Add to ORKGWe study several schemes of rst or second-order accuracy based on kinetic approximations to solve pressureless and isothermal gas dynamics equations. The pressureless gas system is weakly hyperbolic, giving rise to the formation of density concentrations known as delta-shocks. For the isothermal gas system, the in nite speed of expansion into vacuum leads to zero timestep in the Godunov method based on exact Riemann solver. The schemes we consider are able to bypass these diculties. They are proved to satisfy positiveness of density and discrete entropy inequalities, to capture the delta-shocks and treat data with vacuum. 1
AbstractWe describe δ-shock wave generation from continuous initial data in the case of triangular c...
We study the interactions of delta shock waves and vacuum states for the system of conservation laws...
Abstract. A notion of entropy quasisolution is introduced for the Euler equa-tions of isothermal gas...
In the present work, we consider the numerical approximation of pressureless gas dynamics in one and...
One of the most important and complex effects in compressible fluid flow simulation is a shock-captu...
We prove that no vacuum state exists for the single-piston and double-piston problem for Navier-Stok...
Abstract In this paper, by the viscosity vanishing approach, we consider the Riemann problem for zer...
The collision integral approximation by different model equations has created a whole new trend in t...
In this paper, we study the robustness of the 1D adaptive numerical scheme based on numerical densit...
AbstractThe subject of this paper is theoretical analysis and numerical verification of delta shock ...
We tackle, using the Isothermal Gas Equations, the problem of loss of monotonicity behind slowly mov...
Abstract. In this paper we present a kinetic relaxation scheme for the Euler equations of gas dynami...
Hyperbolic systems of partial differential equations with relaxation source terms arise in the model...
We present an alternative framework for designing efficient numerical schemes for non-conservative h...
AbstractIn this paper we propose an extended entropy condition for general systems of hyperbolic con...
AbstractWe describe δ-shock wave generation from continuous initial data in the case of triangular c...
We study the interactions of delta shock waves and vacuum states for the system of conservation laws...
Abstract. A notion of entropy quasisolution is introduced for the Euler equa-tions of isothermal gas...
In the present work, we consider the numerical approximation of pressureless gas dynamics in one and...
One of the most important and complex effects in compressible fluid flow simulation is a shock-captu...
We prove that no vacuum state exists for the single-piston and double-piston problem for Navier-Stok...
Abstract In this paper, by the viscosity vanishing approach, we consider the Riemann problem for zer...
The collision integral approximation by different model equations has created a whole new trend in t...
In this paper, we study the robustness of the 1D adaptive numerical scheme based on numerical densit...
AbstractThe subject of this paper is theoretical analysis and numerical verification of delta shock ...
We tackle, using the Isothermal Gas Equations, the problem of loss of monotonicity behind slowly mov...
Abstract. In this paper we present a kinetic relaxation scheme for the Euler equations of gas dynami...
Hyperbolic systems of partial differential equations with relaxation source terms arise in the model...
We present an alternative framework for designing efficient numerical schemes for non-conservative h...
AbstractIn this paper we propose an extended entropy condition for general systems of hyperbolic con...
AbstractWe describe δ-shock wave generation from continuous initial data in the case of triangular c...
We study the interactions of delta shock waves and vacuum states for the system of conservation laws...
Abstract. A notion of entropy quasisolution is introduced for the Euler equa-tions of isothermal gas...