18 citations · 18 across the 4 of their papers we have counts for
4 papers
Well-posedness and invariant measures for complex valued modified KdV equation
Carlos E. Kenig, Andrea R. Nahmod, Nataša Pavlović +2
We consider the one dimensional periodic complex valued mKdV, which corresponds to the first equation above cubic NLS in the associated integrable hierarchy. Our main result is the…
Derivation of the Higher Order Boltzmann Equation for Hard Spheres
Ioakeim Ampatzoglou, Nataša Pavlović, William Warner
In this paper we complete the program initiated by the first and second authors and rigorously derive a Boltzmann-type equation that incorporates higher order collisions among gas…
Derivation of a Boltzmann equation with higher-order collisions from a generalized Kac model
Esteban Cárdenas, Nataša Pavlović, William Warner
In this work, we generalize M. Kac's original many-particle binary stochastic model to derive a space homogeneous Boltzmann equation that includes a linear combination of higher-or…
Ill-posedness of the Navier-Stokes equations in a critical space in 3D
Jean Bourgain, Nataša Pavlović
We prove that the Cauchy problem for the three dimensional Navier-Stokes equations is ill posed in in the sense that a ``norm inflation'' happens in…