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math-ph2022★ 1 cited
Steady flows of ideal incompressible fluid
Vladimir Yu. Rovenski, Vladimir A. Sharafutdinov
A new important relation between fluid mechanics and differential geometry is established. We study smooth steady solutions to the Euler equations with the additional property: the…
math-ph2015
An inequality for the zeta function of a planar domain
Alexandre Jollivet, Vladimir Sharafutdinov
We consider the zeta function for the Dirichlet-to-Neumann operator of a simply connected planar domain bounded by a smooth closed curve.We prove non-negativeness and gr…
math-ph2007★ 24 cited
On problem of polarization tomography, I
Roman Novikov, Vladimir Sharafutdinov
The polarization tomography problem consists of recovering a matrix function f from the fundamental matrix of the equation known for every geodesic of a giv…