1. Breakdown of smooth solutions to the dissipative nonlinear hyperbolic equations
Quarterly of Applied Mathematics, 40 (1982), 113-127.
2. The partial differential equation $u_t+f(u_x)_x=-cu$
The Proceedings of American Mathematical Society, 86 (1982), 395-401.
3. The Riemann problem for a van der Waals
fluid with entropy rate admissibility criterion
- isothermal case
Archives for Rational Mechanics and Analysis, 92 (1986), 247-263.
4. On the properties of entropy rate in the entropy rate admissibility criterion
Quarterly of Applied Mathematics, 43 (1985), 305-315.
5. The Riemann problem for a van der Waals fluid
Lectures in Applied Mathematics, 23 (1986), AMS.
6. The Riemann problem for a van der Waals
fluid with entropy rate admissibility criterion -
nonisothermal case
Journal of Differential Equations, 65 (1986), 158-174.
7. The entropy rate admissibility criterion and the double phase boundary
Contemporary Mathematics, 60 (1986), AMS.
8. (With K. Mischaikow), On the existence of intermediate magnetohydrodynamic shock wave
Journal of Dynamics and Differential Equations, 2 (1990), 163-175.
9. An inviscid approach to a phase transition problem
79-89, in Adiabatic Waves in
Liquid-Vapor Systems,
(G.E.A. Meier and P.A. Thompson Eds.), IUTAM Symposium Gottingen,
Springer-Verlag, Berlin Heiderberg 1990.
10. (With J. Lightbourne) Global existence and blowup for a semilinear integral equation
Journal of Integral Equations and Applications, 2 (1990), 529-546.
11. (With K. Mischaikow), An application of
connection matrix to magnetohydrodynamic
shock profiles
169-172, in Multidimensional
Hyperbolic Problems and Computations
(J. Glimm and A.J. Majda Eds.), IMA Volumes in Mathematics and
its Applications
Vo.29, Springer-Verlag, New York 1991.
12. (With K. Mischaikow), A dynamical systems approach to a phase transition problem
J. Diff. Eqns. 94 (1991), 340-378.
13. (With K. Mischaikow) On the slow motions
of phase boundaries in the Korteweg
theory of capillarity
Dynamic Systems and Applications 1 (1992), 441-452.
14. (With K. Mischaikow) On a global dynamics of a phase transition problem
Free boundary problems involving solids (J.H. Chadam and H. Rasmussen eds.), 226-231.
15. (With K. Mischaikow) A phase transition problem-A dynamical systems approach
Viscous profiles and numerical methods for shock waves (M. Shearer ed.), 73-78.
16. (With H. Fujimoto) On dynamical aspects of a phase transition problem
(Transactions of the ninth army conference on applied mathematics and computing), 427-435.
17. The Korteweg theory of capillarity and the phase transition problems
Transactions of the tenth army conference on applied mathematics and computing, 131-142.
18. (With D. Li) Solutions for two dimensional system for materials of Korteweg type
SIAM J. on Mathematical Analysis, 25 (1994), 85-98.
19. Nonlinear Stability of Rarefaction Waves for a Viscoelastic Material with Memory
Transactions of American Mathematical Society, 342 (1994), 645-669.
20. Stability of Rarefaction Waves for a Viscoelasticity
Journal of Differential Equations 111 (1994), 1-26.
21. (With D. Li) A System for Materials of Korteweg Type in Two Space Variables
Transactions of the
Eleventh Army Conference on Applied Mathematics and Computing
1994.
22. (With S. Kawashima) Existence of shock profiles for materials with memory
SIAM J. on Mathematical Analysis 26 (1995), 1130-1142.
23. Stability of Steady State Solutions for a Hydrodynamic Model for Semiconductors
in Smart Structures
and Materials 1995: Mathematics and Control in Smart Structures,
Vasundara V. Varadan, Editor, Proc. SPIE 2442, 493-502 (1995).
24. (With D. Li) Global solutions of high dimensional system for Korteweg materials
Mathematical Analysis and Applications 198 (1996), 84-97.
25. (With S. Kawashima) Nonlinear stability
of travelling wave solutions for viscoelastic
materials with memory
Journal of Differential Equations 127 (1996), 174-196.
26. (With D. Li) The Existence of Global
Solutions to a Fluid Dynamic Model for Materials
of Korteweg Type
Journal of Partial Differential Equations 9 (1996), 323-342.
27. (With S. Kawashima) Smooth Shock Profiles in Viscoelasticity with Memory
Studies in Advanced Mathematics 3 (1997), 271-281.
28. Stability and Instability of Steady State
Solutions for a Hydrodynamic Model for
Semiconductors
Proceedings of Royal Society of Edinburgh, 127A (1997), 781-796.
29. (With C. Zhu) Asymptotic Behavior of the
Solution to a Nonisentropic Hydrodynamic
Model of Semiconductors
Journal of Differential Equations 144 (1998), 353-389.
30. The Riemann Problem and the Existence of
Weak Solutions to a System of Mixed-Type
in Dynamic Phase Transition
Journal of Differential Equations 146 (1998), 287-319.
31. Breakdown of Smooth Solutions in One-dimensional Magnetostriction
to appear in Quarterly of Applied Mathematics.
32. The Entropy Rate Admissibility Criterion
and the Entropy Condition for a Phase
Transition Problem
submitted for publication in SIAM Journal on Mathematical Analysis.
33. (With C. Zhu) Stability of Steady State
Solutions for a Hydrodynamic Model for
Semiconductors of Two Carrier Type
submitted for publication in Journal of Differential Equations.