EXISTENCE OF STRONG MILD SOLUTION OF THE NAVIER-STOKES EQUATIONS IN THE HALF SPACE WITH NONDECAYING INITIAL DATA

Existence of Navier-stokes Flow in the Half Space with Non-decaying Initial Data

existence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types

بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی ‎‏بیان شد‎‎‏ه اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...

L2(Rn) estimate of the solution to the Navier-Stokes equations with linearly growth initial data

In this article, we consider the incompressible Navier-Stokes equations with linearly growing initial data U0 := u0(x) −Mx. Here M is an n × n matrix, trM = 0, M2 is symmetric and u0 ∈ L2(Rn) ∩ Ln(Rn). Under these conditions, we consider v(t) := u(t) − eu0, where u(x) := U(x) −Mx and U(x) is the mild solution of the incompressible Navier-Stokes equations with linearly growing initial data. We s...

Optimization 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...

Solution of the coupled Navier - Stokes equations

A selection of these reports is available in PostScript form at the Faculty's anonymous ftp-Abstract In this paper the incompressible Navier-Stokes equations are discretized by the nite element method. After linearization large, sparse systems of linear equations have to be solved. A well known problem is the occurrence of zero elements on the main diagonal. We describe ordering techniques of t...