Lagrangian aspects of the axisymmetric Euler equation
نویسندگان
چکیده
منابع مشابه
Potentially singular solutions of the 3D axisymmetric Euler equations.
The question of finite-time blowup of the 3D incompressible Euler equations is numerically investigated in a periodic cylinder with solid boundaries. Using rotational symmetry, the equations are discretized in the (2D) meridian plane on an adaptive (moving) mesh and is integrated in time with adaptively chosen time steps. The vorticity is observed to develop a ring-singularity on the solid boun...
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This paper deals with the global well-posedness of the 3D axisymmetric Euler equations for initial data lying in critical Besov spaces B 1+3/p p,1 . 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.
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An all speed scheme for the Isentropic Euler equation is presented in this paper. When the Mach number tends to zero, the compressible Euler equation converges to its incompressible counterpart, in which the density becomes a constant. Increasing approximation errors and severe stability constraints are the main difficulty in the low Mach regime. The key idea of our all speed scheme is the spec...
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2016
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/29/3/1080