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math.AP2023
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…
math.AP2023
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…