Description

Book Synopsis
Addresses the latest trends and perspectives in the area of nonlinear dispersive equations and fluid flows. The topics mainly focus on using state-of-the-art methods and techniques to investigate problems of depth and richness arising in quantum mechanics, general relativity, and fluid dynamics.

Table of Contents
  • N. Basharat, Y. Hu, and S. Zheng, Blowup rate for mass critical rotational nonlinear Schrodinger equations
  • D. Cao, T. Mengesha, and T. Phan, Gradient estimates for weak solutions of linear elliptic systems with singular-degenerate coefficients
  • R. Denlinger, Virial estimates for hard spheres
  • Y. Du, G. Chen, and J. Liu, The almost global existence to classical solution for a 3-D wave equation of nematic liquid-crystals
  • L. G. Farah, J. Holmer, and S. Roudenko, Instability of solitons-revisited, I: The critical generalized KdV equation
  • L. G. Farah, J. Holmer, and S. Roudenko, Instability of solitons-revisited, II: The supercritical Zakharov-Kuznetsov equation
  • C. Flores, S. Oh, and D. Smith, Stabilization of dispersion-generalized Benjamin-Ono
  • D. Garrisi and V. Georgiev, Uniqueness of standing-waves for a non-linear Schrodinger equation with three pure-power combinations in dimension one
  • S. Gustafson and D. Roxanas, Below-threshold solutions of a focusing energy-critical heat equation in $\mathbb{R}^4$
  • D. Li and X. Zhang, A regularity upgrade of pressure
  • S. Miao, On large future-global-in-time solutions to energy-supercritical nonlinear wave equation
  • J. Murphy, The nonlinear Schrodinger equation with an inverse-square potential
  • Y. Shao and C. Wang, The harmonic map heat flow on conic manifolds
  • K. Yamazaki, On the global regularity issue of the two-dimensional magnetohydrodynamics system with magnetic diffusion weaker than a Laplacian
  • J. Zhang, S. Zheng, and S. Zhu, Orbital stability of standing waves for fractional Hartree equation with unbounded potentials.

    Nonlinear Dispersive Waves and Fluids

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      Order before 4pm tomorrow for delivery by Mon 22 Jun 2026.

      A Paperback by Shijun Zheng, Marius Beceanu, Jerry Bona

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        View other formats and editions of Nonlinear Dispersive Waves and Fluids by Shijun Zheng

        Publisher: MP-AMM American Mathematical
        Publication Date: 3/30/2019 12:00:00 AM
        ISBN13: 9781470441098, 978-1470441098
        ISBN10: 1470441098
        Also in:
        Mathematical / Computational / Theoretical physics

        Description

        Book Synopsis
        Addresses the latest trends and perspectives in the area of nonlinear dispersive equations and fluid flows. The topics mainly focus on using state-of-the-art methods and techniques to investigate problems of depth and richness arising in quantum mechanics, general relativity, and fluid dynamics.

        Table of Contents
        • N. Basharat, Y. Hu, and S. Zheng, Blowup rate for mass critical rotational nonlinear Schrodinger equations
        • D. Cao, T. Mengesha, and T. Phan, Gradient estimates for weak solutions of linear elliptic systems with singular-degenerate coefficients
        • R. Denlinger, Virial estimates for hard spheres
        • Y. Du, G. Chen, and J. Liu, The almost global existence to classical solution for a 3-D wave equation of nematic liquid-crystals
        • L. G. Farah, J. Holmer, and S. Roudenko, Instability of solitons-revisited, I: The critical generalized KdV equation
        • L. G. Farah, J. Holmer, and S. Roudenko, Instability of solitons-revisited, II: The supercritical Zakharov-Kuznetsov equation
        • C. Flores, S. Oh, and D. Smith, Stabilization of dispersion-generalized Benjamin-Ono
        • D. Garrisi and V. Georgiev, Uniqueness of standing-waves for a non-linear Schrodinger equation with three pure-power combinations in dimension one
        • S. Gustafson and D. Roxanas, Below-threshold solutions of a focusing energy-critical heat equation in $\mathbb{R}^4$
        • D. Li and X. Zhang, A regularity upgrade of pressure
        • S. Miao, On large future-global-in-time solutions to energy-supercritical nonlinear wave equation
        • J. Murphy, The nonlinear Schrodinger equation with an inverse-square potential
        • Y. Shao and C. Wang, The harmonic map heat flow on conic manifolds
        • K. Yamazaki, On the global regularity issue of the two-dimensional magnetohydrodynamics system with magnetic diffusion weaker than a Laplacian
        • J. Zhang, S. Zheng, and S. Zhu, Orbital stability of standing waves for fractional Hartree equation with unbounded potentials.

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