Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
The Yang-Mills Heat Flow and the Caloric Gauge
 
Sung-Jin Oh University of California, Berkeley, CA and Korea Institute for Advanced Study, Seul, Korea
Daniel Tataru University of California, Berkeley, CA
A publication of the Société Mathématique de France
The Yang-Mills Heat Flow and the Caloric Gauge
Softcover ISBN:  978-2-85629-961-6
Product Code:  AST/436
List Price: $57.00
AMS Member Price: $45.60
Please note AMS points can not be used for this product
The Yang-Mills Heat Flow and the Caloric Gauge
Click above image for expanded view
The Yang-Mills Heat Flow and the Caloric Gauge
Sung-Jin Oh University of California, Berkeley, CA and Korea Institute for Advanced Study, Seul, Korea
Daniel Tataru University of California, Berkeley, CA
A publication of the Société Mathématique de France
Softcover ISBN:  978-2-85629-961-6
Product Code:  AST/436
List Price: $57.00
AMS Member Price: $45.60
Please note AMS points can not be used for this product
  • Book Details
     
     
    Astérisque
    Volume: 4362022; 132 pp
    MSC: Primary 35; 70

    This is the first part of the four-paper sequence which establishes the Threshold Conjecture and the Soliton Bubbling vs. Scattering Dichotomy for the energy critical hyperbolic Yang-Mills equation in the \((4 + 1)\)-dimensional Minkowski space-time.

    The primary subject of this paper, however, is another PDE, namely the energy critical Yang-Mills heat flow on the 4-dimensional Euclidean space. The authors' first goal is to establish sharp criteria for global existence and asymptotic convergence to a flat connection for this system in \(\dot{H}^{1}\), including the Dichotomy Theorem (i.e., either the above properties hold or a harmonic Yang-Mills connection bubbles off) and the Threshold Theorem (i.e., if the initial energy is less than twice that of the ground state, then the above properties hold). The authors' second goal is to use the Yang-Mills heat flow in order to define the caloric gauge which will play a major role in the analysis of the hyperbolic Yang-Mills equation in the subsequent papers.

    A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

    Readership

    Graduate students and research mathematicians.

  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 4362022; 132 pp
MSC: Primary 35; 70

This is the first part of the four-paper sequence which establishes the Threshold Conjecture and the Soliton Bubbling vs. Scattering Dichotomy for the energy critical hyperbolic Yang-Mills equation in the \((4 + 1)\)-dimensional Minkowski space-time.

The primary subject of this paper, however, is another PDE, namely the energy critical Yang-Mills heat flow on the 4-dimensional Euclidean space. The authors' first goal is to establish sharp criteria for global existence and asymptotic convergence to a flat connection for this system in \(\dot{H}^{1}\), including the Dichotomy Theorem (i.e., either the above properties hold or a harmonic Yang-Mills connection bubbles off) and the Threshold Theorem (i.e., if the initial energy is less than twice that of the ground state, then the above properties hold). The authors' second goal is to use the Yang-Mills heat flow in order to define the caloric gauge which will play a major role in the analysis of the hyperbolic Yang-Mills equation in the subsequent papers.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

Readership

Graduate students and research mathematicians.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.