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- WEN-AN YONG
- 2002

- Wen-An Yong
- 1992

This work develops a singular perturbation theory for initial-value problems of nonlinear rst-order hyperbolic systems with stii source terms in several space variables. It is observed that under reasonable assumptions, many equations of classical physics of that type admit a structural stability condition. This condition is equivalent to the well-known… (More)

- Kevin Zumbrun, Wen-An Yong
- SIAM Journal of Applied Mathematics
- 2000

- Iuliu Sorin Pop, Wen-An Yong
- Numerische Mathematik
- 2002

- Liu Hong, Wen-An Yong
- Biophysical journal
- 2013

In this work, we derive a simple mathematical model from mass-action equations for amyloid fiber formation that takes into account the primary nucleation, elongation, and length-dependent fragmentation. The derivation is based on the principle of minimum free energy under certain constraints and is mathematically related to the partial equilibrium… (More)

- Wen-An Yong, Li-Shi Luo
- Physical review. E, Statistical, nonlinear, and…
- 2003

We prove that no H theorem exists for the athermal lattice Boltzmann equation with polynomial equilibria satisfying the conservation laws exactly and explicitly. The proof is demonstrated by using the seven-velocity model in a triangular lattice in two dimensions, and can be readily extended to other lattice Boltzmann models in two and three dimensions.… (More)

- WEN-AN YONG
- 1997

A stii system of conservation laws is analyzed with a diierence method. The existence of entropy-satisfying BV-solutions to the initial value problems is estabilished. Furthermore, we show that the solutions converge to the solutions of the corresponding equilibrium system as the relaxation time tends to zero.

- WEN-AN YONG
- 2008

This paper presents an observation that under reasonable conditions, many partial differential equations from mathematical physics possess three structural properties. One of them can be understand as a variant of the celebrated Onsager reciprocal relation in Modern Thermodynamics. It displays a direct relation of irreversible processes to the entropy… (More)

- Michael Junk, Wen-An Yong
- SIAM J. Numerical Analysis
- 2009

- WEN-AN YONG
- 1997

This note presents a simple approach toward interaction estimates of elementary waves for hyperbolic conservation laws. The new approach uses neither the Taylor expansion nor induction. The same technique is used to simplify the diierent interaction estimates in studying nonhomogeneous systems and initial-boundary value problems with Glimm's scheme. 1.… (More)