Birs- 15w5045: Dispersive Hydrodynamics: The Mathematics of Dispersive Shock Waves and Applications

  1. Title:
    Hamiltonian partial differential equations and Painleé transcendents

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  2. Title:
    On the stability of periodic waves in Hamiltonian PDEs

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  3. Title:
    Exact Direct Scattering for the Benjamin-Ono Equation and Applications to Small Dispersion Theory

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  4. Title:
    The reduced Ostrovsky equation: integrability and breaking

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  5. Title:
    Regularization of a shard shock by the defocusing nonlinear Schrödinger equation

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  6. Title:
    The nonlinear stage of modulational instability

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  7. Title:
    Dark-bright soliton solutions with nontrivial polarization interactions for the three-component defocusing nonlinear Schrödinger equation

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  8. Title:
    Artificial gauge fields in dilute-gas Bose-Einstein Condensates

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  9. Title:
    Shock waves in 2D NLS supersonic flow past oscillating attractive-repulsive obstacle

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  10. Title:
    Transverse instabilities of confined dark solitary waves

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  11. Title:
    Shock waves in the unitary Fermi gas

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  12. Title:
    Small-dispersion focusing nonlinear Schrödinger equation and the generation of rogue waves I

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  13. Title:
    Small-dispersion focusing nonlinear Schrödinger equation and the generation of rogue waves II

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  14. Title:
    Remarks on interactions of shock waves and long time asymptotics

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  15. Title:
    How many solitons are there in the Zabusky-Kruskal experiment?

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  16. Title:
    Sine-Gordon modulation solutions: application to macroscopic friction

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  17. Title:
    The mathematical theory of small-scale dependent shock waves

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  18. Title:
    Riemann Problems for the Modified KdV-Burgers Equation

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  19. Title:
    Shock waves, mean field models and critical phenomena

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  20. Title:
    Soliton turbulence and breather gas dynamics in ocean surface waves

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