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Nonlinear Dispersive Waves and Fluids
 
Edited by: Shijun Zheng :  Georgia Southern University, Statesboro, GA
Marius Beceanu :  University at Albany, Albany, NY
Jerry Bona :  University of Illinois at Chicago, Chicago, IL
Geng Chen :  University of Kansas, Lawrence, KS
Tuoc Van Phan :  University of Tennessee, Knoxville, TN
Avy Soffer :  Rutgers University, Piscataway, NJ
Nonlinear Dispersive Waves and Fluids
Softcover ISBN:  978-1-4704-4109-8
Product Code:  CONM/725
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-5196-7
Product Code:  CONM/725.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-4109-8
eBook: ISBN:  978-1-4704-5196-7
Product Code:  CONM/725.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Add to cart
Nonlinear Dispersive Waves and Fluids
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Nonlinear Dispersive Waves and Fluids
Edited by: Shijun Zheng :  Georgia Southern University, Statesboro, GA
Marius Beceanu :  University at Albany, Albany, NY
Jerry Bona :  University of Illinois at Chicago, Chicago, IL
Geng Chen :  University of Kansas, Lawrence, KS
Tuoc Van Phan :  University of Tennessee, Knoxville, TN
Avy Soffer :  Rutgers University, Piscataway, NJ
Softcover ISBN:  978-1-4704-4109-8
Product Code:  CONM/725
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-5196-7
Product Code:  CONM/725.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-4109-8
eBook ISBN:  978-1-4704-5196-7
Product Code:  CONM/725.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Add to cart
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 725; 2019; 275 pp
    MSC: Primary 35; 37; 47; 58; 76; 93

    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.
    Readership

    Graduate students and research mathematicians interested in analysis, PDEs, and fluid dynamics.
  • Table of Contents
     
     
    • Articles
    • Nyla Basharat, Yi Hu and Shijun Zheng — Blowup rate for mass critical rotational nonlinear Schrödinger equations
    • Dat Cao, Tadele Mengesha and Tuoc Phan — Gradient estimates for weak solutions of linear elliptic systems with singular-degenerate coefficients
    • Ryan Denlinger — Virial estimates for hard spheres
    • Yi Du, Geng Chen and Jianli Liu — The almost global existence to classical solution for a 3-D wave equation of nematic liquid-crystals
    • Luiz Gustavo Farah, Justin Holmer and Svetlana Roudenko — 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
    • Cynthia Flores, Seungly Oh and Derek Smith — Stabilization of dispersion-generalized Benjamin-Ono
    • Daniele Garrisi and Vladimir Georgiev — Uniqueness of standing-waves for a non-linear Schrödinger equation with three pure-power combinations in dimension one
    • Stephen Gustafson and Dimitrios Roxanas — Below-threshold solutions of a focusing energy-critical heat equation in $\mathbb {R}^4$
    • Dong Li and Xiaoyi Zhang — A regularity upgrade of pressure
    • Shuang Miao — On large future-global-in-time solutions to energy-supercritical nonlinear wave equation
    • Jason Murphy — The nonlinear Schrödinger equation with an inverse-square potential
    • Yuanzhen Shao and Changyou Wang — The harmonic map heat flow on conic manifolds
    • Kazuo Yamazaki — On the global regularity issue of the two-dimensional magnetohydrodynamics system with magnetic diffusion weaker than a Laplacian
    • Jian Zhang, Shijun Zheng and Shihui Zhu — Orbital stability of standing waves for fractional Hartree equation with unbounded potentials
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Contemporary Mathematics
Volume: 725; 2019; 275 pp
MSC: Primary 35; 37; 47; 58; 76; 93

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.
Readership

Graduate students and research mathematicians interested in analysis, PDEs, and fluid dynamics.
  • Articles
  • Nyla Basharat, Yi Hu and Shijun Zheng — Blowup rate for mass critical rotational nonlinear Schrödinger equations
  • Dat Cao, Tadele Mengesha and Tuoc Phan — Gradient estimates for weak solutions of linear elliptic systems with singular-degenerate coefficients
  • Ryan Denlinger — Virial estimates for hard spheres
  • Yi Du, Geng Chen and Jianli Liu — The almost global existence to classical solution for a 3-D wave equation of nematic liquid-crystals
  • Luiz Gustavo Farah, Justin Holmer and Svetlana Roudenko — 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
  • Cynthia Flores, Seungly Oh and Derek Smith — Stabilization of dispersion-generalized Benjamin-Ono
  • Daniele Garrisi and Vladimir Georgiev — Uniqueness of standing-waves for a non-linear Schrödinger equation with three pure-power combinations in dimension one
  • Stephen Gustafson and Dimitrios Roxanas — Below-threshold solutions of a focusing energy-critical heat equation in $\mathbb {R}^4$
  • Dong Li and Xiaoyi Zhang — A regularity upgrade of pressure
  • Shuang Miao — On large future-global-in-time solutions to energy-supercritical nonlinear wave equation
  • Jason Murphy — The nonlinear Schrödinger equation with an inverse-square potential
  • Yuanzhen Shao and Changyou Wang — The harmonic map heat flow on conic manifolds
  • Kazuo Yamazaki — On the global regularity issue of the two-dimensional magnetohydrodynamics system with magnetic diffusion weaker than a Laplacian
  • Jian Zhang, Shijun Zheng and Shihui Zhu — Orbital stability of standing waves for fractional Hartree equation with unbounded potentials
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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