Symmetries and solutions to equations of two-dimensional motions of polytropic gas.
Symmetry group analysis and invariant solutions of hydrodynamic-type systems.
The hierarchical SPH-method for mathematical simulation in gravitational gas dynamics.
The numerical interface coupling of nonlinear hyperbolic systems of conservation laws : II. The case of systems
We study the theoretical and numerical coupling of two hyperbolic systems of conservation laws at a fixed interface. As already proven in the scalar case, the coupling preserves in a weak sense the continuity of the solution at the interface without imposing the overall conservativity of the coupled model. We develop a detailed analysis of the coupling in the linear case. In the nonlinear case, we either use a linearized approach or a coupling method based on the solution of a Riemann problem. We...
The numerical interface coupling of nonlinear hyperbolic systems of conservation laws: II. The case of systems
We study the theoretical and numerical coupling of two hyperbolic systems of conservation laws at a fixed interface. As already proven in the scalar case, the coupling preserves in a weak sense the continuity of the solution at the interface without imposing the overall conservativity of the coupled model. We develop a detailed analysis of the coupling in the linear case. In the nonlinear case, we either use a linearized approach or a coupling method based on the solution of a Riemann problem....
The p-system II: The vacuum
We consider the equations of isentropic gas dynamics in Lagrangian coordinates. We are interested in global interactions of large waves, and their relation to global solvability and well-posedness for large data. One of the main difficulties in this program is the possible occurrence of a vacuum, in which the specific volume is infinite. In this paper we show that the vacuum cannot be generated in finite time. More precisely, if the vacuum is present for some positive time, then it must be present...
Thermal conductivity and dynamic pressure in extended thermodynamics of chemically reacting mixture of gases
Time-dependent numerical modeling of large-scale astrophysical processes: from relatively smooth flows to explosive events with extremely large discontinuities and high Mach numbers
We calculate self-consistent time-dependent models of astrophysical processes. We have developed two types of our own (magneto) hydrodynamic codes, either the operator-split, finite volume Eulerian code on a staggered grid for smooth hydrodynamic flows, or the finite volume unsplit code based on the Roe's method for explosive events with extremely large discontinuities and highly supersonic outbursts. Both the types of the codes use the second order Navier-Stokes viscosity to realistically model...
Un cas limite de lemmes de compacité en moyenne motivé par la formulation cinétique de systèmes hyperboliques
Venturi wet gas flow modeling based on homogeneous and separated flow theory.
Výpočtová matematika a počítačová dynamika tekutin
Weakly stable multidimensional shocks
Единственность классического решения смешанной задачи для уравнений газовой динамики с граничными условиями на ударной волне
Коэффициенты возбуждения волн шепчущей галереи в окрестности точки распрямления вогнутой границы
Неизэнтропические одномерные движения газа, построенные с помощью контактной группы неоднородного уравнения Монжа-Ампера
О связи между решениями уравнения Больцмана и решением уравнения Ландау-Фоккера-Планка
Об одном подходе к конструированию разностных схем для квазилинейных уравнений газовой динамики
Симметризация системы уравнений радиационной гидродинамики и глобальная разрешимость задачи Коши
Смешанная задача для неоднородной квазилинейнoй гиперболической системы уравнений
Точные решения уравнений Навье-Стокса для вязкого теплопроводного газа