Addendum to the paper: ‘‘Existence of weak solutions for the Navier-Stokes equations with initial data in $L\sp p$” [Trans.\ Amer.\ Math.\ Soc.\ {\bf 318} (1990), no.\ 1, 179–200; MR0968416 (90k:35199)]
نویسندگان
چکیده
منابع مشابه
On the Existence of Finite Energy Weak Solutions to the Navier-Stokes Equations in Irregular Domains
This paper studies the existence of weak solutions of the Navier-Stokes system defined on a certain class of domains in R3 that may contains cusps. The concept of such domain and weak energy solution for such system is defined and its existence is proved. However, thinness of cusps is related with adiabatic constant of the pressure. Introduction We prove the global existence of weak solutions o...
متن کاملOn global weak solutions to the Cauchy problem for the Navier-Stokes equations with large L3-initial data
The aim of the note is to discuss different definitions of solutions to the Cauchy problem for the Navier-Stokes equations with the initial data belonging to the Lebesgue space L3(R 3) Dedicated to Professor Nicola Fusco on the occasion of his 60th birthday.
متن کاملGlobal existence of weak and classical solutions for the Navier–Stokes–Vlasov–Fokker–Planck equations
a r t i c l e i n f o a b s t r a c t We consider a system coupling the incompressible Navier–Stokes equations to the Vlasov–Fokker–Planck equation. The coupling arises from a drag force exerted by each other. We establish existence of global weak solutions for the system in two and three dimensions. Furthermore, we obtain the existence and uniqueness result of global smooth solutions for dimen...
متن کاملLagrangian Approximations and Weak Solutions of the Navier-Stokes Equations
The motion of a viscous incompressible fluid flow in bounded domains with a smooth boundary can be described by the nonlinear Navier-Stokes equations. This description corresponds to the so-called Eulerian approach. We develop a new approximation method for the Navier-Stokes equations in both the stationary and the non-stationary case by a suitable coupling of the Eulerian and the Lagrangian re...
متن کاملOptimization with the time-dependent Navier-Stokes equations as constraints
In this paper, optimal distributed control of the time-dependent Navier-Stokes equations is considered. The control problem involves the minimization of a measure of the distance between the velocity field and a given target velocity field. A mixed numerical method involving a quasi-Newton algorithm, a novel calculation of the gradients and an inhomogeneous Navier-Stokes solver, to find the opt...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1990
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-1990-1018571-1