Nonlinear dispersive waves and fluids : AMS Special Session on Spectral Calculus and Quasilinear Partial Differential Equations, and PDE analysis on fluid flows, January 5-7, 2017, Atlanta, Georgia / Shijun Zheng [and six others], editors.

Format:

Book

Conference/Event

Author/Creator:

Zheng, Shijun, editor.

Conference Name:

AMS Special Session on Spectral Calculus and Quasilinear Partial Differential Equations (2017 : Atlanta, Georgia), issuing body.

AMS Special Session on PDE Analysis on Fluid Flows (2017 : Atlanta, Georgia), issuing body.

Series:

Contemporary mathematics (American Mathematical Society). 0271-4132 725

Contemporary mathematics, 725 0271-4132

Language:

English

Subjects (All):

Wave equation--Congresses.

Wave equation.

Nonlinear waves--Congresses.

Nonlinear waves.

Nonlinear wave equations--Congresses.

Nonlinear wave equations.

Physical Description:

1 online resource (290 pages) : illustrations.

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2019]

Language Note:

English

Summary:

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.

Contents:

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.

Notes:

Description based on print version record.

Includes bibliographical references.

ISBN:

1-4704-5196-4