An Example of Self-Acceleration for Incompressible Flows



Document title: An Example of Self-Acceleration for Incompressible Flows
Journal: Boletim da Sociedade Paranaense de Matematica
Database: PERIÓDICA
System number: 000365959
ISSN: 0037-8712
Authors: 1
1
Institutions: 1University of New Mexico, Department of Mathematics and Statistics, Albuquerque, Nuevo México. Estados Unidos de América
Year:
Volumen: 31
Number: 2
Pages: 149-159
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Experimental, analítico
English abstract In this paper we consider the Cauchy problem for the unforced Euler and Navier–Stokes equations for incompressible flows. We give an example of a smooth initial velocity field of finite energy which is self–accelerating, i.e., the maxi- mal speed increases for some time. The self–acceleration is due to the non–Bernoulli part of the pressure generated by the velocity field
Disciplines: Matemáticas
Keyword: Matemáticas aplicadas,
Flujo incomprensible,
Ecuaciones de Euler,
Autoaceleleración,
Ecuaciones de Navier-Stokes
Keyword: Mathematics,
Applied mathematics,
Incompressible flow,
Euler equations,
Self-acceleration,
Navier-Stokes equations
Full text: Texto completo (Ver PDF)