موج‌های پراکنده غیرخطی و سیالات: جلسهٔ ویژهٔ AMS در مورد حساب طیفی و معادلات دیفرانسیل جزئی کوزی‌خطی، آتلانتا، جورجیا ۵-۶ ژانویه ۲۰۱۷: جلسهٔ ویژهٔ AMS در تحلیل PDE بر روی جریان‌های سیال، آتلانتا، جورجیا، ۷ ژانویه ۲۰۱۷

This volume contains the proceedings of the AMS Special Session on Spectral Calculus and Quasilinear Partial Differential Equations and the AMS Special Session on PDE Analysis on Fluid Flows, which were held in January 2017 in Atlanta, Georgia. These two sessions shared the underlying theme of the analysis aspect of evolutionary PDEs and mathematical physics. The articles address 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. Blowup rate for mass critical rotational nonlinear Schrödinger equations / Nyla Basharat, Yi Hu, and Shijun Zheng -- Gradient estimates for weak solutions of linear elliptic systems with singular-degenerate coefficients / Dat Cao, Tadele Mengesha, and Tuoc Phan -- Virial estimates for hard spheres / Ryan Denlinger -- The almost global existence to classical solution for a 3-D wave equation of nematic liquid-crystals / Yi Du, Geng Chen, and Jianli Liu -- Instability of solitons - revisited, I: the critical generalized KdV equation / Luiz Gustavo Farah, Justin Holmer, and Svetlana Roudenko -- Instability of solitons - revisited, II: the supercritical Zakharov-Kuznetsov equation / Luiz Gustavo Farah, Justin Holmer, and Svetlana Roudenko -- Stabilization of dispersion-generalized Benjamin-Ono / Cynthia Flores, Seungly Oh, and Derek Smith -- Uniqueness of standing-waves for a non-linear Schrödinger equation with three pure-power combinations in dimension one / Daniele Garrisi and Vladimir Georgiev -- Below-threshold solutions of a focusing energy-critical heat equation in R4 / Stephen Gustafson and Dimitrios Roxanas -- A regularity upgrade of pressure / Dong Li and Xiaoyi Zhang -- On large future-global-in-time solutions to energy-supercritical nonlinear wave equation / Shuang Miao -- The nonlinear Schrödinger equation with an inverse-square potential / Jason Murphy -- The harmonic map heat flow on conic manifolds / Yuanzhen Shao and Changyou Wang -- On the global regularity issue of the two-dimensional magnetohydrodynamics system with magnetic diffusion weaker than a Laplacian / Kazuo Yamazaki -- Orbital stability of standing waves for fractional Hartree equation with unbounded potentials / Jian Zhang, Shijun Zheng, and Shihui Zhu