INTEGRAL FORMULATION OF 3D NAVIER–STOKES AND LONGER TIME EXISTENCE OF SMOOTH SOLUTIONS

DOI10.1142/S021919971100435XzbMath1225.35163arXiv0808.3721OpenAlexW2963963300MaRDI QIDQ3013897

Guo Luo, Saleh Tanveer, Ovidiu Costin

Publication date: 19 July 2011

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.3721

zbMATH Keywords

PDENavier-StokesBorel summability

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Abel, Borel and power series methods (40G10)

Related Items (2)

Uniformization and constructive analytic continuation of Taylor series ⋮ Existence, uniqueness, analyticity, and Borel summability for Boussinesq equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gevrey class regularity for the solutions of the Navier-Stokes equations
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• Note on loss of regularity for solutions of the 3-D incompressible Euler and related equations
• From divergent power series to analytic functions. Theory and application of multisummable power series
• Space analyticity for the Navier-Stokes and related equations with initial data in \(L^p\)
• On Borel summation and Stokes phenomena for rank-\(1\) nonlinear systems of ordinary differential equations
• Nonlinear evolution PDEs in \(\mathbb R^+ \times \mathbb C^d\): existence and uniqueness of solutions, asymptotic and Borel summability properties
• A quantitative formulation of the global regularity problem for the periodic Navier-Stokes equation
• Un teorema di unicita per le equazioni di Navier-Stokes
• Short Time Existence and Borel Summability in the Navier–Stokes Equation in ℝ³
• Exponential decay rate of the power spectrum for solutions of the Navier–Stokes equations
• Partial regularity of suitable weak solutions of the navier-stokes equations
• L_3,∞-solutions of the Navier-Stokes equations and backward uniqueness
• Applied Analysis of the Navier-Stokes Equations
• Divergent expansion, Borel summability and three-dimensional Navier–Stokes equation

This page was built for publication: INTEGRAL FORMULATION OF 3D NAVIER–STOKES AND LONGER TIME EXISTENCE OF SMOOTH SOLUTIONS