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Showing 1 to 4 of 4 for “"incompressible Euler equations"”.

  1. Well-posedness and blowup results for the swirl-free and axisymmetric primitive equations in a cylinder

    This thesis is devoted to the motion of the incompressible and inviscid flow which is ax- isymmetric and swirl-free in a cylinder, where the hydrostatic approximation is made in the axial direction. It addresses the problem of local existence and uniqueness in the spaces of analytic functions for …

    uvic Repository record for Well-posedness and blowup results for the swirl-free and axisymmetric primitive equations in a cylinder (opens in a new tab)

  2. Stability of Periodic Waves in Nonlocal Dispersive Equations

    … the existence and stability of periodic waves in equations that possess nonlocal dispersion, i.e. equations in which the dispersion relation between the temporal frequency, omega, and wavenumber, k, of a plane wave is not polynomial in ik. In models that involve only classical derivative operators …

    ku Repository record for Stability of Periodic Waves in Nonlocal Dispersive Equations (opens in a new tab)

  3. Blow-up of Solutions to the Generalized Inviscid Proudman-Johnson Equation

    … equation serves as a model for n-dimensional incompressible Euler flow, gas dynamics, high-frequency waves in shallow waters, and orientation of waves in a massive director field of a nematic liquid crystal. Furthermore, the equation also serves as a tool for studying the role that the natural …

    uno Repository record for Blow-up of Solutions to the Generalized Inviscid Proudman-Johnson Equation (opens in a new tab)