The author gets a blow-up result of C1 solution to the Cauchy problem for a first order quasilinear non-strictly hyperbolic system in one space dimension.
With the Riemann solver to the scalar hyperbolic conservation law with a spatially varying flux, a δ-mapping algorithm was proposed. The algorithm and its prospective application in traffic flow problems were briefed...With the Riemann solver to the scalar hyperbolic conservation law with a spatially varying flux, a δ-mapping algorithm was proposed. The algorithm and its prospective application in traffic flow problems were briefed in the paper.展开更多
The existence and uniqueness of the local classical solution of nonhomogenuous Hopf equations in higher dimensions are proved in this paper. This solution is obtained by vanishing the viscosity term of Burger’s equat...The existence and uniqueness of the local classical solution of nonhomogenuous Hopf equations in higher dimensions are proved in this paper. This solution is obtained by vanishing the viscosity term of Burger’s equations in higher dimensions.展开更多
文摘The author gets a blow-up result of C1 solution to the Cauchy problem for a first order quasilinear non-strictly hyperbolic system in one space dimension.
文摘With the Riemann solver to the scalar hyperbolic conservation law with a spatially varying flux, a δ-mapping algorithm was proposed. The algorithm and its prospective application in traffic flow problems were briefed in the paper.
文摘The existence and uniqueness of the local classical solution of nonhomogenuous Hopf equations in higher dimensions are proved in this paper. This solution is obtained by vanishing the viscosity term of Burger’s equations in higher dimensions.
