A dynamical approach to compactify the three dimensional Lorentz group.
Salvai, Marcos (2005)
Journal of Lie Theory
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Displaying similar documents to “Geometrical methods in hydrodynamics”
A dynamical approach to compactify the three dimensional Lorentz group.
Painlevé analysis and similarity reductions for the magma equation.
Harris, Shirley E., Clarkson, Peter A. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity: some results and open problems
Mihai Mariş (2010)
Journées Équations aux dérivées partielles
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This text is a survey of recent results on traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity. We present the existence, nonexistence and stability results and we describe the main ideas used in proofs.
Applications of group analysis to the three-dimensional equations of fluids with internal inertia.
Siriwat, Piyanuch, Meleshko, Sergey V. (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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A minicourse on global existence and blowup of classical solutions to multidimensional quasilinear wave equations
Serge Alinhac (2002)
Journées équations aux dérivées partielles
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The aim of this mini-course is twofold: describe quickly the framework of quasilinear wave equation with small data; and give a detailed sketch of the proofs of the blowup theorems in this framework. The first chapter introduces the main tools and concepts, and presents the main results as solutions of natural conjectures. The second chapter gives a self-contained account of geometric blowup and of its applications to present problem.
Derivation of the Zakharov equations
Benjamin Texier (2005)
Journées Équations aux dérivées partielles
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Expansions and eigenfrequencies for damped wave equations
Michael Hitrik (2001)
Journées équations aux dérivées partielles
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We study eigenfrequencies and propagator expansions for damped wave equations on compact manifolds. In the strongly damped case, the propagator is shown to admit an expansion in terms of the finitely many eigenmodes near the real axis, with an error exponentially decaying in time. In the presence of an elliptic closed geodesic not meeting the support of the damping coefficient, we show that there exists a sequence of eigenfrequencies converging rapidly to the real axis. In the case of...
On the global existence for the axisymmetric Euler equations
Hammadi Abidi, Taoufik Hmidi, Sahbi Keraani (2008)
Journées Équations aux dérivées partielles
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This paper deals with the global well-posedness of the D axisymmetric Euler equations for initial data lying in critical Besov spaces . In this case the BKM criterion is not known to be valid and to circumvent this difficulty we use a new decomposition of the vorticity .