5 problems

Consider wave maps in dimensions $n=3,4,5,6$ and the countable family of self-similar solutions described in the source, ordered so that the ground state is followed by the excited…

Let corotational wave maps and equivariant Yang–Mills connections be considered in the settings described above, with the explicit self-similar blowup solutions and profiles introd…

Consider the cubic nonlinear Schrödinger equation in the mass-critical case $d=2$, where the $L^2$-norm is invariant under the equation's natural scaling. Generic blowup conjecture…

Let $\phi_0$ denote the self-similar blowup solution considered above, and consider generic blowup solutions in the corresponding equivariant wave-map or Yang–Mills model in dimens…

In the three-dimensional $L^2$-critical nonlinear Schrödinger equation, the pseudo-conformal transformation applied to the ground-state soliton $Q$ produces a finite-time blowup so…