Stable self-similar blowup in energy supercritical Yang-Mills theory (Q484361)

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English	Stable self-similar blowup in energy supercritical Yang-Mills theory	scientific article

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scholarly article

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Stable self-similar blowup in energy supercritical Yang-Mills theory (English)

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Roland Donninger

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Mathematische Zeitschrift

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publication date

7 January 2015

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full work available at URL

https://arxiv.org/abs/1202.1389

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zbMATH Keywords

nonlinear wave equation

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MaRDI profile type

MaRDI publication profile

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Collapse of an instanton

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Equivariant self-similar wave maps from Minkowski spacetime into 3-sphere

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Self-similar solutions of semilinear wave equations with a focusing nonlinearity

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Global well-posedness and scattering for the defocusing energy-supercritical cubic nonlinear wave equation

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The defocusing energy-supercritical cubic nonlinear wave equation in dimension five

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Scattering below critical energy for the radial 4D Yang-Mills equation and for the 2D corotational wave map system

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The radial wave operator in similarity coordinates

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On stable self-similar blowup for equivariant wave maps

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Stable self-similar blow up for energy subcritical wave equations

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On stable self-similar blow up for equivariant wave maps: the linearized problem

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The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. I. Local existence and smoothness properties

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The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. II. Completion of proof

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One-Parameter Semigroups for Linear Evolution Equations

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Critical phenomena in gravitational collapse

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Nondispersive radial solutions to energy supercritical non-linear wave equations, with applications

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Radial solutions to energy supercritical wave equations in odd dimensions

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The defocusing energy-supercritical nonlinear wave equation in three space dimensions

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The radial defocusing energy-supercritical nonlinear wave equation in all space dimensions

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Finite energy solutions of the Yang-Mills equations in \(\mathbb{R}^{3+1}\)

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On the optimal local regularity for the Yang-Mills equations in ℝ⁴⁺¹

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Renormalization and blow up for the critical Yang-Mills problem

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

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Fast and slow blowup in the<i>S</i><sup>2</sup>σ-model and the (4+1)-dimensional Yang-Mills model

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Determination of the blow-up rate for the semilinear wave equation

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Determination of the blow-up rate for a critical semilinear wave equation

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Existence and universality of the blow-up profile for the semilinear wave equation in one space dimension

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

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Weak solutions and development of singularities of the SU(2) σ‐model

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GLOBAL REGULARITY FOR YANG–MILLS FIELDS IN R<sup>1+5</sup>

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Global regularity and scattering for general non-linear wave equations II. (4+1) dimensional Yang-Mills equations in the Lorentz gauge

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Local well-posedness of the Yang--Mills equation in the temporal gauge below the energy norm

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00209-014-1344-0

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Sitelinks

Mathematics(1 entry)

mardi Publication:484361

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