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Thesis

On the soliton resolution conjecture for wave maps

Abstract:

Broadly speaking, the research presented in this thesis is centered around the study of the Soliton Resolution Conjecture (SRC) for the wave maps equation in dimension 2+1, which is rooted in a belief held by the physics community since the 1970's predicting that for a large class of non-linear dispersive/hyperbolic evolution equations in mathematical physics (of which wave maps are an example), the solution should decompose into a decoupled sum of rescaled solitons plus a regular ter...

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Division:
MPLS
Department:
Mathematical Institute
Role:
Author

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Supervisor
Role:
Supervisor
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
UUID:
uuid:b5ea3adf-99e5-4639-9a51-f821fd1e4b68
Deposit date:
2017-04-22

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