12 citations · 23 across the 8 of their papers we have counts for
8 papers
Inhomogeneous six-wave kinetic equation in exponentially weighted spaces
Nataša Pavlović, Maja Tasković, Luisa Velasco
Six-wave interactions are used for modeling various physical systems, including in optical wave turbulence [16] (where a cascade of photons displays this kind of behavior) and in q…
Inhomogeneous wave kinetic equation and its hierarchy in polynomially weighted spaces
Ioakeim Ampatzoglou, Joseph K. Miller, Nataša Pavlović +1
Inspired by ideas stemming from the analysis of the Boltzmann equation, in this paper we expand well-posedness theory of the spatially inhomogeneous 4-wave kinetic equation, and al…
On the global in time existence and uniqueness of solutions to the Boltzmann hierarchy
Ioakeim Ampatzoglou, Joseph K. Miller, Nataša Pavlović +1
In this paper we establish the global in time existence and uniqueness of solutions to the Boltzmann hierarchy, a hierarchy of equations instrumental for the rigorous derivation of…
Moment estimates and well-posedness of the binary-ternary Boltzmann equation
Ioakeim Ampatzoglou, Irene M. Gamba, Nataša Pavlović +1
In this paper, we show generation and propagation of polynomial and exponential moments, as well as global well-posedness of the homogeneous binary-ternary Boltzmann equation. We a…
Entropy dissipation estimates for the relativistic Landau equation, and applications
Robert M. Strain, Maja Tasković
In this paper we study the Cauchy problem for the spatially homogeneous relativistic Landau equation with Coulomb interactions. Despite it's physical importance, this equation has…
Exponentially-tailed regularity and time asymptotic for the homogeneous Boltzmann equation
Ricardo Alonso, Irene M. Gamba, Maja Tasković
We present in this document the Lebesgue and Sobolev propagation of exponential tails for solutions of the homogeneous Boltzmann equation for hard and Maxwell interactions. In addi…
Propagation of stretched exponential moments for the Kac equation and Boltzmann equation with Maxwell molecules
Milana Pavić-Čolić, Maja Tasković
We study the spatially homogeneous Boltzmann equation for Maxwell molecules, and its -dimensional model, the Kac equation. We prove propagation in time of stretched exponential…
On dispersive blow-ups for the nonlinear Schrödinger equation
Younghun Hong, Maja Tasković
In this article, we provide a simple method for constructing dispersive blow-up solutions to the nonlinear Schrödinger equation. Our construction mainly follows the approach in Bon…