3 papers
math.AP2018
Shock waves and characteristic discontinuities in ideal compressible two-fluid MHD
Lizhi Ruan, Yuri Trakhinin
We are concerned with a model of ideal compressible isentropic two-fluid magnetohydrodynamics (MHD). Introducing an entropy-like function, we reduce the equations of two-fluid MHD…
math.AP2018
Elementary symmetrization of inviscid two-fluid flow equations giving a number of instant results
Lizhi Ruan, Yuri Trakhinin
We consider two models of a compressible inviscid isentropic two-fluid flow. The first one describes the liquid-gas two-phase flow. The second one can describe the mixture of two f…
math.AP2011
Optimal Decay Rates to Conservation Laws with Diffusion-Type Terms of Regularity-gain and Regularity-loss
Renjun Duan, Lizhi Ruan, Changjiang Zhu
We consider the Cauchy problem on nonlinear scalar conservation laws with a diffusion-type source term related to an index over the whole space for any spatial dim…