOI10.1017/S0022112097006721zbMath0897.76008OpenAlexW2074505232MaRDI QIDQ4378875
Darryl D. Holm, C. David Levermore, Roberto Camassa
Publication date: 1997
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0022112097006721
asymptotic expansionHamilton's principlepotential vorticityrigid-lid approximationthree-dimensional Euler equationsvertically averaged horizontal velocityconservation laws of energy and vorticityweak hydrostatic imbalance
Related Items
Averaged Lagrangians and the mean effects of fluctuations in ideal fluid dynamics, Vortex patch problem for steady lake equation, Well-posedness for mean-field evolutions arising in superconductivity, Well-posedness of the Green–Naghdi and Boussinesq–Peregrine systems, Classical solutions for a generalized Euler equation in two dimensions, Vortex motion for the lake equations, A New Class of Two-Layer Green-Naghdi Systems with Improved Frequency Dispersion, Asymptotic of Steady Vortex Pair in the Lake Equation, Transcritical shallow-water flow past topography: finite-amplitude theory, Mean-field dynamics for Ginzburg-Landau vortices with pinning and forcing, Shallow water equations with a complete Coriolis force and topography, Existence of solutions for models of shallow water in a basin with a degenerate varying bottom, Variational water-wave model with accurate dispersion and vertical vorticity, Stochastic wave-current interaction in thermal shallow water dynamics, Desingularization of vortex rings and shallow water vortices by a semilinear elliptic problem, Travelling vortices over mountains and the long-term structure of the residual flow, Long-time effects of bottom topography in shallow water, Global well-posedness for the lake equations, Desingularization of a steady vortex pair in the lake equation
