### scholarly work

Variational formulations of steady water waves with vorticity, J. Fluid Mech. 548 (2006), p. 151-163, with A. Constantin and D. Sattinger.

Stability of semiconductor states with insulating and contact boundary conditions, Arch. Rat. Mech. Anal.179 (2005), p. 1-30, with Y. Guo.

Exact steady periodic water waves with vorticity, Comm. Pure Appl. Math. 57 (2004), 481-527, with A. Constantin.

Stability of the Camassa-Holm solitons, J. Nonlin. Sci. 12 (2002), 415-422, with A. Constantin.

Instability of traveling waves of the Kuramoto-Sivashinsky equation, Chinese Annals Math. 23B (2002), 267-276, with Guanxiang Wang (in memory of J. L. Lions).

Irving Segal's work in partial differential equations, J. Funct. Anal. 190 (2002), 25-28 (in memory of I. E. Segal).

Exact periodic traveling waves with vorticity, C. R. Acad. Sci. Paris 335 (2002), 797-800. with A. Constantin.

Nonlinear instability of dispersive waves, in: T. Kato's method and principle for evolution equations in math. physics, Yurinsha, Tokyo (2002), 173-178.

Stable and unstable ideal plane flows, Chinese Annals Math. 23B (2002), 149-164, with C. Bardos and Y. Guo (in memory of J. L. Lions).

An inhomogeneous boundary value problem for nonlinear Schrodinger equations, J. Diff. Eqns. 173 (2001), 79-91, with C. Bu.

Time decay for the nonlinear beam equation, Meth. & Applics. of Analysis 7 (2001), 479-488, with S. Levandosky (dedicated to C. S. Morawetz).

Spectral condition for instability, Contemp. Math. 255 (2000), 189-198, with J. Shatah.

Stability of peakons, Comm. Pure Appl. Math. 53 (2000), 603-610, with A. Constantin.

Stability of a class of solitary waves in elastic compressible rods, Phys. Lett. A 270 (2000), 140-148, with A. Constantin.

Magnetically created instability in a collisionless plasma, J. de Maths. Pures et Appliq. 79, 10 (2000), 975-1009, with Y. Guo.

Regular solutions of the Vlasov-Poisson-Fokker-Planck system, Discrete & Cont. Dyn. Sys. 6 (2000), 751-772, with K. Ono.

Relativistic unstable periodic BGK waves, Comput. and Appl. Math. 18 (1999), 87-122, with Y. Guo.

Decay of the linearized Boltzmann-Vlasov system, Trans. Th. Stat. Phys. 28, 135-156, with R. Glassey.

Unstable oscillatory-tail waves in collisionless plasmas, SIAM J. Math. Anal. 30 (1999), 1076-1114, with Y. Guo.

Robustness of instability for the two-dimensional Euler equations, SIAM J. Math. Anal. 30 (1999), 1343-1354, with S. Friedlander and M. Vishik.

Perturbation of essential spectra of evolution operators and the Vlasov- Poisson-Boltzmann system, Discrete & Cont. Dyn. Sys. 5 (1999), 457-472, with R. Glassey.

Stability and instability in the kinetic theory of plasmas, Mathemática Contemporanêa 15 (1999), 249-258.

Unstable BGK solitary waves and collisionless shocks, Comm. Math. Phys. 195 (1998), 267-293, with Y. Guo.

Nonlinear instability in an ideal fluid, Annales de l'IHP (Anal. NL) 14 (1997), 187-209, with S. Friedlander and M. Vishik.

Existence and blow up of small-amplitude nonlinear waves with a negative potential, Discrete & Cont. Dyn. Sys. 3 (1997), 175-188, with K. Tsutaya.

Stability, instability and regularity of nonlinear waves, in: Nonlinear Waves, T. Ozawa, ed., Gakuto Int'l Series, Gakkotosho, Tokyo, 1997, p. 451-468.

Breathers as homoclinic geometric wave maps, Physica D 99 (1996), 113-133, with J. Shatah.

The relativistic Boltzmann equation, in: Quantization, Nonlinear PDEs and Operator Algebras, W. Arveson et al., eds., P.S.P.M. 59 (1996), Amer. Math. Soc., p. 203-209.

Asymptotic stability of the relativistic maxwellian via fourteen moments, Transport Th. Stat. Phys. 24 (1995), 657-678, with R. Glassey.

Instability of periodic BGK equilibria, Comm. Pure Appl. Math. 48 (1995), 861-894, with Y. Guo.

Microlocal dispersive smoothing for the Schrodinger equation, Comm. Pure Appl. Math. 48 (1995), 769-860, with W. Craig and T. Kappeler.

Global finite-energy solutions of the Maxwell-Schrodinger system, Comm. Math. Phys. 170 (1995), 181-196, with Y. Guo and K. Nakamitsu.

Book: Partial Differential Equations: An Introduction, Wiley and Sons, New York, 1992

Book: Nonlinear Wave Equations, NSF-CBMS Research Monograph, Amer. Math. Soc., Providence, 1989.

Nonlinear stability and instability of relativistic Vlasov-Maxwell systems, preprint, to appear in Comm. Pure Appl. Math., with Zhiwu Lin.

Linear stability and instability of relativistic Vlasov-Maxwell systems, preprint, to appear in Comm. Pure Appl. Math., with Zhiwu Lin.

Stability properties of steady water waves with vorticity, preprint, to appear in Comm. Pure Appl. Math., with A. Constantin.