ON THE CAUCHY PROBLEM OF NAVIER-STOKES FLOW

Journal Title: Journal of Science And Arts - Year 2009, Vol 10, Issue 1

Abstract

Consider the Cauchy semilinear problem of the Navier-Stokes flow of incompressible fluids - one of the Millenium Prize Problems. By standard arguments we can formulate the problem as an abstract equation and prove the existence and the uniqueness of the strong solution. The proof is constructive and it is based on the Fourier method developed in the energetical space of the Stokes operator (on the complete sequence of the eigenvectors of the duality map). Some open problems are also appended.

Authors and Affiliations

Silviu Sburlan

Keywords

Related Articles

ON AN INTEGRAL INEQUALITY

In this note we will present two proofs for an integral inequality. The first uses the Jensen’s Inequality and the second uses ingeniously the Cauchy-Schwartz Inequality.

OPTIMALITY IN NONDIFFERENTIAL MULTIOBJECTIVE PROGRAMMING

This paper is concerning on the multiobjective programming problem where the function involved are nondifferentiable. We present and prove the sufficient conditions for a feasible point to be weakly efficient. Our resear...

ANALYSIS OF BEAMFORMING FROM VARIOUS TRANSDUCER SHAPE

Medical ultrasound data suffers from blur caused by the volume expansion of the pressure field of the mechanical wave. This blur is dependent on the used excitation signal and focusing of the ultrasonic wave and can ther...

ANTIODIDANT AND RADIOPROTECTIVE FEATURES OF ROSEMARY (ROSMARINUS OFFICINALIS) EXTRACTS

Numerous studies have examined the radioprotective effects of antioxidant compounds, generally known like free radical scavengers, which protect cells from free radical damage. Various plant extracts have been investigat...

A NEW VISCOSITY-SHEAR RATE RELATIONSHIP FOR RAPESEED OIL

This article proposes four relationships of dynamic viscosity – shear rate dependence for vegetable oils. The purpose of this study was to find a exponential dependence between temperature and dynamic viscosity of vegeta...

Download PDF file
  • EP ID EP113246
  • DOI -
  • Views 242
  • Downloads 0

How To Cite

Silviu Sburlan (2009). ON THE CAUCHY PROBLEM OF NAVIER-STOKES FLOW. Journal of Science And Arts, 10(1), 11-17. https://europub.co.uk/articles/-A-113246