Zobrazeno 1 - 10
of 99
pro vyhledávání: '"Panov, Evgeny"'
Autor:
Panov, Evgeny Yu.
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 that a nonlinear algebraic system for determination of the free bound
Externí odkaz:
http://arxiv.org/abs/2401.15338
Autor:
Lukin, Alexander, Guo, Zhifang, Lin, Yu, Panov, Evgeny, Artemyev, Anton, Zhang, Xiaojia, Petrukovich, Anatoli
Magnetic reconnection is one of the most universal processes in space plasma that is responsible for charged particle acceleration, mixing and heating of plasma populations. In this paper we consider a triggering process of reconnection that is drive
Externí odkaz:
http://arxiv.org/abs/2312.03323
Autor:
Panov, Evgeny Yu.
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 formulation of self-similar solutions, which allows to find precise condi
Externí odkaz:
http://arxiv.org/abs/2308.07055
Autor:
Panov, Evgeny Yu.
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 demonstrated that this solution corresponds to the minimum point of so
Externí odkaz:
http://arxiv.org/abs/2301.13292
Autor:
Panov, Evgeny Yu.
We find an explicit form of weak solutions to a Riemann problem for a degenerate semilinear parabolic equation with piecewise constant diffusion coefficient. It is demonstrated that the phase transition lines (free boundaries) correspond to the minim
Externí odkaz:
http://arxiv.org/abs/2210.16546
Autor:
Panov, Evgeny Yu.
We introduce the notion of entropy solutions (e.s.) to a conservation law with an arbitrary jump continuous flux vector and prove existence of the largest and the smallest e.s. to the Cauchy problem. The monotonicity and stability properties of these
Externí odkaz:
http://arxiv.org/abs/2205.07971
Autor:
Panov, Evgeny Yu.
Under a precise nonlinearity-diffusivity assumption we establish the decay of entropy solutions of a degenerate nonlinear parabolic equation with initial data being a sum of periodic function and a function vanishing at infinity (in the sense of meas
Externí odkaz:
http://arxiv.org/abs/2203.12051
Autor:
Panov, Evgeny Yu.
Under a precise genuine nonlinearity assumption we establish the decay of entropy solutions of a multidimensional scalar conservation law with merely continuous flux and with initial data being a sum of periodic function and a function vanishing at i
Externí odkaz:
http://arxiv.org/abs/2010.08752
Autor:
Panov, Evgeny Yu.
We prove existence of the largest and the smallest entropy solutions to the Cauchy problem for a nonlinear degenerate anisotropic parabolic equation. Applying this result, we establish the comparison principle in the case when at least one of the ini
Externí odkaz:
http://arxiv.org/abs/2004.07830
Autor:
Panov, Evgeny Yu.
We prove existence of the largest entropy sub-solution and the smallest entropy super-solution to the Cauchy problem for a nonlinear degenerate parabolic equation with only continuous flux and diffusion functions. Applying this result, we establish t
Externí odkaz:
http://arxiv.org/abs/1910.08739