6533b858fe1ef96bd12b5878

RESEARCH PRODUCT

Blow-up of the non-equivariant 2+1 dimensional wave map

Jörg FrauendienerRalf Peter

subject

Mathematics::K-Theory and HomologyMathematical analysisOne-dimensional spaceMathematics::Analysis of PDEsEquivariant mapGeneral MedicineStability (probability)Mathematics::Algebraic TopologyMathematical PhysicsMathematics35L67 35L70 65M20 65P10 74H35

description

It has been known for a long time that the equivariant 2+1 wave map into the 2-sphere blows up if the initial data are chosen appropriately. Here, we present numerical evidence for the stability of the blow-up phenomenon under explicit violations of equivariance.

http://arxiv.org/abs/1205.2849