Hugoniot-Maslov chains for solitary vortices of the shallow water equations. I: Derivation of the chains for the case of variable Coriolis forces and reduction to the Hill equation.
From MaRDI portal
Publication:1613879
zbMath1059.76506MaRDI QIDQ1613879
Publication date: 3 September 2002
Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)
PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) General theory of rotating fluids (76U05) Meteorology and atmospheric physics (86A10) Soliton equations (35Q51)
Related Items (7)
On eigenfunctions of the structures described by the ``shallow-water model on the plane ⋮ Asymptotic Maslov’s method for shocks of conservation laws systems with quadratic flux ⋮ Typhoon eye trajectory based on a mathematical model: comparing with observational data ⋮ A Perturbative Theory of the Evolution of the Center of Typhoons ⋮ Cauchy-Riemann conditions and point singularities of solutions to linearized shallow-water equations ⋮ Hugoniot-Maslov chain for shock waves in Buckley-Leverett equations ⋮ Inheritance of generic singularities of solutions of a linear wave equation by solutions of isoentropic gas motion equations
This page was built for publication: Hugoniot-Maslov chains for solitary vortices of the shallow water equations. I: Derivation of the chains for the case of variable Coriolis forces and reduction to the Hill equation.