8 citations · 13 across the 23 of their papers we have counts for
24 papers
On flows generated by square-integrable vector fields
Nikolay A. Gusev, Mikhail V. Korobkov, Evgeny Yu. Panov +1
For square-integrable divergence-free vector field on we prove that the following properties are equivalent: 1) the operator $A_0 ρ= \boldsymbol{v}…
On symmetric systems of transport equations
Evgeny Yu. Panov
We study a symmetric system of transport equations with solenoidal coefficients. This system reduces to an evolutionary equation with a skew-symmetric spatial operator in the real…
On linear evolutionary equations with skew symmetric spatial operators
Evgeny Yu. Panov
We study generalized solutions of an evolutionary equation related to a densely defined skew-symmetric operator in a real Hilbert space. We establish existence of a contractive sem…
On evolutionary equations related to skew-symmetric spatial operators
Evgeny Yu. Panov
We study generalized solutions of an evolutionary equation related to some densely defined skew-symmetric operator in a real Hilbert space. We establish existence of a contractive…
On self-similar solutions of a multi-phase Stefan problem
Evgeny Yu. Panov
We study self-similar solutions of a multi-phase Stefan problem, first in the case of one space variable, and then in the radial multidimensional case. In both these cases we prove…
On solutions of an ill-posed Stefan problem
Evgeny Yu. Panov
We study multi-phase Stefan problem with increasing Riemann initial data and with generally negative latent specific heats for the phase transitions. We propose the variational for…