5 citations · 21 across the 9 of their papers we have counts for
9 papers
Interactions between discontinuities for binary mixture separation problem and hodograph method
M. S. Elaeva, E. V. Shiryaeva, Zhukov M. Yu
The Cauchy problem for first-order PDE with the initial data which have a piecewise discontinuities localized in different spatial points is completely solved. The interactions bet…
Hodograph Method and Numerical Solution of the Two Hyperbolic Quasilinear Equations. Part III. Two-Beam Reduction of the Dense Soliton Gas Equations
E. V. Shiryaeva, M. Yu. Zhukov
The paper presents the solutions for the two-beam reduction of the dense soliton gas equations (or Born-Infeld equation) obtained by analytical and numerical methods. The method pr…
Hodograph Method and Numerical Solution of the Two Hyperbolic Quasilinear Equations System. Part II. Zonal Electrophoresis Equations
E. V. Shiryaeva, M. Yu. Zhukov
The paper presents the solutions for the zonal electrophoresis equations are obtained by analytical and numerical methods. The method proposed by the authors is used. This method a…
Hodograph Method and Numerical Integration of Two Hyperbolic Quasilinear Equations. Part I. The Shallow Water Equations
E. V. Shiryaeva, M. Yu. Zhukov
In paper [S.I. Senashov, A. Yakhno. 2012. SIGMA. Vol.8. 071] the variant of the hodograph method based on the conservation laws for two hyperbolic quasilinear equations of the firs…
Mathematical Model of a pH-gradient Creation at Isoelectrofocusing. Part IV. Theory
E. V. Shiryaeva, N. M. Zhukova, M. Yu. Zhukov
The mathematical model describing the non-stationary natural pH-gradient arising under the action of an electric field in an aqueous solution of ampholytes (amino acids) is constru…
Mathematical Model of a pH-gradient Creation at Isoelectrofocusing. Part III: Numerical Solution of the Non-stationary Problem
E. V. Shiryaeva, N. M. Zhukova, M. Yu. Zhukov
The mathematical model describing the non-stationary natural pH-gradient arising under the action of an electric field in an aqueous solution of ampholytes (amino acids) is constru…
Mathematical Model of a pH-gradient Creation at Isoelectrofocusing. Part II. Numerical Solution of the Stationary Problem
L. V. Sakharova, E. V. Shiryaeva, M. Yu. Zhukov
The mathematical model describing the natural textrm{pH}-gradient arising under the action of an electric field in an aqueous solution of ampholytes (amino acids) is constructed an…
Mathematical Model of a pH-gradient Creation at Isoelectrofocusing
L. V. Sakharova, E. V. Shiryaeva, M. Yu. Zhukov
The mathematical model describing the stationary natural pH-gradient arising under the action of an electric field in an aqueous solution of ampholytes (amino acids) is constructed…
Rotating electrohydrodynamic flow in a suspended liquid film
E. V. Shiryaeva, V. A. Vladimirov, M. Yu. Zhukov
The mathematical model of a rotating electrohydrodynamic flow in a thin suspended liquid film is proposed and studied. The motion is driven by the given difference of potentials in…