Add to ORKGA quasilinear hyperbolic system which has a constant state in appropriate similar variables. These constant state solutions become special non-constant state solutions in the original variables. Two physical examples from gas dynamics and elastic-plastic deformation are studied and the occurence of shock waves demonstrate
AbstractWe consider the problem of nonexistence of smooth globally defined solutions to a quasilinea...
The system of nonlinear hyperbolic equations of shallow water flow over an obstacle yields different...
We discuss smooth solutions for a class of quasilinear non-strictly hyperbolic 2 x 2 systems in two ...
In this paper we study the propagation of weak discontinuities in quasi-linear hyperbolic systems of...
The evolution of discontinuity and formation of triple-shock pattern in solutions to a two-dimension...
AbstractThree problems of physical interest, which are described by first-order quasilinear hyperbol...
The Lie group of point transformations, which leave the equations for plane and radially symmetric f...
We consider quasi-linear hyperbolic system in the one-dimensional case, which are invariant with res...
A wide class of difference equations is described for approximating discontinuous time dependent sol...
summary:In this paper the exact formula for the critical time of generating discontinuity (shock wav...
AbstractThis work is a continuation of our previous work [Z.Q. Shao, Global structure stability of R...
The evolution of a characteristic shock in a relaxing gas is investigated and its interaction with a...
AbstractFor a quasilinear hyperbolic system, we use the method of vanishing viscosity to construct s...
AbstractIn this paper, the author proves the global structure stability of the Lax's Riemann solutio...
AbstractIn this paper we establish a general uniqueness theorem for nonlinear hyperbolic systems of ...
AbstractWe consider the problem of nonexistence of smooth globally defined solutions to a quasilinea...
The system of nonlinear hyperbolic equations of shallow water flow over an obstacle yields different...
We discuss smooth solutions for a class of quasilinear non-strictly hyperbolic 2 x 2 systems in two ...
In this paper we study the propagation of weak discontinuities in quasi-linear hyperbolic systems of...
The evolution of discontinuity and formation of triple-shock pattern in solutions to a two-dimension...
AbstractThree problems of physical interest, which are described by first-order quasilinear hyperbol...
The Lie group of point transformations, which leave the equations for plane and radially symmetric f...
We consider quasi-linear hyperbolic system in the one-dimensional case, which are invariant with res...
A wide class of difference equations is described for approximating discontinuous time dependent sol...
summary:In this paper the exact formula for the critical time of generating discontinuity (shock wav...
AbstractThis work is a continuation of our previous work [Z.Q. Shao, Global structure stability of R...
The evolution of a characteristic shock in a relaxing gas is investigated and its interaction with a...
AbstractFor a quasilinear hyperbolic system, we use the method of vanishing viscosity to construct s...
AbstractIn this paper, the author proves the global structure stability of the Lax's Riemann solutio...
AbstractIn this paper we establish a general uniqueness theorem for nonlinear hyperbolic systems of ...
AbstractWe consider the problem of nonexistence of smooth globally defined solutions to a quasilinea...
The system of nonlinear hyperbolic equations of shallow water flow over an obstacle yields different...
We discuss smooth solutions for a class of quasilinear non-strictly hyperbolic 2 x 2 systems in two ...