RESEARCH
Preprints:
A. Castro & D. Lear. Time periodic solutions for the 2D Euler equation near Taylor-Couette flow
Publications:
Here you can find titles and links to my recent work:
A. Castro & D. Lear. Traveling waves near Couette flow for the 2D Euler equation. Comm. Math. Phys. (2023)
D.Lear. Global existence and limiting behavior of unidirectional flocks for the fractional Euler Alignment system. SIAM J. Math. Anal. (2023)
D.Lear, D. Reynolds & R. Shvydkoy. Global solutions to multi-dimensional topological Euler Alignment systems. Annals of PDE (2022)
D.Lear, T.Leslie, R. Shvydkoy & E.Tadmor. Geometric structure of mass concentration sets for pressureless EAS. Adv. Math (2022).
D.Lear, D. Reynolds & R. Shvydkoy. Grassmannian reduction of Cucker-Smale systems and application to opinion dynamics. DCDS-A (2021)
D.Lear. On the non-diffusive Magneto-Geostrophic equation. JMFM (2021)
D.Lear & R. Shvydkoy. Unidirectional flocks in hydrodynamic Euler Alignment system II: Singular models. Comm. Math. Sci. (2020)
D.Lear & R. Shvydkoy. Existence and stability of unidirectional flocks in hydrodynamic Euler Alignment systems. Analysis & PDE (2020)
A.Castro, D.Córdoba & D.Lear. Asymptotic stability of stratified solutions for 2D Boussinesq with a velocity damping term. M3AS. (2019)
A.Castro, D.Córdoba & D.Lear. Global existence of quasi-stratified solutions for the confined IPM equation. ARMA (2019)