Under the assumption of asymptotic multi-bubble decomposition with comparable scales, scaling parameters of 5D energy-critical wave solutions are of order t^{-2} and the modulation vector converges to a component of an algebraic set determined by the limiting bubble configuration.
and Lawrie, A.Classification of kink clusters for scalar fields in dimension1 + 1, arXiv preprint, arXiv:2412.16274 (2024)
2 Pith papers cite this work. Polarity classification is still indexing.
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Constructs soliton clusters for the L²-critical Hartree equation that follow m-body dynamics and produce finite-time collision blow-up at prescribed points.
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Rigidity of the multi-bubble solutions to the energy critical wave equation in dimension five
Under the assumption of asymptotic multi-bubble decomposition with comparable scales, scaling parameters of 5D energy-critical wave solutions are of order t^{-2} and the modulation vector converges to a component of an algebraic set determined by the limiting bubble configuration.
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On soliton clusters and collision blow up for the $L^2$-critical Hartree equation
Constructs soliton clusters for the L²-critical Hartree equation that follow m-body dynamics and produce finite-time collision blow-up at prescribed points.