8 citations · 13 across the 23 of their papers we have counts for
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math.AP2022★ 1 cited
On the structure of weak solutions to the Riemann problem for degenerate nonlinear diffusion equation
Evgeny Yu. Panov
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 tha…
math.AP2022
On entropy solutions of scalar conservation laws with discontinuous flux
Evgeny Yu. Panov
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…
math.AP2022
On decay of entropy solutions to degenerate nonlinear parabolic equations with perturbed periodic initial data
Evgeny Yu. Panov
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 period…