| Supersonic, Dispersive Fluid Flows |
| Organizer: |
| Mark Hoefer ( North Carolina State University, U.S.A. ) |
| Boaz Ilan ( University of California, Merced, U.S.A. ) |
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| There is growing experimental and theoretical interest in
the dynamics of nonlinear dispersive (essentially non-dissipative)
fluids. Examples of such "nonlinear superfluids" are Bose-Einstein
atomic condensates and light propagating in nonlinear optical
media. When the fluid velocity exceeds the local speed of sound, rich
dynamical phenomena are excited such as solitons, dispersive shock
waves, vortices, and various instabilities. Mathematically, many of
these problems are related to the semi-classical or small dispersion
limit of the NLS, KdV and other nonlinear dispersive equations. In
light of recent progress, the time is ripe to have a broad discussion
on this topic. This mini-symposium session will foster an exchange of
ideas within and between the applied mathematics and experimental
physics communities. |
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| List of Speakers: |
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| 1) Gennady El ( Loughborough University, U.K. ) |
| "Two-dimensional supersonic nonlinear Schrödinger flows past obstacles" |
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| 2) Mark Hoefer ( North Carolina State University, U.S.A. ) |
| "Oblique Shock Waves in Dispersive Eulerian Fluids" |
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| 3) Boaz Ilan ( University of California, Merced, U.S.A. ) |
| "Absolute and convective instabilities of oblique dispersive
shock waves" |
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| 4) Jason Fleischer ( Princeton University, U.S.A. ) |
| "Rayleigh-Taylor Instability in Nonlinear Schrödinger Flow" |
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| 5) Peter Engels ( Washington State University, U.S.A. ) |
| "Quantum hydrodynamics in ultracold atomic gases" |
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| 6) Brian Anderson ( University of Arizona, U.S.A. ) |
| "Vortex dipoles in a Bose-Einstein condensate" |
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| 7) Virgil Pierce ( University of Texas-Pan American, U.S.A. ) |
| "The Whitham equations for dispersionless higher order integrable systems" |
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| 8) Christian Klein ( Institut de Mathmatiques de Bourgogne, France ) |
| "Universality of critical behaviour in Hamiltonian PDEs" |
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| 9) Antonio Moro ( SISSA, Italy ) |
| "Dispersive shock wave in the continuous limit of Fermi-Pasta-Ulam models" |
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