78 citations · 439 across the 27 of their papers we have counts for
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Rigorous derivation of a binary-ternary Boltzmann equation for a dense gas of hard spheres
Ioakeim Ampatzoglou, Natasa Pavlovic
This paper provides the first rigorous derivation of a binary-ternary Boltzmann equation describing the kinetic properties of a dense hard-spheres gas, where particles undergo eith…
Global well-posedness of a binary-ternary Boltzmann equation
Ioakeim Ampatzoglou, Irene M. Gamba, Natasa Pavlovic +1
In this paper we show global well-posedness near vacuum for the binary-ternary Boltzmann equation. The binary-ternary Boltzmann equation provides a correction term to the classical…
Small data global well-posedness for a Boltzmann equation via bilinear spacetime estimates
Thomas Chen, Ryan Denlinger, Nataša Pavlović
We provide a new analysis of the Boltzmann equation with constant collision kernel in two space dimensions. The scaling-critical Lebesgue space is ; we prove global well…
Rigorous derivation of a ternary Boltzmann equation for a classical system of particles
Ioakeim Ampatzoglou, Natasa Pavlovic
In this paper, we present a rigorous derivation of a new kinetic equation describing the limiting behavior of a classical system of particles with three particle elastic instantane…
Moments and Regularity for a Boltzmann Equation via Wigner Transform
Thomas Chen, Ryan Denlinger, Natasa Pavlovic
In this paper, we continue our study of the Boltzmann equation by use of tools originating from the analysis of dispersive equations in quantum dynamics. Specifically, we focus on…
Global Flows with Invariant Measures for the Inviscid Modified SQG Equations
Andrea Nahmod, Natasa Pavlovic, Gigliola Staffilani +1
We consider the family known as modified or generalized surface quasi-geostrophic equations (mSQG) consisting of the classical inviscid surface quasi-geostrophic (SQG) equation tog…