Add to ORKGAbstract: The paper studies the (2*2) system of equations to isentropic gas dynamics and the (3*3) one to full gas dynamics in Eulerian coordinates in one dimension. With the aid of Glimm's scheme the existence theorem is proved in the case of initial data have bounded variation. The proof uses only general properties of hyperbolic conservation laws and maximum principle, but is valid for strictly positive density and energy. It is also shown that Cauchy problem for isentropic gas dynamics system in Lagrangian coordinates is incorrect in the class of distributions.Note: Research direction:Mathematical problems and theory of numerical method
Abstract. For the initial-boundary value problem (IBVP) if isentropic gas dynamics written in Lagran...
The main contribution of this paper is to use the maximum principle to obtain the explicit lower bou...
. We study the Riemann problem for the system of conservation laws of one dimensional isentropic gas...
Abstract: The paper studies the (2*2) system of equations to isentropic gas dynamics in Eu...
We prove the existence and compactness (stability) of entropy solutions for the hyperbolic systems o...
Abstract. Little is known about global existence of large-variation solutions to Cauchy prob-lems fo...
The constraints under which a gas at a certain state will evolve can be given by three partial diffe...
In a recent paper, jointly with Elisabetta Chiodaroli and Ondřej Kreml we consider the Cauchy proble...
In a recent paper, jointly with Elisabetta Chiodaroli and Ondřej Kreml we consider the Cauchy proble...
This overview is concerned with the well-posedness problem for the isentropic compressible Euler equ...
AbstractThe constraints under which a gas at a certain state will evolve can be given by three parti...
Abstract This overview is concerned with the well-posedness problem for the isentropic compressible ...
We consider a one dimensional model for the flow of a mixture of isentropic gases. The different gas...
The constraints under which a gas at a certain state will evolve can be given by three partial diffe...
The constraints under which a gas at a certain state will evolve can be given by three partial diffe...
Abstract. For the initial-boundary value problem (IBVP) if isentropic gas dynamics written in Lagran...
The main contribution of this paper is to use the maximum principle to obtain the explicit lower bou...
. We study the Riemann problem for the system of conservation laws of one dimensional isentropic gas...
Abstract: The paper studies the (2*2) system of equations to isentropic gas dynamics in Eu...
We prove the existence and compactness (stability) of entropy solutions for the hyperbolic systems o...
Abstract. Little is known about global existence of large-variation solutions to Cauchy prob-lems fo...
The constraints under which a gas at a certain state will evolve can be given by three partial diffe...
In a recent paper, jointly with Elisabetta Chiodaroli and Ondřej Kreml we consider the Cauchy proble...
In a recent paper, jointly with Elisabetta Chiodaroli and Ondřej Kreml we consider the Cauchy proble...
This overview is concerned with the well-posedness problem for the isentropic compressible Euler equ...
AbstractThe constraints under which a gas at a certain state will evolve can be given by three parti...
Abstract This overview is concerned with the well-posedness problem for the isentropic compressible ...
We consider a one dimensional model for the flow of a mixture of isentropic gases. The different gas...
The constraints under which a gas at a certain state will evolve can be given by three partial diffe...
The constraints under which a gas at a certain state will evolve can be given by three partial diffe...
Abstract. For the initial-boundary value problem (IBVP) if isentropic gas dynamics written in Lagran...
The main contribution of this paper is to use the maximum principle to obtain the explicit lower bou...
. We study the Riemann problem for the system of conservation laws of one dimensional isentropic gas...