期刊： JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2021; 18 (2)
We study the Maxwell equation and the spin-2 field equation in Bondi-Sachs coordinates associated with an asymptotically flat Lorentzian metric. We co......
期刊： JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2021; 18 (1)
For the inertial Qian-Sheng model of nematic liquid crystals in the Q-tensor framework, we illustrate the roles played by the entropy inequality and e......
期刊： JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2021; 18 (2)
We consider the multidimensional Hamilton-Jacobi (HJ) equation u(t)+gamma(-1)vertical bar Du vertical bar(gamma) = 0 with 1 < gamma < 2 being a ......
期刊： JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2021; 18 (1)
We are interested in the inverse scattering problem for semi-linear wave equations in one dimension. Assuming null conditions, we prove that small dat......
期刊： JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2020; 17 (3)
We study here the Cauchy problem associated with the isentropic and compressible Euler equations for Chaplygin gases. Based on the new formulation of ......
期刊： JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2020; 17 (3)
The expansion of a wedge of magnetic fluid into vacuum is studied in this paper. The magnetic fluid away from the sharp corner of a wedge expands into......
期刊： JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2020; 17 (3)
We consider the Cauchy problem for the three-dimensional, compressible radiation hydrodynamic equations. We establish the existence and uniqueness of ......
期刊： JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2019; 16 (2)
We investigate a dissipative hyperbolic geometry flow in two space variables for which a new nonlinear wave equation is derived. Based on an energy me......
期刊： JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2019; 16 (3)
We consider the planar compressible magnetohydrodynamics (MHD) system for a viscous and heat-conducting ideal polytropic gas, when the viscosity, magn......
期刊： JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2018; 15 (1)
This paper is concerned with the weak dissipative structure for linear symmetric hyperbolic systems with relaxation. The authors of this paper had alr......
期刊： JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2018; 15 (2)
We introduce a notion of stochastic entropy solutions for heterogeneous scalar conservation laws with multiplicative noise on a bounded domain with no......
期刊： JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2018; 15 (2)
We study the compressible viscous magnetohydrodynamic (MHD) system and investigate the large-time behavior of strong solutions near constant equilibri......
期刊： JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2018; 15 (3)
The flow around a convex corner is one of the most important elementary flows. In this paper, we are concerned with the two-dimensional (2D) unsteady ......
期刊： JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2017; 14 (1)
We consider a two-dimensional (2D) steady jet generated by gas streaming in parallel supersonic flow out of a duct and into the atmosphere. When the g......
期刊： JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2017; 14 (1)
We investigate a one-dimensional nonlinear wave system which is the Euler-Lagrange equations of a variational principle modeling a type of cholesteric......
