9 citations · 9 across the 1 of their papers we have counts for
3 papers
math.AP2017★ 9 cited
Hyperbolic relaxation of the 2D Navier-Stokes equations in a bounded domain
Alexei Ilyin, Yuri Rykov, Sergey Zelik
A hyperbolic relaxation of the classical Navier-Stokes problem in 2D bounded domain with Dirichlet boundary conditions is considered. It is proved that this relaxed problem possess…
math.AP2001
On the Theory of Discontinuous Solutions to Some Strongly Degenerate Parabolic Equations
Yuri G. Rykov
It is studied the Cauchy problem for the equations of Burgers' type but with bounded dissipation flux. Such equations degenerate to hyperbolic ones as the velocity gradient tends t…
math.AP2001
On the nonhamiltonian character of shocks in 2-D pressureless gas
Yuri G. Rykov
The paper deals with the 2-D system of gas dynamics without pressure which was introduced in 1970 by Ya.Zeldovich to describe the formation of large-scale structure of the Universe…