11 citations · 23 across the 7 of their papers we have counts for
Showing 2006 · math.APShow all
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math.AP2006★ 4 cited
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…
math.AP2006
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…
math.AP2006★ 2 cited
Complex Singularity Analysis for a nonlinear PDE
O. Costin, S. Tanveer
We introduce a method of rigorous analysis of the location and type of complex singularities for nonlinear higher order PDEs as a function of the initial data. The method is applie…