4. Mathematics
  5. Analysis of PDEs

Roman Shvydkoy

Mathematics – Analysis of PDEs

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A continuous model for turbulent energy cascade

Mathematics – Analysis of PDEs
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A geometric condition implying energy equality for solutions of 3D Navier-Stokes equation

Mathematics – Analysis of PDEs
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A unified approach to regularity problems for the 3D Navier-Stokes and Euler equations: the use of Kolmogorov's dissipation range

Mathematics – Analysis of PDEs
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Cocycles and Mañe sequences with an application to ideal fluids

Mathematics – Dynamical Systems
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Continuous spectrum of the 3D Euler equation is a solid annulus

Mathematics – Analysis of PDEs
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