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Note on the Number of Steady States for a 2D Smoluchowski Equation
the Number Steady States 2D Smoluchowski Equation
2014/4/4
Dynamics of concentrated polymer solutions are modeled by a Smoluchowski equation. At high concentrations, such solutions form liquid crystalline polymers of nematic structure. We prove that at high i...
A note on dynamical systems defining Jacobi's theta-constants
Jacobi’s theta-constants modular forms Poisson structures
2010/12/28
We propose a system of ordinary differential equations which defines Jacobi’s theta-constant series. The relations of this system to the classical Darboux–Halphen equations and equations introduced by...
A note on dynamical systems defining Jacobi's theta-constants
Jacobi’s theta-constants modular forms Poisson structures
2011/1/19
We propose a system of ordinary differential equations which defines Jacobi’s theta-constant series. The relations of this system to the classical Darboux–Halphen equations and equations introduced by...
A NOTE ON THE REGULARITY OF INVISCID SHELL MODEL OF TURBULENCE
NOTE ON THE REGULARITY INVISCID SHELL MODEL OF TURBULENCE
2014/4/4
In this paper we continue the analytical study of the sabra shell model of energy turbulent cascade initiated in [11]. We prove the global existence of weak solutions of the inviscid sabra shell model...