75 citations · 323 across the 24 of their papers we have counts for
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Space analyticity and bounds for derivatives of solutions to the evolutionary equations of diffusive magnetohydrodynamics
Vladislav Zheligovsky
In 1981, Foias, Guillopé and Temam proved a priori estimates for arbitrary-order space derivatives of solutions to the Navier-Stokes equation. Such bounds are instructive in the nu…
Time-analyticity of Lagrangian particle trajectories in ideal fluid flow
Vladislav Zheligovsky, Uriel Frisch
It is known that the Eulerian and Lagrangian structures of fluid flow can be drastically different; for example, ideal fluid flow can have a trivial (static) Eulerian structure, wh…
A very smooth ride in a rough sea
U. Frisch, V. Zheligovsky
It has been known for some time that a 3D incompressible Euler flow that has initially a barely smooth velocity field nonetheless has Lagrangian fluid particle trajectories that ar…
Optimal transport by omni-potential flow and cosmological reconstruction
Uriel Frisch, Olga Podvigina, Barbara Villone +1
One of the simplest models used in studying the dynamics of large-scale structure in cosmology, known as the Zeldovich approximation, is equivalent to the three-dimensional invisci…
A priori bounds for Gevrey-Sobolev norms of space-periodic three-dimensional solutions to equations of hydrodynamic type
V. Zheligovsky
We present a technique for derivation of a priori bounds for Gevrey-Sobolev norms of space-periodic three-dimensional solutions to evolutionary partial differential equations of hy…