A Globally Stable Self-Similar Blowup Profile in Energy Supercritical Yang-Mills Theory

Stable blowup for the supercritical hyperbolic Yang-Mills equations

(2022) Irfan Glogić   ADVANCES IN MATHEMATICS

Hyperboloidal Similarity Coordinates and a Globally Stable Blowup Profile for Supercritical Wave Maps

(2019) Paweł Biernat et al.   INTERNATIONAL MATHEMATICS RESEARCH NOTICES

The Hyperbolic Yang–Mills Equation for Connections in an Arbitrary Topological Class

(2018) Sung-Jin Oh et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

The threshold theorem for the $(4+1)$-dimensional Yang–Mills equation: An overview of the proof

(2018) Sung-Jin Oh et al.   BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY

On blowup of co-rotational wave maps in odd space dimensions

(2017) Athanasios Chatzikaleas et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

On the Stability of Self-Similar Solutions to Nonlinear Wave Equations

(2016) Ovidiu Costin et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Mode Stability of Self-Similar Wave Maps in Higher Dimensions

(2016) Ovidiu Costin et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

On Blowup in Supercritical Wave Equations

(2016) Roland Donninger et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Null structure and local well-posedness in the energy class for the Yang–Mills equations in Lorenz gauge

(2016) Sigmund Selberg et al.   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

A proof for the mode stability of a self-similar wave map

(2016) O Costin et al.   NONLINEARITY

Generic Self-Similar Blowup for Equivariant Wave Maps and Yang–Mills Fields in Higher Dimensions

(2015) Piotr Bizoń et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Finite energy global well-posedness of the Yang–Mills equations on $\mathbb{R}^{1+3}$ : An approach using the Yang–Mills heat flow

(2015) Sung-Jin Oh   DUKE MATHEMATICAL JOURNAL

Finite Energy Local Well-Posedness for the Yang–Mills–Higgs Equations in Lorenz Gauge

(2014) Achenef Tesfahun   INTERNATIONAL MATHEMATICS RESEARCH NOTICES

GAUGE CHOICE FOR THE YANG–MILLS EQUATIONS USING THE YANG–MILLS HEAT FLOW AND LOCAL WELL-POSEDNESS IN H1

(2014) SUNG-JIN OH   Journal of Hyperbolic Differential Equations

Stable self-similar blowup in energy supercritical Yang–Mills theory

(2014) Roland Donninger   MATHEMATISCHE ZEITSCHRIFT

Local well-posedness of Yang–Mills equations in Lorenz gauge below the energy norm

(2014) Achenef Tesfahun   NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

Nondispersive decay for the cubic wave equation

(2014) Roland Donninger et al.   Analysis & PDE

Stable blow up dynamics for energy supercritical wave equations

(2013) Roland Donninger et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Global regularity for the Yang–Mills equations on high dimensional Minkowski space

(2012) Joachim Krieger et al.   MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY

Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems

(2012) Pierre Raphaël et al.   Publications Mathematiques de l IHES

On Stable Self-Similar Blow up for Equivariant Wave Maps: The Linearized Problem

(2011) Roland Donninger et al.   ANNALES HENRI POINCARE

On stable self-similar blowup for equivariant wave maps

(2011) Roland Donninger   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

GLOBAL REGULARITY FOR YANG–MILLS FIELDS IN R1+5

(2010) ATANAS STEFANOV   Journal of Hyperbolic Differential Equations

Renormalization and blow up for the critical Yang–Mills problem

(2009) J. Krieger et al.   ADVANCES IN MATHEMATICS

Scattering Below Critical Energy for the Radial 4D Yang-Mills Equation and for the 2D Corotational Wave Map System

(2008) Raphaël Côte et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS