Analytic study of shell models of turbulence
نویسندگان
چکیده
منابع مشابه
Analytic Study of Shell Models of Turbulence
In this paper we study analytically the viscous ‘sabra’ shell model of energy turbulent cascade. We prove the global regularity of solutions and show that the shell model has finitely many asymptotic degrees of freedom, specifically: a finite dimensional global attractor and globally invariant inertial manifolds. Moreover, we establish the existence of exponentially decaying energy dissipation ...
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Superfluid helium consists of two inter-penetrating fluids, a viscous normal fluid and an inviscid superfluid, coupled by a mutual friction. We develop a two-fluid shell model to study superfluid turbulence and investigate the energy spectra and the balance of fluxes between the two fluids in a steady state. At sufficiently low temperatures a ’bottle-neck’ develops at high wavenumbers suggestin...
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هدف اصلی نرخ گذاری بیمه ای تعیین نرخ عادلانه و منطقی از دیدگاه بیمه گر و بیمه گذار است. تعین نرخ یکی از مهم ترین مسایلی است که شرکتهای بیمه با آن روبرو هستند، زیرا تعیین نرخ اصلی ترین عامل در رقابت بین شرکتها است. برای تعیین حق بیمه ابتدا می باید مقدار مورد انتظار ادعای خسارت برای هر قرارداد بیمه را برآورد کرد. روش عمومی مدل سازی خسارتهای عملیاتی در نظر گرفتن تواتر و شدت خسارتها می باشد. اگر شر...
15 صفحه اولShell Models for Magnetohydrodynamic Turbulence
We review the main properties of shell models for magnetohydrodynamic (MHD) turbulence. After a brief account on shell models with nearest neighbour interactions, the paper focuses on the most recent results concerning dynamical properties and intermittency of a model which is a generalization to MHD of the Gledzer-Yamada-Okhitani (GOY) model for hydrodynamic. Applications to astrophysical prob...
متن کاملRegularity of inviscid shell models of turbulence.
In this paper we continue the analytical study of the sabra shell model of energy turbulent cascade. We prove the global existence of weak solutions of the inviscid sabra shell model, and show that these solutions are unique for some short interval of time. In addition, we prove that the solutions conserve energy, provided that the components of the solution satisfy /u(n)/ <or= Ck(n)(-1/3)[squa...
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ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 2006
ISSN: 0167-2789
DOI: 10.1016/j.physd.2006.05.015