Author

F. Pusateri

3 papers indexed here

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Preprint Oct 2026

Local well-posedness of wave kinetic equations associated with water waves

We prove two conceptually different local well-posedness results for wave kinetic equations associated with water-wave systems. For pure gravity waves with 2D interfaces, we establish a classical well-posedness theory in weighted Sobolev spaces: regularity is propagated, and solutions depend continuously on the initial...

Yu Deng, A. Ionescu, F. Pusateri · 0 citations

Preprint Oct 2026

Global dynamics for the 1d quartic Klein-Gordon equation with an internal mode

We study a one dimensional nonlinear Klein-Gordon equation with a potential, a localized quadratic nonlinearity, and a non-localized quartic nonlinearity. We assume that the linearized operator has a single discrete eigenvalue below the continuous spectrum, corresponding to an''internal mode''. This eigenvalue generate...

Chen Gong, Gael Y. Diebou, Adilbek Kairzhan et al. · 0 citations

Preprint Aug 2026

Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Linear Theory

We study the linearized dynamics near the degree-one vortex of the $(1+2)$-dimensional abelian Yang-Mills-Higgs model at the self-dual coupling, restricted to equivariant perturbations in the orthogonal gauge. The linearized operator is a selfadjoint matrix Schr\"odinger operator $\mathbf{M}$ on radial $L^2_{\mathrm{ra...

J. Luhrmann, J. M. Palacios, F. Pusateri et al. · 0 citations