报告题目：Multiple scale traveling waves and applications
报告人： Jack Xin （Professor of Mathematics (tenured), University of Texas, Austin）
报告时间：5月25日上午9:00~11:00（暂定）
地点：理科楼411室
注：报告用中文报告。
Curriculum Vitae of Jack Xin
Mailing address: Department of Mathematics University of Texas at Austin Austin, TX 78712, USA. Web, Phone, Fax: www.math.utexas.edu/users/jxin phone: (512)-471-3149 fax: (512)-471-9038.
Education: 9/86 – 8/90 Courant Institute, New York University. Ph.D in Mathematics (10/90), Advisor: G. C. Papanicolaou. M.S. in Mathematics (6/88). 9/81 – 8/85 Peking University. B.S. in Mathematics (8/85).
Research: Partial Di erential Equations (PDE), Asymptotic Analysis, Scientific Computation, and their Applications in Fluid Dynamics, Voice Signal Processing, Biology, Nonlinear Optics and Geoscience.
Employment: 9/99–present Professor of Mathematics (tenured), University of Texas, Austin. 9/97–8/99 Associate Professor (tenured), University of Arizona. 9/91-5/97 Assistant Professor of Mathematics, University of Arizona. 9/91-8/92 Postdoctoral Fellow at the Institute for Advanced Study, Princeton. 9/90 –8/91 Postdoctoral Fellow at the Math Sciences Research Inst, Berkeley.
Honors, Awards and Recognition: 4/03 Fellow of the John Simon Guggenheim Memorial Foundation. 12/02 Faculty Research Assignment Award, University of Texas. 4/02 Selected as highly cited author in mathematics by ISI’s Essential Science Indicators (ESI). 8/94 NFR Research Fellowship, Swedish Natural Science Research Council, Institut Mittag-Leer, Sweden. 4/91 Kurt O. Friedrichs Prize, Courant Institute, New York University. Invited Professorships: 10/02 Institute de Henri Poincar´e, Paris, France. 6/00 Multimedia Laboratory, Hokkaido University, Japan. 4/98 Math Institute, Stuttgart University, Germany.
Grants: 6/03 – 5/04 Awarded SCREMS National Science Foundation Grant, DMS- 0322962 (PI: Computational Mathematical Research at UTM ). 9/02 – 8/05 Awarded ITR (Information Technology Research) National Science Foundation Grant, ITR-0219004 (PI: PDE Based Algorithms for Processing Multi-scale Audio Signals). 9/02 – 5/03 Awarded Army Research Oce Grant, DAAD19-02-1-0172 (PI: International Conference on Random Phenomena in Applied Mathematics). 10/00 – 9/02 Awarded Army Research Oce Grant, DAAD19-00-1-0524 (PI: Mathematical Models of Phoneme Recognition Based on Human Auditory Systems). 6/99 – 9/00 Awarded Army Research Oce Grant, DAAD19-99-1-0248 (PI: Mathematical Models of Phoneme Recognition Based on Human Auditory Systems). 6/96 – 5/99 Awarded the National Science Foundation Grant, DMS-9625680 (PI: Analysis of Patterns and Dynamics of Nonlinear Dissipative Systems). 6/93 – 5/96 Awarded the National Science Foundation Grant, DMS-9302830 (PI: Analytical and Numerical Study of Nonlinear Waves in Inhomogeneous Media).
List of Published and Accepted Journal Articles: 1. Xin, J., Existence and Stability of Travelling Waves in Periodic Media Governed by a Bistable Nonlinearity. Journal of Dynamics and Differential Equations, Vol. 3, No. 4, 1991, pp 541-573. 2. Papanicolaou, G., Xin, J., Reaction-Di usion Fronts in Periodically Layered Media. J. Stat. Physics, Vol. 63, Nos. 5/6, 1991, pp 915- 931. 3. Xin, J., Existence and Uniqueness of Travelling Wave Solutions in a Reaction-Di usion Equation with Combustion Nonlinearity. Indiana Univ. Math. Journal, Vol. 40, No. 3, 1991, pp 985-1008. 4. Hou, T.Y., Xin, J., Homogenization of Linear Transport Equations with Oscillatory Vector Field. SIAM J. Appl. Math., Vol. 52, No. 1, pp 34-45, 1992. 5. Xin, J., Multidimensional Stability of Traveling Waves in a Bistable Reaction-Di usion Equation, I, Comm. in PDE, Vol. 17(1992), pp 1889-1899. 6. Levermore, C. D., Xin, J., Multidimensional Stability of Traveling Waves in a Bistable Reaction-Di usion Equation, II, Comm. PDE, Vol. 17(1992), pp 1901-1924. 7. Xin, J., Existence of Planar Flame Fronts in Convective-Di usive Periodic Media. Arch. Rat. Mech. and Anal., 121(1992), pp 205- 233. 8. Xin, J., Peirce, A., Chadam, J., Ortoleva, P., Reactive Flows in Layered Porous Media II. The Shape Stability of the Reaction Interface. SIAM Journal of Applied Math., 53/2 (April 1993), p. 319-339. 9. Xin, J., Existence of a Class of Symmetric Spiral Waves on Finite Disc Domains of Excitable Media. Indiana U. Math Journal, Vol. 42, No. 2, Winter 1993, pp 1305-1337. 10. Xin, J., Existence and nonexistence of traveling waves and reactiondi usion front propagation in periodic media. J. of Stat. Phys., 73(1993), pp 893-926. 11. Xin, J., Existence of Multidimensional Traveling Waves in Transport of Reactive Solutes through Periodic Porous Media, Archive for Rational Mech. and Analysis, 128(1994), pp 75-103. 12. Xin, J., and Zhu, Jingyi, Quenching and Propagation of Bistable Reaction-Di usion Fronts in Multidimensional Periodic Media, Physica D 81(1995), pp 94-110. 13. L. Berlyand and J. Xin, Large Time Asymptotics of Solutions of a Model Combustion System with Critical Nonlinearity, Nonlinearity 8(1995), pp 161-178. 14. J. Xin, A. Peirce, J. Chadam, P. Ortoleva, Reactive flows in layered porous media, I. Homogenization of free boundary problems, Asymptotic Analysis 11(1995), pp 31-54. 15. J. Bricmont, A. Kupiainen, J. Xin, Global Large Time Self-similarity of a Thermal-Di usive Combustion System with Critical Nonlinearity, Journal of Di erential Equation, Vol. 130, No. 1, pp 9-35, 1996. 16. J. Xin, J. Moloney, Global Weak Solutions and Attractors of the Three Dimensional Maxwell-Bloch Two Level Laser Systems, Comm. Math. Phys. 179, 511-528 (1996). 17. M.Weinstein, J. Xin, Dynamic Stability of the Vortex Solutions of the Ginzburg-Landau and the Nonlinear Schr¨odinger Equations, Comm. Math. Phys. 180, 389-428 (1996). 18. J. Wehr, J. Xin, White Noise Perturbation of Viscous Shock Fronts of the Burgers Equations, Comm. Math. Phys, 181, pp 183-203, 1996. 19. P. Collet, J. Xin, Global Existence and Large Time Asymptotic Bounds of L1 Solutions of Thermal Di usive Combustion Systems on Rn, Ann. Scuola Norm. Sup. Pisa, Serie IV, Vol. XXIII, Fasc. 4(1996). 20. J. Xin, Stability of Traveling Waves in a Solute Transport Equation, J. Di . Equation, Vol. 135, No. 2, pp 269-298, 1996. 21. G. Eyink, J. Xin, Dissipation-Independence of the Inertial-Convective Range in a Passive Scalar Model, Phys. Rev. Letter, Vol. 77, No. 13, pp 2674-2677, 1996. 22. J. Wehr, J. Xin, Front Speed in the Burgers Equation with a Random Flux, J. Stat. Phys., 88(1997), Nos. 3/4, pp 843-871. 23. M. Postel, J. Xin, A Numerical Study of Fronts in Random Media using a Solute Transport Model, Computational Geosciences 1(1997), pp 251-270. 24. G. Fennemore, J. Xin, Wetting Fronts in One Dimensional Periodically Layered Soils, SIAM J. Appl. Math, Vol. 58, no. 2, pp. 387-427, 1998. 25. S. Malham, J. Xin, Global Solutions to a Reactive Boussinesq System with Front Data on an Infinite Domain, Comm. Math. Phys., Vol. 193(2), pp 287-316, 1998. 26. J. Xin, J. Moloney, Global solutions and attractors of a Maxwell- Bloch Raman laser system in two transverse dimensions, Nonlinearity 11 (1998), pp 501-527. 27. J. Xin, D. Zhang, Statistical analysis of biodegradation fronts in one-dimensional heterogeneous porous media, Advances inWater Resources, vol. 22, no. 2, pp 103-116, 1998. 28. F-H Lin, J. Xin, A Unified Approach to Vortex Motion Laws of Complex Scalar Field Equations, Math Research Letters, 5(1998), no. 4, pp 1-6. 29. R. Murray, J. Xin, Existence of Traveling Waves in a Biodegradation System for Organic Contaminants, SIAM J. Math. Analysis, 1998, Vol 30, No. 1, pp 72-94. 30. F-H Lin, J. Xin, On the Incompressible Fluid Limit and the Vortex Motion Law of the Nonlinear Schr¨odinger Equation, Comm. Math. Phys., 200, pp 249-274, 1999. 31. F-H Lin, J. Xin, On the Dynamical Law of the Ginzburg-Landau Vortices on the Plane, Comm. Pure Appl. Math., 52(1999), no. 10, pp. 1189-1212. 32. J. Xin, Modeling Light Bullets with the Two Dimensional Sine- Gordon Equation, Physica D, Vol. 135, No. 3 & 4(2000), pp 345-368. 33. J. Xin, J. M. Hyman, Stability, Relaxation and Oscillation of Biodegradation Fronts, SIAM Journal Applied Math, 61:(2) 472-505, 2000. 34. J. Xin, Front Propagation in Heterogeneous Media, SIAM Review, Vol. 42, No. 2, June 2000, pp 161-230. Selected as ISI fast breaking paper in math, http://esi-topics.com/fbp/fbp-april2002.html, lists highly cited papers in 22 broad fields of science. These papers comprise the top 1 % of papers in each field and each year from 1991 through 2001. 35. G. Eyink, J. Xin, Self-similar Decay in the Kraichnan Model of a Passive Scalar, J. Stat Physics, Vol. 100, Issue 3/4, August, 2000. 36. Y-Y Qi, J. Xin, A Perception and PDE Based Nonlinear Transformation for Processing Spoken Words, Physica D, 149 (2001),143-160. 37. S. Ruuth, B. Merriman, J. Xin, S. Osher, A Di usion-Generated Approach to the Curvature Motion of Filaments, Journal of Nonlinear Science, 11 (2001), no. 6, 473–493. 38. G. Eyink, J. Xin, Statistical Analysis of a Semilinear Hyperbolic System with White Noise in Time Random Advection, Nonlinearity, Vol.15, No.3, May 2002, pp 551-565. 39. G. Mercado, B. Luce, J. Xin, Modeling Thermal Front Dynamics in Microwave Heating, IMA Journal of Applied Math, 67, no. 5, pp 419-439, 2002. 40. J. Xin, Y-Y Qi, L. Deng, Time Domain Computation of a Nonlinear Nonlocal Cochear Model with Applications to Multitone Interaction in Hearing, Communications in Math Sciences, Vol. 1, No. 2, pp. 211-227, 2003. 41. J. Xin, Self-Similarity in Deterministic and Stochastic Dissipative Systems, Bulletin of the Institute of Mathematics, Academia Sinica, Vol. 31, No. 2, pp 75-94, 2003. 42. M. D. LaMar, Y-Y Qi, J. Xin, Modeling Vocal Fold Motion with a Hydrodynamic Semi-Continuum Model, Journal of the Acoustical Society of America, Vol. 114, No. 1, pp 455-464, 2003. 43. J. Nolen, J. Xin, Reaction-di usion front speeds in spatiallytemporally periodic shear flows, SIAM J. Multiscale Modeling and Simulation, Vol. 1, No. 4, pp. 554-570, 2003. 44. J. Xin, Y-Y Qi, A PDE based two level model of the masking property of the human ear, Communications in Math Sciences, Vol. 1 (2003), No. 4, pp. 833-840. 45. J. Xin, KPP Front Speeds in Random Shears and the Parabolic Anderson Problem, Methods and Applications of Analysis, Vol. 10 (2003), No. 2, pp 191-198. 46. J. Xin, Y-Y Qi, Global well-posedness and multi-tone solutions of a class of nonlinear nonlocal cochlear models in hearing, Nonlinearity, Vol. 17 (2004), No. 2, pp 711-728. 47. J. Xin, Dispersive instability and its minimization in time domain computation of steady state responses of cochlear models, Journal of the Acoustical Soc. America, May 2004, to appear.
List of Refereed Proceeding Articles: 1. L. Berlyand, J. Xin, Renormalization group technique for asymptotic behavior of a thermal di usive model with critical nonlinearity, in Recent Developments in Evolution Equations, eds. A. C. McBride, G. F. Roach, pp 76-85, Longman Scientific and Technical, JohnWiley and Sons, 1995. 2. J. Xin, Fluid Limit and Free Boundaries in Biodegradation, Proceedings of the 1999 Chiba International Conference on Free Boundaries, Gakuto International Series, Math Sci & Applications, Vol. 13 (Free Boundary Problems: Theory and Applications 1), April, 2000, pp 429-440. 3. Y-Y Qi, J. Xin, A Perception and PDE Based Nonlinear Transformation for Processing Spoken Words (short version), Proceedings of the 6th International Conference on Spoken Language Processing (ICSLP), Vol. I, pp 445-448, 2000. 4. J. Xin, Y-Y Qi, L. Deng, Time Domain Computation of a Nonlinear Nonlocal Cochear Model with Applications to Multitone Interaction in Hearing (summary), Journal of the Acoustical Soc. America, Vol. 112, No. 5, Pt. 2 of 2, p. 2300, 2002. Proceedings of the First Pan-American/Iberian Meeting on Acoustics, Mexico, Dec, 2002. 5. M. D. LaMar, Y-Y Qi, J. Xin, A simple hydrodynamic semicontinuous model of vocal-fold motion (summary), Journal of the Acoustical Soc. America, Vol. 112, No. 5, Pt. 2 of 2, p. 2444, 2002. Proceedings of the First Pan-American/Iberian Meeting on Acoustics, Mexico, Dec, 2002. 6. J. Xin, Y-Y Qi, A two level model of the masking property of human ear (summary), Journal of the Acoustical Soc. America, Vol. 114, No. 5, Pt. 2, p. 2358, 2003. 7. J. Xin, Minimizing dispersive instability in time domain computation of steady state responses of cochlear models , p. 136, Midwinter Research Meeting, Association for Research in Otolaryngology, 2004.
List of Journal Articles in Review: 1. T. Povich, J. Xin, A numerical study of light bullets interaction in the (2+1) sine-Gordon equation, TICES report 03-28 (www.ices.utexas.edu), 2003. 2. J. Wehr, J. Xin, Scaling Limits of Waves in Convex Scalar Conservation Laws under Random Initial Perturbations, preprint, 2004.
Editorial Board: Communications in Mathematical Sciences. Dynamics of Partial Differential Equations.