Papers and Preprints, 2010-2020
- P.C., G. Iyer, J. Wu, Global regularity for a modified quasi-geostrophic equation, .pdf
- The Onsager equation for corpora, .pdf
- P.C., A. Zlatos, On the zero temperature limit of interacting corpora,
.pdf
- P.C., G. Seregin, Holder Continuity of Solutions of 2D Navier-Stokes Equations with Singular Forcing, .pdf
- P.C., G. Seregin, Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations, .pdf
- P.C., G. Iyer, A stochastic-Lagrangian approach to the Navier-Stokes equations in domains with boundary, .pdf
- P.C., D. Cordoba, F. Gancedo, R. M. Strain, On the global existence for the Muskat problem .pdf
- P.C., W. Sun, Remarks on Oldroyd-B and related complex fluid models .pdf
- D. Chae, P.C., Jiahong Wu, Inviscid models generalizing the 2D Euler and the surface quasi-geostrophic equations .pdf
- D. Chae, P.C., Jiahong Wu, Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations .pdf
- D. Chae, P.C., Diego Cordoba, Francisco Gancedo, Jiahong Wu, Generalized surface quasi-geostrophic equations with singular velocities .pdf
- P.C., Vlad Vicol, Nonlinear maximum principles for dissipative linear nonlocal operators and applications .pdf
- P.C., Markus Kliegl, Note on global regularity for 2D Oldroyd-B fluids with diffusive stress .pdf
- P.C., Nathan Glatt-Holtz, Vlad Vicol, Unique Ergodicity for Fractionally Dissipated, Stochastically Forced 2D Euler Equations .pdf
- P.C., Andrei Tarfulea, Vlad Vicol, Absence of anomalous dissipation of energy in forced two dimensional fluid equations .pdf
- P.C., Andrei Tarfulea, Vlad Vicol, Long time dynamics of forced critical SQG .pdf
- P.C., Local formulas for the hydrodynamic pressure and applications
.pdf
- D. Chae, P.C. J. Wu, An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations
.pdf
- P. C., D. Cordoba, F. Gancedo, L. Rodriguez-Piazza, R. M. Strain, On the Muskat problem: global in time results in 2D and 3D .pdf
- P.C., I. Kukavica, V. Vicol, On the inviscid limit of the Navier-Stokes equations .pdf
- P.C., V. Vicol, J. Wu, Analyticity of Lagrangian trajectories for well posed inviscid incompressible fluid models .pdf
- D.Chae, P. C., Remarks on a Liouville-type theorem for Beltrami flows .pdf
- P.C., Lagrangian-Eulerian Methods for Uniqueness in Hydrodynamic Systems .pdf
- P.C., Farfield perturbations of vortex patches .pdf
- P.C., M. Coti Zelati, V. Vicol, Uniformly attracting limit sets for the
critically dissipative SQG equation .pdf
- P.C., I. Kukavica, V. Vicol, Contrast between Lagrangian and Eulerian regularity properties of Euler equations .pdf
- P.C., F. Gancedo, R. Shvydkoy, V. Vicol, Global regularity for 2D Muskat equations with finite slope .pdf
- P.C., M. Ignatova, Remarks on the fractional Laplacian with Dirichlet boundary conditions and applications .pdf
- P.C., Nonlocal nonlinear advection-diffusion equations .pdf
- P.C., T. Elgindi, M. Ignatova, V. Vicol, On some electroconvection models .pdf
- P.C., T. Elgindi, M. Ignatova, V. Vicol, Remarks on the inviscid limit for the Navier-Stokes equations for uniformly bounded velocity fields}
.pdf
- P.C., M. Ignatova, Critical SQG in bounded domains .pdf
- P.C., H.Q. Nguyen, Global weak solutions for SQG in bounded domains .pdf
- P.C., H.Q. Nguyen, Local and global strong solutions for SQG in bounded domains .pdf
- P.C., V. Vicol, Remarks on high Reynolds numbers hydrodynamics and the inviscid limit .pdf
- P.C., T. Elgindi, H.Q. Nguyen, V. Vicol, On singularity formation in a Hele-Shaw model, .pdf
- P.C., T. Drivas, H.Q. Nguyen, F. Pasqualotto, Compressible fluids and active potentials, .pdf
- P.C., M. Ignatova, H.Q. Nguyen, Inviscid limit for SQG in bounded domains, .pdf
- P.C., M. Lopes Filho, H. Nusenzveig-Lopes, V. Vicol, Vorticity measures and the inviscid limit], .pdf
- P.C., M. Ignatova, On the Nernst-Planck-Navier-Stokes system,
.pdf
- P.C., J. La, Note on Lagrangian-Eulerian Methods for Uniqueness in Hydrodynamic Systems .pdf
- P.C., J. La, V. Vicol, Remarks on a paper by Gavrilov: Grad-Shafranov equations, steady solutions of the three dimensional incompressible Euler equations with compactly supported velocities, and applications .pdf