A Few Papers
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Some open problems and research directions in the mathematical
study of fluid dynamics pdf ps
dvi
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An Eulerian-Lagrangian Approach for Incompressible
Fluids: Local Theory pdf ps
dvi
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The Euler Equations and Non-Local Conservative Riccati
Equations pdf ps
dvi
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An Eulerian-Lagrangian approach to the Navier-Stokes
equations pdf ps
dvi
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Variational Bounds in Turbulent Convection pdf
ps dvi
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Bounds for Turbulent Transport pdf
ps dvi
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PC, C. Hallstrom, V. Poutkaradze, Logarithmic Bounds for Infinite Prandtl Number Rotating
Convection pdf ps
dvi
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C. Doering, P.C., On upper bounds for infinite Prandtl number convection
with or without rotation pdf ps dvi
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P.C., A. Kiselev, L. Ryzhik, Quenching of flames by fluid advection pdf
ps dvi
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P.C., A. Kiselev, A. Oberman, L. Ryzhik Bulk burning rate in passive-reactive
diffusion
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Filtered Viscous Fluid Equations pdf ps
dvi
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P.C., D. Cordoba, J. Wu, On the critical dissipative quasi-geostrophic equation pdf ps
dvi
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Near identity transformations for the Navier-Stokes
equations pdf ps
dvi
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Transport in Rotating Fluids pdf ps
dvi
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Energy Spectrum of Quasi-Geostrophic Turbulence pdf ps
dvi
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P.C., A. Kiselev, L. Ryzhik, Fronts in reactive convection: bounds, stability and instability pdf ps
dvi
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N. Vladimirova, P.C., A. Kiselev, O. Ruchayskiy, L. Ryzhik, Flame enhancement
and quenching in fluid flows ps
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C.I.M.E. Lectures 03 pdf , ps
, dvi
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P.C., Y. Kevrekidis, E. S. Titi, Remarks on a Smoluchowski equation pdf ps
dvi
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P.C., Y. Kevrekidis, E. S. Titi, Asymptotic states a Smoluchowski equation pdf ps
dvi
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K. Ohkitani, P.C., Numerical study of the Eulerian-Lagrangian formulation of the Navier-Stokes equations pdf
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P.C. E. S. Titi, J. Vukadinovic, Dissipativity and Gevrey regularity of a Smoluchowski equation pdf ps dvi
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P.C., J. Vukadinovic, Note on the number of steady states for a 2D Smoluchowski equation pdf ps dvi
- H. Berestycki, P.C., L. Ryzhik, Non-planar fronts in Boussinesq reactive flows, pdf ps dvi
- Nonlinear Fokker-Planck Navier-Stokes Systems pdf ps dvi
- P.C., A. Kiselev, L. Ryzhik, A. Zlatos, Diffusion and Mixing in Fluid Flow pdf ps dvi
- P.C., B. Levant, E.S. Titi, Analytic study of shell models of turbulence,
pdf ps dvi
- P.C., G. Iyer, A Stochastic Lagrangian Representation of 3-Dimensional Incompressible Navier-Stokes Equations, pdf ps dvi
- Smoluchowski Navier-Stokes Systems, pdf ps dvi
- P.C., C. Fefferman, E. Titi, A. Zarnescu,
Regularity for coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systems, pdf ps dvi
- P.C., M. Lewicka, L. Ryzhik,
Traveling waves in 2D reactive Boussinesq systems with no-slip boundary conditions, pdf dvi
- P.C., K. Domelevo, J-M. Roquejoffre, L. Ryzhik, Existence of
pulsating waves in a model of flames in sprays, pdf
- S. Chernyshenko, P.C., J. Robinson, E. Titi, A posteriori regularity
of the 3D Navier-Stokes equations from numerical computations, pdf
- P.C. B. Levant, E. Titi, A note on the regularity of inviscid shell models
of turbulence, pdf
- Generalized relative entropies and stochastic representation, pdf
- P.C., G. Iyer, Stochastic Lagrangian transport and generalized relative entropies , pdf
- P.C., F. Ramos, Inviscid limit for damped and driven incompressible Navier-Stokes equations in ${{\mathbb R}^2}$ , pdf
- P.C., J. Wu, Regularity of Holder continuous solutions of the supercritical quasi-geostrophic equation, pdf
- P.C., J. Wu, Holder continuity of solutions of supercritical dissipative hydrodynamic transport equations, pdf
- P.C., N. Masmoudi, Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D, pdf
- P.C., A. Novikov, L. Ryzhik, Relaxation in reactive flows, pdf
- P. C., B. Levant, E. Titi, Sharp lower bounds for the dimension of the global attractor of the sabra shell model of turbulence, .ps
- A. Cheskidov, P.C., S. Friedlander, R. Shvydkoy, Energy conservation and Onsager's conjecture for the Euler equations .pdf
- On the Euler equations of incompressible fluids, .pdf
- K. Ohkitani, P.C., Numerical study on the Eulerian-Lagrangian analysis of Navier-Stokes turbulence, .pdf
- Singular, weak and absent: solutions of the Euler equations, .pdf
- R. T. Fisher, L.P Kadanoff, D.Q. Lamb, A. Dubey, T. Plewa, A. Calder, F. Cattaneo, P. Constantin, I. Foster, M. E. Papka, S.I. Abarzhi, S. M. Asida, P. M. Rich, C. C. Glendening, K. Antypas, D. J. Sheeker, L. B. Reid, B. Gallagher and s.G. Needham, Terascale turbulence computation using the FLASH3 application framework on the IBM Blue Gene L system, .pdf