We prove local in time well-posedness for the Zakharov system in two space dimensions
with large initial data in L 2× H− 1/2× H− 3/2. This is the space of optimal regularity in the …

We study the time evolution of the Nelson model in a mean-field limit in which N
nonrelativistic bosons weakly couple (with respect to the particle number) to a positive or …

On the radius of spatial analyticity for the 1d Dirac–Klein–Gordon equations - ScienceDirect
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We construct approximate solutions $(\psi_*, n_*) $ of the critical 4D Zakharov system which
collapse in finite time to a singular renormalization of the solitary bulk solutions $(\lambda …

We prove the invariance of the Gibbs measure for the periodic Schrödinger–Benjamin–Ono
system (when the coupling parameter |γ|\neq0,1) by establishing a new local well …

This paper studies the derivation of the nonlinear system of Schrödinger--Klein--Gordon (S-
KG) equations, coupled by a Yukawa-type interaction, from a microscopic quantum field …

We consider the Zakharov system with periodic boundary conditions in dimension one. In
the first part of the paper, it is shown that for fixed initial data in a Sobolev space, the …

We investigate the low regularity local and global well-posedness of the Cauchy problem for
the coupled Klein-Gordon-Schrödinger system with fractional Laplacian in the Schrödinger …

We propose and analyze a type of low-regularity exponential-type integrators (LREIs) for the
Zakharov system (ZS) with rough solutions. Our LREIs include a first-order integrator and a …

In this paper, we study the quantum Zakharov system, which describes the nonlinear
interaction between the quantum Langmuir and quantum ion-acoustic waves. The global …