Non relativistic strings may be approximated by relativistic strings

Yann Brenier (1, 2)

1 JAD - Laboratoire Jean Alexandre Dieudonné
2 IWD - Institut Wolfgang Döblin

We show that bounded families of global classical relativistic strings that can be written as graphs are relatively compact in C0 topology, but their accumulation points include many non relativistic strings. We also provide an alternative formulation of these relativistic strings and characterize their ``semi-relativistic'' completion.

Mots clés: relativistic equations; hyperbolic pdes; extremal surfaces; weak completion

Domaines: Equations aux dérivées partielles [math.AP]

Yann Brenier. Non relativistic strings may be approximated by relativistic strings. 2006. ⟨hal-00103454⟩