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Mathematics > Analysis of PDEs

Title: On the Smooth Curve of Entire Vector Fields that Solves the Navier-Stokes Equation

Authors: Brian David Vasquez Campos
(Submitted on 13 May 2024 (v1), last revised 16 May 2024 (this version, v2))
Abstract: In this paper we prove the existence and smoothness of the Navier-Stokes Equation for viscosity large enough which after rescaling implies a solution for any positive viscosity, additionally, we show the existence of a curve of entire vector fields of order 2 that extends the solution to the complex domain for positive time.
Subjects: Analysis of PDEs (math.AP); Complex Variables (math.CV); Functional Analysis (math.FA)
Cite as: arXiv:2405.07929 [math.AP]
  (or arXiv:2405.07929v2 [math.AP] for this version)

Submission history

From: Brian Vasquez [view email]
[v1] Mon, 13 May 2024 17:01:26 GMT (32kb)
[v2] Thu, 16 May 2024 11:34:27 GMT (32kb)
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