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    Existence and Stability for the 3D Linearized Constant-Coefficient Incompressible Current-Vortex Sheets by Davide Catania

    Published 2013-01-01
    “…The problem of current-vortex sheets arises naturally, for instance, in geophysics and astrophysics. We prove the existence of a unique solution to the constant-coefficient linearized problem and an a priori estimate with no loss of derivatives. …”
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    Physics for Scientists and Engineers with Modern physics / by Giancoli, Douglas C.

    Published 2008
    Table of Contents: “…Introduction, measurement, estimating -- Mechanics -- Describing motion -- Kinematics in two or three dimensions -- Dynamics -- Using Newton's laws -- Gravitation and Newton's synthesis -- Work and energy -- Conservation of energy -- Linear momentum -- Rotational motion -- Angular momentum -- Static equilibrium -- Fluids, vibrations, waves, sound -- Fluids -- Oscillations -- Wave motion -- Sound -- Kinetic theory and thermodynamics -- Temperature, thermal expansion, and the ideal gas law -- Kinetic theory of gases -- Heat and the first law of thermodynamics -- Second law of thermodynamics -- Electricity and magnetism -- Electric charge and electric field -- Gauss's law -- Electric potential -- Capacitance, dielectrics, electric energy storage -- Electric currents and resistance -- DC circuits -- Magnetism -- Sources of magnetic field -- Electromagnetic induction and faraday's Law -- Inductance, electromagnetic oscillations -- Maxwell's equations and electromagnetic waves -- Light -- Lenses and optical instruments -- The wave nature of light -- Diffraction and polarization -- Modern physics -- Special theory of relativity -- Early quantum theory and models of the atom -- Quantum mechanics -- Quantum mechanics of atoms -- Molecules and solids -- Nuclear physics and radioactivity -- Nuclear energy -- Elementary particles -- Astrophysics and cosmology.…”
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