Weekly Events

• Lefschetz Seminar Series
  Mondays at 4:00, Barus and Holley 155

Special Events

• Upcoming Workshops

• Past workshops

  • A WORKSHOP ON FRONTS, PATTERNS AND PULSES
    IN REACTING SYSTEMS

    Date: February 26, 1999,
    Place: Lefschetz Center for Dynamical Systems, Brown University

    Schedule:

    Morning session will be held at 37 Manning St. Room 104

    9:30-10:30 Tasso Kaper (Boston University)
    "Modulated traveling pulses in the 1-D Gray-Scott model."

    11:00-12:00 Robert A. Gardner (University of Massachusetts)
    "Stability analysis of periodic waves."

    12:00-1:30 Lunch break

    Afternoon session will be held at 182 George St. Room110

    1:30-2:30 Benjamin B. Kimia (Brown University)
    "Exact WAve Propagation on a Discrete Grid."

    3:00-4:00 Yasumasa Nishiura (Hokkaido University)
    "Self-replication and self destruction in reaction diffusion systems."
    (This talk will be held jointly with PDE seminar.)

  • RECENT ADVANCES IN THE STABILITY OF NONLINEAR WAVES

    Date: May 18-20, 1998, Place: Little Compton

    Topics:

    Shock and pulse solutions in conservation laws and reaction-diffusion equations with applications in fluid dynamics and nonlinear optics; Evans function and topological methods for the location of point spectrum and decoding of effects of essential spectrum; pointwise semigroup methods for stability.

    Schedule:

    (Note all talks available in POSTSCRIPT format for viewing)

    Monday, May 18

    10-10:55 "Introduction to Shock Waves" K. Zumbrun, Indiana University

    11-11:55 "Stability Problems in Nonlinear Optics" , C. K. R. T. Jones, Brown

    2-2:55 "The Gap Lemma and Applications to the Stability of Viscous Shock Profiles" , R. A. Gardner, University of Massachusetts

    3-3:55 "Locating Potential Eigenvalues which may Birfucate from the Continuous Spectrum" , T. Kapitula, University of New Mexico.

    4:35-5:30 "The Evans Function for Discrete Conservation Laws: the Stability of Shock Waves", D. Serre, Ecole Normale Superieure de Lyon

    7:30- DISCUSSION

    Tuesday, May 19

    9-9:55 "Stability of Multibump Solutions- An Introduction" , B. Sandstede, Ohio State University

    10:30-11:15 "Stability of Large Pulse Solutions in the Gray-Scott Model: Matched Asymptotic Expansions and Evans Function Approaches" , T. Kaper, Boston University

    11:20-12:05 "Large Stable Pulse Solutions in a Class of Reaction-Diffusion Equations", A. Doelman, Universiteit Utrecht

    2-2:30 "Stability of Traveling Waves - A Topological Approach", S. Nii, Brown

    2:30-3:00 "Nonlocal Equations for microwave heating applications", A. Bose, New Jersey Institute of Technology

    3:00-3:30 "Stability of Traveling Waves in Birefrigent Fiber Optics" , K. Promislow, Simon Fraser University

    Wednesday, May 20

    9:00-9:55 "Method of singular characteristics for shock solutions of Hamilton-Jacobi equations" , X. Lin, North Carolina State University

    10:30-11:30 "Pointwise Semigroup Methods and Stability of Viscous Shock Waves", K. Zumbrun, Indiana University

    Additional Talks

    "Introduction to Conservation Laws: Nontrivial dynamics and Under-compressive Shock Waves" , K. Zumbrun, Indiana

    "On the Stability of Periodic Travelling Wave Solutions of the Fitz-Hugh Nagumo System" , E. Eszter, University of Massachusetts

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