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math.AP2024
Wave maps in dimension with an external forcing
Zdzisław Brzeźniak, Jacek Jendrej, Nimit Rana
This paper aims to establish the local and global well-posedness theory in , inspired by the approach of Keel and Tao [Internat. Math. Res. Notices, 1998], for the forced wave…
math.AP2023★ 1 cited
Dynamics of kink clusters for scalar fields in dimension 1+1
Jacek Jendrej, Andrew Lawrie
We consider a real scalar field equation in dimension 1+1 with an even positive self-interaction potential having two non-degenerate zeros (vacua) 1 and -1. It is known that such a…
math.AP2022
Statistical mechanics of the wave maps equation in dimension 1+1
Zdzisław Brzeźniak, Jacek Jendrej
We study wave maps with values in S^d, defined on the future light cone {|x| <= t}, with prescribed data at the boundary {|x| = t}. Based on the work of Keel and Tao, we prove that…