1 citations · 1 across the 7 of their papers we have counts for
7 papers
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…
On the structure of entropy solutions to the Riemann problem for a degenerate nonlinear parabolic equation
Evgeny Yu. Panov
We find an explicit form of entropy solutions to a Riemann problem for a degenerate nonlinear parabolic equation with piecewise constant velocity and diffusion coefficients. It is…
On the long time behavior of almost periodic entropy solutions to scalar conservation laws
Evgeny Yu. Panov
We found the precise condition for the decay as of Besicovitch almost periodic entropy solutions of multidimensional scalar conservation laws. Moreover, in the case of…
On the Cauchy problem for scalar conservation laws on the Bohr compactification of
Evgeny Yu. Panov
We study the Cauchy problem for a multidimensional scalar conservation law on the Bohr compactification of . The existence and uniqueness of entropy solutions are established…
On the Cauchy problem for scalar conservation laws in the class of Besicovitch almost periodic functions: global well-posedness and decay property
Evgeny Yu. Panov
We study the Cauchy problem for a multidimensional scalar conservation law with merely continuous flux vector in the class of Besicovitch almost periodic functions. The existence a…