- Euler equations on homogeneous spaces and Virasoro orbits
2003/04/30 by Boris Khesin, Gerard Misiołek · 7 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Computer science #Dynamical systems theory #Euler equations #Euler's formula #Geodesic #Geodesic flow #Geometry and complex manifolds #Group (periodic table) #Homogeneous #Integrable system #Invariant (physics) #Lie group #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Pure mathematics #Space (punctuation) #Virasoro algebra
- Existence of permanent and breaking waves for a shallow water equation: a geometric approach
2000/01/01 by Adrian Constantin · 5 citations
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Advanced Mathematical Physics Problems #Navier-Stokes equation solutions #Geodesic #Mathematics #Diffeomorphism #Breaking wave #Manifold (fluid mechanics) #Flow (mathematics) #Waves and shallow water #Geodesic flow #Mathematical analysis #Metric (unit) #Riemannian manifold #Solving the geodesic equations #Geometry #Physics
- A shallow water equation as a geodesic flow on the Bott-Virasoro group
1998/02/01 by Gerard Misio łek · 20 citations
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Geometry and complex manifolds #Black Holes and Theoretical Physics #Mathematics #Geodesic flow #Geodesic #Invariant (physics) #Curvature #Metric (unit) #Group (periodic table) #Yamabe flow #Geodesic map #Pure mathematics #Sectional curvature #Mathematical analysis #Virasoro algebra #Flow (mathematics) #Conformal map #Mathematical physics #Scalar curvature #Algebra over a field #Geometry #Physics