Supported by the National Natural Science Foundation of China(No.10871199 and 11071246)
We investigate the Chapman-Jouguet model in multi-dimensional space, and construct explicitly its non-selfsimilar Riemann solutions. By the method we apply in this paper, general initial discontinuities can be dealt w...
Supported by the National Natural Science Foundation of China(No.11071246,10871199 and 11201467);Fundamental Research Funds for the Central Universities(XDJK2014C075 and SWU113062)
We investigate Chapman-Jouguet models in three-dimensional space by means of generalized char- acteristic analysis. The interaction of detonation, shock waves and contact discontinuity is discussed intensively in this...
supported by National Natural Science Foundation of China (10871199)
In this article, we study the Riemann problem with delta initial data for the one-dimensional Chaplygin gas equations. Under the generalized Rankine-Hugoniot conditions and the entropy condition, we constructively obt...
supported by National Natural Science Foundation of China (10871199);one hundred talent project from the Chinese Academy of Sciences
The existence of spiral solution for the two-dimensional transport equations is considered in the present paper. Based on the notion of generalized solutions in the sense of Lebesgue-stieltjes integral, the global wea...
Sponsored by the National Natural Science Foundation of China (10671116,10871199, and 10001023);Hou Yingdong Fellowship (81004), The China Scholarship Council, Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry, Natural Science Foundation of Guangdong (06027210 and 000804);Natural Science Foundation of Guangdong Education Bureau (200030)
In this article, we get non-selfsimilar elementary waves of the conservation laws in another kind of view, which is different from the usual self-similar transformation. The solution has different global structure. Th...
supported by National Natural Science Foundation of China(10871199)
We consider the solution of the good Boussinesq equation Utt -Uxx + Uxxxx = (U2)xx, -∞ 〈 x 〈 ∞, t ≥ 0, with periodic initial value U(x, 0) = ε(μ + φ(x)), Ut(x, 0) = εψ(x), -∞ 〈 x 〈 ∞, where...