2 citations · 5 across the 6 of their papers we have counts for
6 papers
On the stability of multi-dimensional rarefaction waves I: the energy estimates
Tian-Wen Luo, Pin Yu
We study the resolution of discontinuous singularities in gas dynamics via rarefaction waves. The mechanism is well-understood in the one dimensional case. We will prove the non-no…
Quantization of Damping Particle Based On New Variational Principles
Tianshu Luo, Yimu Guo
In this paper a new approach is proposed to quantize mechanical systems whose equations of motion can not be put into Hamiltonian form. This approach is based on a new type of vari…
Application of Explicit Symplectic Algorithms to Integration of Damping Oscillators
Tianshu Luo, Yimu Guo
In this paper an approach is outlined. With this approach some explicit algorithms can be applied to solve the initial value problem of dimensional damped oscillators. This app…
An Examination of the Time-Centered Difference Scheme for Dissipative Mechanical Systems from a Hamiltonian Perspective
Tianshu Luo, Yimu Guo
On this paper, we have proposed an approach to observe the time-centered difference scheme for dissipative mechanical systems from a Hamiltonian perspective and to introduce the id…
Infinite-dimensional Hamiltonian description of a class of dissipative mechanical systems
Tianshu Luo, Yimu Guo
In this paper an approach is proposed to represent a class of dissipative mechanical systems by corresponding infinite-dimensional Hamiltonian systems. This approach is based upon…
A Sort of Relation among a Dissipative Mechanical System and Conservative Ones
Tianshu Luo, Yimu Guo
In this paper we proposed a proposition: for any nonconservative classical mechanical system and any initial condition, there exists a conservative one; the two systems share one a…