Yan Guo, Publications

REFEREED JOURNAL ARTICLES

1. ‘Global weak solutions of the Vlasov-Maxwell system with boundary conditions,’ Commun. Math. Phys. 174, 245-263, (1993).

2. ‘Regularity of the Vlasov equations in a half space,’ Indiana U. Math. J. 43, 255-320, (1994).

3. ‘Singular solutions of the 1-D Vlasov-Maxwell system with boundary conditions,’ Arch. Rat. Mech. Anal. 3, 171, 241-304 (1995).

4. ‘Global finite energy solutions of the Maxwell-Shrodinger system,’ (with K. Nakamitsu and W. Strauss), Commun. Math. Phys. 1, 170, 181-196 (1995).

5. ‘Nonlinear instability of double-humped equilibria,’ (with W. Strauss), Ann. I. H. P., Analysis Nonlineare. 3, 12, 339-352 (1995).

6. ‘Instabilities of periodic BGK equilibria’, (with W. Strauss), Comm. Pure Appl. Math. Vol XLVIII, 861-894 (1995).

7. ‘Instability of symmetric vortices with large charge and coupling constant’, Comm. Pure Appl. Math, Vol. XLIX, 1051-1080 (1996).

8. ‘Steady states in collisionless plasmas’, (with C. Ragazzo), Comm. Pure Appl. Math, Vol. XLIX, 1145-1174 (1996).

9. ‘Stable magnetic equilibria in collisionless plasmas’, Comm. Pure Appl. Math., Vol. L, 891-933 (1997).

10. ‘A remark on instability of the symmetric vortices with large coupling constant’ (with L. Almeida and F. Bethuel), Comm. Pure Appl. Math., Vol L., 1295 - 1300 (1997).

11. ‘Smooth irrotational flows in the large to the Euler-Poisson system’, Commun. Math. Phys., 195, 249-265 (1998).

12. ‘Unstable BGK solitary waves and collisionless shocks', (with W. Strauss), Commun. Math.Phys., 195, 267-293 (1998).

13. ‘Relativistic unstable periodic BGK waves’, (with W. Strauss), Comp. Appl. Math., 18, no.1, 87-122 (1999).

14. ‘Stable magnetic equilibria in a symmetric collisionless plasmas’, Commun. Math. Phys, 200, 211-247, (1999).

15. ‘Unstable oscillatory-tail solutions’, (with W. Strauss), SIAM. J. Math. Anal., 30, no.5, 1076-1114, (1999).

16. ‘Variational method for stable polytropic galaxies’, Arch. Rational Mech. Anal., 150, 209-224, (1999).

17. ‘Stable steady states in stellar dynamics’, (with G. Rein), Arch. Rational Mech. Anal., 147, no. 3, 225-243, (1999).

18. ‘Existence and stability of Camm type steady states in galactic dynamics’, (with G. Rein), Indiana U. Math. J., 48, 4, 1237-1256 (1999).

19. ‘Formation of singularities in relativistic fluid dynamics and in spherically symmetric plasma dynamics’, (with A. Shadi Tahvildar-Zadeh), Contem. Math., 238, 151-161 (1999).

20.‘Dynamical instability of symmetric vortices.’ (with Almeida, Lu´is) Rev. Mat. Iberoamericana 17 (2001), no. 2, 409–419.

21. ‘Two-stream instabilities in plasmas.’ (with Cordier, S.; Grenier, E.) Cathleen Morawetz: a great mathematician. Methods Appl. Anal. 7 (2000), no. 2, 391–405.

22.‘On the generalized Antonov stability criterion.’ Nonlinear wave equations (Providence, RI, 1998), 85–107, Contemp. Math., 263, Amer. Math. Soc., Providence, RI, 2000.

23. ‘Magnetically created instability in a collisionless plasma,’ (with W. Strauss) J. Math. Pures Appl. 79, 10, 975-1009 (2000).

24.‘Numerical study of Landau damping. ’ (with C.W. Shu and T. Zhu), Physica D. 157 (2001) 323-333.

25. ‘Isotropic steady states in galactic dynamics.’ (with Rein, Gerhard) Comm. Math. Phys. 219 (2001), no. 3, 607–629.

26. ‘The Vlasov-Poisson-Boltzmann system near vacuum.’ Comm. Math. Phys. 218 (2001), no. 2, 293–313.

27. ‘’The Vlasov-Poisson-Boltzmann system near Maxwellians’. Comm. Pure Appl. Math. LV, 1104-1135 (2002).

28. ‘’The Landau equation in a periodic box’. Comm. Math. Phys., 231, 391-434 (2002).

29. ’Stable and unstable ideal plane flows.’ (with C. Bardos andW. Strauss) Chinese Ann. Math., dedicated to J. L. Lions, 23 B: 2 (2002) 149-164.

30. ‘On the dynamical Rayleigh-Taylor instability.’ (with H-J. Hwang) Archive. Rational Mech. Anal., 167, (2003) 235-253.

31. ‘The Vlasov-Boltzmann-Maxwell system near Maxwellians.’ Invent. Math., 153, 593-630 (2003).

32. ‘Stable models of elliptical galaxies.’ (with G. Rein) Mon. Not. R. Astron. Soc. 344, 1296-1306 (2003).

33. ’Classical solutions to the Boltzmann equation for molecules with an angular cuoff.’ Arch. Rational. Mech. Anal., 169, 305-353 (2003).

34. ‘Reactive dissolution instability driven by chemical diffusion with applications to harzburgite reactive dissolution.’ (with Y. Liang) Geophysical Research Letters, Vol 30, No. 13, 55-1. (2003)

35. ‘The dynamics of a plane diode’. (with C-W. Shu and T. Zhou) SIAM J. Math. Anal., 35, no. 6, 1617-1635 (2004).

36. ‘The dynamics near an unstable Kirchhoff ellipse.’ (with C. Hallstrom and D. Spirn) Comm. Math. Phys., 245 (2004), no. 2, 297-354.

37. ‘Compactness via symmetrization.’ (with A. Burchard) J. Funct. Anal., 214 (2004), no. 1, 40-73.

38. ‘The Boltzmann equation in the whole space’. Indiana Univ. Math. J., 53 (2004), no. 4, 1081–1094.

39. ‘Stability of the relativistic Maxwellian in a collisional plasma.’ (with R. Strain) Comm. Math. Phys. 251 (2004), no.2, 263-320.

40. ‘Analysis of the Reduced Vlasov-Maxwell Model with Boundary Conditions’ (with F. Filbet and C. W. Shu), Quart. Appl. Math., LXIII, 4 (2005) 691-714.

41. ‘Stability of semiconductor states with insulating and contact boundary conditions’ (with W. Strauss), Arch. Rational Mech. Anal., 179 (2006) 1-30.

42. ‘Almost exponential decay near Maxwellians’ (with R. Strain), Comm. PDE, 31, 3 (2006) 417-429.

43. ‘Boltzmann diffusive limit beyond the Navier-Stokes approximation’ Comm. Pure Appl. Math., 59, 5 (2006) 626-687.

44. ‘A non-variational approach to nonlinear stability in stellar dynamics applied to the King model’ (with G. Rein), Commun. Math. Phys., 271 (2007) 489-509.

45. ‘Dynamics near unstable, interfacial fluids’ (with C. Hallstrom and D. Spirn), Commun. Math. Phys., 270 (2007), 635-689.

46. ‘Pattern formation (II): The Turing instability’ with (H. Hwang), Proc. AMS, 135 (2007), 2855-2866.

47. ‘Decay for soft potentials near Maxwellian’ (with R. Strain), Arch. Rational Mech. Anal., 187 (2008).

48.  Patten fromation (I): , The Keller-Segel model (with H. J. Hwang). To appear in J. Differential Equations 2007.

49. ‘Unstable and stable galaxy models’ (with Z. Lin), accepted in Commun. Math. Phys.

Publications in Progress

1. ‘Decay and continuity of Boltzmann equation in bounded domains’ submitted 2007.

2. ‘Critical Rayleigh number in the Bernard problem’ (with Y. Han) submitted 2007.

3. ‘Stability of the front under Vlasov-Fokker-Planck dynamics’ (with R. Esposito, R. Marra), submitted 2007.

4. ‘Stability in the Stefan problem with surface tension (I)’ (with M. Hadzic), preprint 2007.

5. ‘Stability in the Stefan problem with surface tension (II)’ (with M. Hadzic), in preparation.

6. ‘Stability of front solution for the Vlasov-Boltzmann system’ (with R. Esposito, R. Marra), in preparation.