Page 1

Displaying 1 – 2 of 2

Showing per page

Focusing of spherical nonlinear pulses in R1+3. II. Nonlinear caustic.

Rémi Carles, Jeffrey Rauch (2004)

Revista Matemática Iberoamericana

We study spherical pulse like families of solutions to semilinear wave equattions in space time of dimension 1+3 as the pulses focus at a point and emerge outgoing. We emphasize the scales for which the incoming and outgoing waves behave linearly but the nonlinearity has a strong effect at the focus. The focus crossing is described by a scattering operator for the semilinear equation, which broadens the pulses. The relative errors in our approximate solutions are small in the L∞ norm.

Currently displaying 1 – 2 of 2

Page 1