2 citations · 7 across the 8 of their papers we have counts for
9 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…
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…
A rigorous derivation of the Hamiltonian structure for the Vlasov equation
Joseph K. Miller, Andrea R. Nahmod, Nataša Pavlović +2
We consider the Vlasov equation in any spatial dimension, which has long been known to be an infinite-dimensional Hamiltonian system whose bracket structure is of Lie-Poisson type.…
A Rigorous Derivation of a Boltzmann System for a Mixture of Hard-Sphere Gases
Ioakeim Ampatzoglou, Joseph K. Miller, Nataša Pavlović
In this paper, we rigorously derive a Boltzmann equation for mixtures from the many body dynamics of two types of hard sphere gases. We prove that the microscopic dynamics of two g…
Poisson Commuting Energies for a System of Infinitely Many Bosons
Dana Mendelson, Andrea R. Nahmod, Nataša Pavlović +2
We consider the cubic Gross-Pitaevskii (GP) hierarchy in one spatial dimension. We establish the existence of an infinite sequence of observables such that the corresponding trace…
A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schrödinger Equation
Dana Mendelson, Andrea R. Nahmod, Nataša Pavlović +2
We consider the cubic nonlinear Schrödinger equation (NLS) in any spatial dimension, which is a well-known example of an infinite-dimensional Hamiltonian system. Inspired by the kn…
An infinite sequence of conserved quantities for the cubic Gross-Pitaevskii hierarchy on
Dana Mendelson, Andrea Nahmod, Nataša Pavlović +1
We consider the (de)focusing cubic Gross-Pitaevskii (GP) hierarchy on , which is an infinite hierarchy of coupled linear inhomogeneous PDE which appears in the derivati…
Regularity of solutions to the Navier-Stokes equations evolving from small data in BMO^{-1}
Pierre Germain, Nataša Pavlović, Gigliola Staffilani
In 2001, H. Koch and D. Tataru proved the existence of global in time solutions to the incompressible Navier-Stokes equations in for initial data small enough in $…