212 citations · 848 across the 74 of their papers we have counts for
4 papers · 2 filters
Borel summability of Navier-Stokes equation in and small time existence
O. Costin, S. Tanveer
We consider the Navier-Stokes initial value problem, $$v_t - \nabla v = -\mathcal{P} [ v \cdot \nabla v \right ] + f, v(x, 0) = v_0 (x), x \in \mathbb{R}^3 $$ where i…
Ionization of Coulomb systems in $\RR^3$ by time periodic forcings of arbitrary size
O. Costin, J. L. Lebowitz, S. Tanveer
We analyze the long time behavior of solutions of the Schrödinger equation , $x\in\RR^3$, , describing a Coulomb system subjected to a spatially compa…
Analyzability in the context of PDEs and applications
O. Costin, S. Tanveer
We discuss the notions of resurgence, formalizability, and formation of singularities in the context of partial differential equations. The results show that Ecalle's how analyzabi…
Nonlinear evolution PDEs in R^+ \times C^d: existence and uniqueness of solutions, asymptotic and Borel summability
O. Costin, S. Tanveer
We consider a system of -th order nonlinear quasilinear partial differential equations of the form $${\bf u}_t + \mathcal{P}(\partial_{\bf x}^{\bf j}){\bf u}+{\bf g} \left( {\bf…