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    Chapter and Conference Paper

    SELF-SIMILARITY OF VORTICITY DYNAMICS IN DECAYING TWO-DIMENSIONAL TURBULENCE

    A new similarity theory is proposed for decaying two-dimensional Navier–Stokes turbulence, including the viscous range, which encompasses all Reynolds numbers and various degrees of hyperviscosity. In the high...

    Takahiro Iwayama, Theodore G. Shepherd in IUTAM Symposium on Elementary Vortices and… (2006)

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    Chapter and Conference Paper

    Self-Similarity of Decaying Two-Dimensional Turbulence governed by the Charney—Hasegawa—Mima Equation

    In decaying two-dimensional Navier—Stokes turbulence, Batchelor’s simi larity hypothesis fails due to the existence of coherent vortices. However, it has recently been shown that in decaying two-dimensional tu...

    Takahiro Iwayama, Theodore G. Shepherd… in Statistical Theories and Computational App… (2003)

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    Chapter

    Ripa’s Theorem and its Relatives

    In 1983, Pedro Ripa proved a stability theorem for parallel flows in rotating shallow-water dynamics which has since come to be known as Ripa’s theorem. It is singular for being the only known Arnol’d-type sta...

    Theodore G. Shepherd in Nonlinear Processes in Geophysical Fluid Dynamics (2003)