Large time behavior of solutions to space-time monopole equations in 1 + 1 dimensions

DOI10.1142/S0219891620500150zbMath1455.35023WikidataQ115245192 ScholiaQ115245192MaRDI QIDQ3387943

Jihyun Yim, Bora Moon

Publication date: 8 January 2021

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

zbMATH Keywords

non-abelian gauge field theoryanti-self dual Yang-Mills equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with quantum mechanics (35Q40) Initial value problems for nonlinear first-order PDEs (35F25) Traveling wave solutions (35C07) Systems of nonlinear first-order PDEs (35F50)

Cites Work

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• Local well-posedness for the space-time monopole equation in Lorenz gauge
• Global solutions to space-time monopole equations in one space dimension
• Large-time behavior of the Broadwell model of a discrete velocity gas
• Local wellposedness for the \(2+1\)-dimensional monopole equation
• The Cauchy problem for space-time monopole equations in temporal and spatial gauge
• Large time behavior of solution to nonlinear Dirac equation in \(1+1\) dimensions
• Twistors in 2+1 dimensions
• The Cauchy problem for space-time monopole equations in Sobolev spaces
• Almost critical local well-posedness for the space-time monopole equation in Lorenz gauge

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