[PDF] Top 20 An Introduction to the Navier-Stokes Initial-Boundary Value Problem
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An Introduction to the Navier-Stokes Initial-Boundary Value Problem
... Remark 5.8 Theorem 5.2(i), for was proved for the first time by Leray (1934b, pp. 224-227), while for , , and it is due to Fabes, Jones and Riviere (1972); see also Fabes, Lewis and Riviere (1977a, 1977b). Sohr (1983) ... See full document
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Nonhomogeneous boundary value problem for (I,J) similar solutions of incompressible two dimensional Euler equations
... blow-up problem of the compressible Navier-Stokes equation has been established by Xin (see ...multidimensional Navier- Stokes equation for polytropic fluids in the absence of heat ... See full document
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Numerical Solution Techniques for the Steady Incompressible Navier-Stokes Problem
... To explain how the minimum size of the first level must be chosen we consider a 2 × 2 Q2-Q1, Taylor-Hood ele- ment subdivision of a square shown in Figure (2). If all the velocities at the boundary are prescribed, ... See full document
6
Optimal dirichlet control and inhomogeneous boundary value problems for the unsteady Navier-Stokes equations
... linearized Navier- Stokes equations with coefficients w( t ...control problem in a class of sufficiently smooth func- ...inhomogeneous boundary value problems for the ... See full document
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Preconditioners for the Steady Incompressible Navier-Stokes Problem
... To explain how the minimum size of the first level must be chosen we consider a 2 × 2 Q2-Q1, Taylor-Hood ele- ment subdivision of a square shown in Figure (2). If all the velocities at the boundary are prescribed, ... See full document
10
Global behavior of 1D compressible isentropic Navier-Stokes equations with a non-autonomous external force
... free boundary problem for compressible Navier-Stokes equations with density-dependent viscosity and a non-autonomous external ...the initial data and external force f , we obtain the ... See full document
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Existence and Uniqueness of the Navier-Stokes Problem for Compressible Flows
... the Navier-Stokes problem for compressible flows. The initial value problem (1)-(2) concerns with the fundamental solution of Poisson and heat conduction ... See full document
6
Nonlocal Navier-Stokes problem with a small parameter
... classical Navier-Stokes problems were extensively studied, ...the initial value problem for the Navier-Stokes equation ( see, ...summable initial velocity when n = ... See full document
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On the free boundary value problem for one-dimensional compressible Navier-Stokes equations with constant exterior pressure
... free boundary value problem to one-dimensional isentropic compressible Navier-Stokes equations with density-dependent viscosity coef- ficient for regular initial data in the case ... See full document
15
the Navier-Stokes problem and
... The Navier-Stokes equations have been the basis for description and analysis of all turbulent phenomena and eexperimental selection of the regime turbulent fluctuation is costly and not always realizable ... See full document
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Navier-Stokes computation of some gas mixture problemsin the slip flow regime
... obtained without the rareed boundary conditions (i.e., with no-slip/no-temperature jump conditions) are also provided for comparison. Obviously, in all of the current cases, the centerline Mach number increases ... See full document
9
Global Estimation of the Cauchy Problem Solutions’ the Navier Stokes Equation
... It is interesting to study the properties of the Fourier transform of solutions of the Navier-Stokes equations. Of particular interest is how they can be used in the description of turbulence, and whether ... See full document
9
Global existence of solutions and energy decay for a Kirchhoff type equation with nonlinear dissipation
... In this paper, we prove the global existence for the problem (.)-(.) by applying the po- tential well theory introduced by Sattinger [] and Payne and Sattinger []. Meanwhile, we obtain the asymptotic ... See full document
10
Stability of noncharacteristic boundary-layers for the compressible nonisentropic Navier-Stokes equations
... These boundary conditions correspond to the situation of an airfoil with microscopic holes through which gas is pumped from the surrounding flow, the microscopic suction imposing a fixed normal velocity while the ... See full document
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Stabilized finite volume element method for the 2D nonlinear incompressible viscoelastic flow equation
... Remark As a matter of fact, () together with () constitute a system of error equations between the SMFE format and the time semi-discretized format of the time- dependent Navier-Stokes problems. ... See full document
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Initial boundary value problem with a nonlocal condition for a viscosity equation
... In this paper, the existence, uniqueness, and continuous dependence of a strong solution upon the data of problem (1.1), (1.2), (1.3), and (1.4) are demonstrated. We use a functional analysis method based on an ... See full document
12
The initial boundary value problem of a mixed typed hemivariational inequality
... and boundary or external constraints lead to various typed hemivariational inequalities, the mixed hyperbolic-parabolic hemivariational inequality is one of those [11, 12, ... See full document
10
Analytical solutions to the 3-D compressible Navier-Stokes equations with free boundaries
... symmetric initial data and fixed boundary conditions, and later Guo et ...symmetric initial data ...symmetric initial data between a solid core and a free boundary connected to a ... See full document
15
Navier Stokes Equations—Millennium Prize Problems
... Tf = T + + T − f (11) Consider the Riemann problem of finding a function Φ , that is analytic in the complex plane with a cut along the real axis. Values of Φ on the upper and lower sides of the cut are denoted Φ ... See full document
13
Unique Measure for the Time Periodic Navier Stokes on the Sphere Navier Stokes on the Sphere
... the Navier-Stokes equations has been the subject of much recent ...the Navier-Stokes system on the torus (bounded domains with smooth boundaries and periodic boundary conditions) has a ... See full document
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