9 citations · 20 across the 4 of their papers we have counts for
4 papers
Stable blow up dynamics for the critical co-rotational Wave Maps and equivariant Yang-Mills problems
P. Raphael, I. Rodnianski
We exhibit stable finite time blow up regimes for the energy critical co-rotational Wave Map with the S^2 target in all homotopy classes and for the critical equivariant SO(4) Yang…
Stable self similar blow up dynamics for slightly L^2 supercritical NLS equations
Frank Merle, Pierre Raphael, Jeremie Szeftel
We consider the focusing nonlinear Schrödinger equations in dimension and for slightly supercritical nonlinearities $p_c<p<(1…
Two soliton solutions to the three dimensional gravitational Hartree equation
Joachim Krieger, Yvan Martel, Pierre Raphael
We construct non dispersive two soliton solutions to the three dimensional gravitational Hartree equation whose trajectories asymptotically reproduce the nontrapped dynamics of the…
Blow up of the critical norm for some radial L^2 super critical nonlinear Schrodinger equations
Frank Merle, Pierre Raphael
We consider the nonlinear Schrödinger equation in dimension in the super critical range . The corresponding s…