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math.AP2019
Dynamics of strongly interacting kink-antikink pairs for scalar fields on a line
Jacek Jendrej, Michał Kowalczyk, Andrew Lawrie
This paper concerns classical nonlinear scalar field models on the real line. If the potential is a symmetric double-well, such a model admits static solutions called kinks and ant…
math.AP2019
Dynamics of Bubbling Wave Maps with Prescribed Radiation
Jacek Jendrej, Andrew Lawrie, Casey Rodriguez
We study energy critical one-equivariant wave maps taking values in the two-sphere. It is known that any finite energy wave map that develops a singularity does so by concentrating…
math.AP2019
Construction of multi-bubble solutions for the energy-critical wave equation in dimension 5
Jacek Jendrej, Yvan Martel
We prove the existence of a global solution of the energy-critical focusing wave equation in dimension blowing up in infinite time at any given points of $\mathbb{R}^…