In this paper,under certain hypotheses the authors prove the global existence and uniqueness of discontinuous solutions to a class of generalizd Riemann Problems,the solutions contain two contact discontinuities.
In this paper,we discuss a class of the quasillinear hyperbolic equations with the inhomogeneous terms:ur+σ(v)x+2α(t)u=0,vr-ux=0 Under the certain of hypothesis,we prove the globally existence theorems of the smooth...In this paper,we discuss a class of the quasillinear hyperbolic equations with the inhomogeneous terms:ur+σ(v)x+2α(t)u=0,vr-ux=0 Under the certain of hypothesis,we prove the globally existence theorems of the smooth solutions for is cauchy problem.展开更多
文摘In this paper,under certain hypotheses the authors prove the global existence and uniqueness of discontinuous solutions to a class of generalizd Riemann Problems,the solutions contain two contact discontinuities.
文摘In this paper,we discuss a class of the quasillinear hyperbolic equations with the inhomogeneous terms:ur+σ(v)x+2α(t)u=0,vr-ux=0 Under the certain of hypothesis,we prove the globally existence theorems of the smooth solutions for is cauchy problem.