Short Time Existence and Borel Summability in the Navier–Stokes Equation in ℝ3
From MaRDI portal
Publication:3643214
DOI10.1080/03605300902892469zbMath1421.76053OpenAlexW1970252955MaRDI QIDQ3643214
Publication date: 10 November 2009
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605300902892469
Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Abel, Borel and power series methods (40G10)
Related Items (14)
On parametric multisummable formal solutions to some nonlinear initial value Cauchy problems ⋮ On parametric Gevrey asymptotics for some initial value problems in two asymmetric complex time variables ⋮ Performance of Borel-Padé-Laplace integrator for the solution of stiff and non-stiff problems ⋮ Double-scale Gevrey asymptotics for logarithmic type solutions to singularly perturbed linear initial value problems ⋮ On singularly perturbed linear initial value problems with mixed irregular and Fuchsian time singularities ⋮ Gevrey asymptotics for logarithmic-type solutions to singularly perturbed problems with nonlocal nonlinearities ⋮ Small divisors effects in some singularly perturbed initial value problem with irregular singularity ⋮ On parametric Gevrey asymptotics for some nonlinear initial value Cauchy problems ⋮ INTEGRAL FORMULATION OF 3D NAVIER–STOKES AND LONGER TIME EXISTENCE OF SMOOTH SOLUTIONS ⋮ On parametric multilevel \(q\)-Gevrey asymptotics for some linear \(q\)-difference-differential equations ⋮ Existence, uniqueness, analyticity, and Borel summability for Boussinesq equations ⋮ On Gevrey asymptotics for linear singularly perturbed equations with linear fractional transforms ⋮ On a partial \(q\)-analog of a singularly perturbed problem with Fuchsian and irregular time singularities ⋮ On the multiple-scale analysis for some linear partial \(q\)-difference and differential equations with holomorphic coefficients
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
- From divergent power series to analytic functions. Theory and application of multisummable power series
- 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
- Transseries for a class of nonlinear difference equations*
- Exponential decay rate of the power spectrum for solutions of the Navier–Stokes equations
This page was built for publication: Short Time Existence and Borel Summability in the Navier–Stokes Equation in ℝ3
