Yutong Wu

collaborators

4 papers

math.AP2026

Finite-time stability of two-soliton solutions of the Hartree equation with elliptic trajectories

Yutong Wu

We prove the finite-time stability of two-soliton solutions of the three-dimensional gravitational Hartree equation whose centers remain close to an elliptic solution of the Kepler…

math.AP2026

On soliton clusters and collision blow up for the $L^{2}$ -critical Hartree equation

Tobias Schmid, Yutong Wu

We consider the $L^{2}$ -critical nonlinear Hartree equation in $R^{1 + 4}$ and multisoliton solutions for which the trajectories are approximated to leading order by an $m$ -bo…

math.AP2026

Multisoliton solutions and blow up for the $L^{2}$ -critical Hartree equation

Jaime GÃ³mez, Jaime Gómez, Tobias Schmid +1

We construct multisoliton solutions for the $L^{2}$ -critical Hartree equation with trajectories asymptotically obeying a many-body law for an inverse square potential. Precisely, we…

math.AP2026

Existence of multisoliton solutions of the gravitational Hartree equation in three dimensions

Yutong Wu

We prove the existence of multisoliton solutions of the three-dimensional gravitational Hartree equation whose trajectories follow many body dynamics of hyperbolic, parabolic or hy…

Finite-time stability of two-soliton solutions of the Hartree equation with elliptic trajectories

On soliton clusters and collision blow up for the L2-critical Hartree equation

Multisoliton solutions and blow up for the L2-critical Hartree equation

Existence of multisoliton solutions of the gravitational Hartree equation in three dimensions

On soliton clusters and collision blow up for the $L^{2}$ -critical Hartree equation

Multisoliton solutions and blow up for the $L^{2}$ -critical Hartree equation