240 citations
- University of ChicagoUS4 papers
- University of MichiganUS4 papers
- University of WashingtonUS4 papers
- Brookhaven National LaboratoryUS3 papers
- Centre National de la Recherche ScientifiqueFR3 papers
- Hebrew University of JerusalemIL2 papers
- Lomonosov Moscow State UniversityRU2 papers
- Northwestern UniversityUS2 papers
- RIKEN BNL Research CenterUS2 papers
- Rutgers, The State University of New JerseyUS2 papers
- Université Grenoble AlpesFR2 papers
- Université Paris-SaclayFR2 papers
6 papers · 1 filter
On the energy of inviscid singular flows
Roman Shvydkoy
It is known that the energy of a weak solution to the Euler equation is conserved if it is slightly more regular than the Besov space . When the singular set of…
The unstable spectrum of the Navier-Stokes operator in the limit of vanishing viscosity
Roman Shvydkoy, Susan Friedlander
A general class of linear advective PDEs, whose leading order term is of viscous dissipative type, is considered. It is proved that beyond the limit of the essential spectrum of th…
Analyticity for Singular Sums of Squares of Degenerate Vector Fields
David S. Tartakoff
In this paper we prove local analytic hypoellipticity for a degenerate sum of squares of complex vector fields generalizing those of Kohn in "Hypoellipticity and Loss of Derivative…
Geometrical Optics Approach to Markov-Modulated Fluid Models
Diego Dominici, Charles Knessl
We analyze asymptotically a differential-difference equation, that arises in a Markov-modulated fluid model. Here there are N identical sources that turn "on" and "off", and when "…
Local Real Analyticity of Solutions for sums of squares of non-linear vector fields
David S. Tartakoff, Luisa Zanghirati
We show that all smooth solutions of model non-linear sums of squares of vector fields are locally real analytic. A global result for more general operators is presented in a paper…
Global Analytic Hypoellipticity for a Class of Quasilinear Sums of Squares of Vector Fields
Makhlouf Derridj, David S. Tartakoff
A global real analytic regularity theorem for a quasilinear sum of squares of vector fields of Hormander rank 2 is given. A related local result for a special case was proved recen…