fluids the navier stokes equation
Báo cáo hóa học: " Research Article Regularity Criterion for Weak Solutions to the Navier-Stokes Equations in Terms of the Gradient of the Pressure" docx
... the time-dependent Navier- Stokes equation, ” Proceedings of the Japan Academy, vol 36, no 5, pp 273–277, 1960 E B Fabes, B F Jones, and N M Riviere, The initial value problem for the Navier- Stokes ... weak solutions of the Navier- Stokes system,” Journal of Differential Equations, vol 62, no 2, pp 186–212, 1986 M Struwe, “On partial regularity results for the Navier- Stokes equations,” Communications ... for the Navier- Stokes equations in Rn ,” Chinese Annals of a Mathematics Series B, vol 16, no 4, pp 407–412, 1995 10 D Chae and J Lee, “Regularity criterion in terms of pressure for the Navier- Stokes...
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Đề tài " Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing " pdf
... NAVIER- STOKES EQUATIONS 1007 Applications to the stochastic 2D Navier- Stokes equations To state the general ergodic result for the two-dimensional Navier- Stokes equations, we begin by looking at the algebraic ... Introduction In this article, we investigate the ergodic properties of the 2D NavierStokes equations Recall that the Navier- Stokes equations describe the time evolution of an incompressible fluid ... and therefore k ∈ Z∞ This shows that Z∞ = Z0 and therefore completes the proof of Proposition 4.4 1011 ERGODICITY OF THE 2D NAVIER- STOKES EQUATIONS 4.2 Malliavin calculus and the Navier- Stokes...
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The immersed boundary method for the (2d) incompressible navier stokes equations LUANVAN TH s
... 8.2 The governing equation The Poiseuille flow can be described by the Navier- Stokes equations However, since the flow has some special properties, these equations can be simplified to yield the ... investigated the same problem in his PhD thesis [13] In the first chapter, the flow under consideration is described in detail and the governing equation is derived from the Navier- Stokes equations ... process governed by the Navier- Stokes/ Brinkman equations An extra (forcing) term in the Navier- Stokes 5.2 Discrete forcing approach 15 equations contains the permeability ( ) of the medium, i.e zero...
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The greens function for the initial boundary value problem of one dimensional navier stokes equation
... variables of these equations have different meaning The variables of the Navier- Stokes equations are thermodynamical parameters while the variables of the Boltzmann equations or the Broadwell ... the mathematicians This fact is somehow surprising considering the wide range of practical applications of the equations As a result, the study of the Navier- Stokes equations becomes one of the ... many others They can also be used to study the magnetohydrodynamics if been coupled with Maxwell equations However, the existence and the smoothness of the solutions to the Navier- Stokes equations...
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Greens function of 2 d compressible navier stokes equations on the half space
... two components One of them is called the diffusion wave, which is convolution of the heat kernel with the fundamental solution of the d’Alembert’s wave equation; the other is the pure diffusion, similar ... in the research of the pointwise structure of the fundamental solution in one dimensional Navier- Stokes equations are shown, which lead to results on nonlinear stability of the solution in the ... structure of the solutions to the compressible Navier- Stokes equations Previous studies that considered the existence and uniqueness of the equations with or without the presence of boundary conditions...
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Báo cáo hóa học: " Global behavior of 1D compressible isentropic Navier-Stokes equations with a non-autonomous external force" docx
... discontinuities, and the density of the gas has compact support Among them, Liu et al [4] established the local well-posedness of weak solutions to the Navier- Stokes equations; Okada et al [5] obtained the global ... expansion to the second order, and the viscosity coefficient is a function of temperature For the hard sphere model, it is proportional to the square-root of the temperature If we consider the isentropic ... H1 [0, 1]) (3:4) (3:5) The proof of Theorem 3.1 can be divided into the following several lemmas Lemma 3.2 Under the assumptions in Theorem 3.1, for any ≤ t ≤ T, we have the following estimates...
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Báo cáo toán học: " Remarks on uniform attractors for the 3D nonautonomous Navier-Stokes-Voight equations" pptx
... Navier- Stokes- Voight equations as an inviscid regularization of the 3D incompressible Navier- Stokes equations, and further obtained the existence of global attractors for Navier- Stokes- Voight equations ... incompressible Navier- Stokes equations have not yet completely resolved, so many mathematicians pay attention to this challenging problem In this regard, Kalantarov and Titi [9] investigated the Navier- Stokes- Voight ... incompressible Navier- Stokes system which is based on the works of Leray and Hopf Using the weak convergence topology of the space H (see below for the definition), Kapustyan and Valero [7] proved the existence...
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Báo cáo hóa học: " Remarks on uniform attractors for the 3D nonautonomous Navier-Stokes-Voight equations" ppt
... Navier- Stokes- Voight equations as an inviscid regularization of the 3D incompressible Navier- Stokes equations, and further obtained the existence of global attractors for Navier- Stokes- Voight equations ... incompressible Navier- Stokes equations have not yet completely resolved, so many mathematicians pay attention to this challenging problem In this regard, Kalantarov and Titi [9] investigated the Navier- Stokes- Voight ... incompressible Navier- Stokes system which is based on the works of Leray and Hopf Using the weak convergence topology of the space H (see below for the definition), Kapustyan and Valero [7] proved the existence...
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Numerical Solutions of the Black Scholes Equation
... as the grid becomes finer and finer, the difference equation converges to the partial differential equation we started with (the heat equation) , and not some other equation This may sound rather ... Numerical Solutions of the Black Scholes Equation The left-hand side of the heat equation, on the other hand, cannot be unambiguously approximated The following are some of the more common approximations, ... backward equation; therefore the binomial model is a graphical representation of the Kolmogorov equation r The explicit difference method was introduced to solve the Black Scholes equation r The Kolmogorov...
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Một số nghiên cứu về hệ phương trình g navier stokes hai chiều
... vic nghiờn cu h phng trỡnh g -Navier- Stokes, c bit l trng hp hai chiu: 10 H phng trỡnh g -Navier- Stokes hai chiu xut hin mt cỏch t nhiờn nghiờn cu h phng trỡnh Navier- Stokes ba chiu mng g = ì (0, ... trỡnh g -Navier- Stokes hai chiu s giỳp ớch cho vic nghiờn cu h phng trỡnh Navier- Stokes mng ba chiu (xem [54, 55]) V mt toỏn hc, h phng trỡnh ny l mt dng tng quỏt ca h phng trỡnh Navier- Stokes ... chuyn nhng kt qu ó bit i vi h phng trỡnh Navier- Stokes cho h phng trỡnh g -Navier- Stokes t nhng toỏn hc lớ thỳ Do ú nhng nm gn õy, h phng trỡnh g -Navier- Stokes ó c nhiu nh toỏn hc quan tõm nghiờn...
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Tài liệu Đề tài " Rough solutions of the Einstein-vacuum equations " docx
... behavior of these quantities relative to λ 1157 NONLINEAR WAVE EQUATIONS Theorem 4.5 (The asymptotics theorem) In the spacetime region D0 (see Theorem 3.4) the quantities b, Θ satisfy the following ... of the null structure equations Our work is divided in three parts In this paper we give all the details in the proof of the Main Theorem with the exception of those results which concern the ... of both the vanishing of the Ricci curvature of g and the wave coordinate condition (2) The other important new features are the use of energy estimates along the null hypersurfaces s−1 The derivatives...
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Đề tài " Sharp local wellposedness results for the nonlinear wave equation " pot
... estimate on the regularity of the solutions to the nonlinear equation, stated in Proposition 4.1 For the recursion argument to work, in addition to controlling the norm of the solution u in the Sobolev ... to the variation of the geodesic flow field as one moves from one null surface to another (other than using estimates which follow immediately from the regularity of the individual surfaces themselves.) ... obtained the conclusion of Theorem 1.2 in the case of the three dimensional vacuum Einstein equations, where the condition Ric = allows one to obtain some control over normal derivatives of the geodesic...
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marsden j.e., ratiu t.s., scheurle j. reduction theory and the lagrange-routh equations
... The Lagrange–Routh Equations We now put together the information on the structure of the two form βµ with the reduced equations in the previous section The Horizontal Equation We begin with the ... from the body, where k points upward and A is the element of SO(3) describing the current configuration of the body For a discussion of the Lie–Poisson nature of these equations on the dual of the ... x, v ) ˙ ¯ v ¯ Dt ∂¯ v ∂¯ v The first of these equations is the horizontal Lagrange–Poincar´ equation while the e second is the vertical Lagrange–Poincar´ equation The notation here is as follows...
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hệ phương trình navier stokes hai chiều
... simulate reasonably the wave processes of the waves in front of vertical walls as well as the wave pressures on the wall Keywords: Wave pressure, vertical wall, Navier- Stokes equations, non-uniform ... 2-D NAVIER- STOKES EQUATIONS Nguyen Danh Thao, Nguyen The Duy University of Technology, VNU-HCM ABSTRACT: This paper applies and develops a numerical model based on the two-dimensional vertical Navier- Stokes ... pressures at the wall are examined Numerical results of the present model are compared with laboratory data and with existing empirical and theoretical models The comparisons show that the model...
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Nghiệm kì dị tại một điểm cho phương trình navier stokes
... the Navier – Stokes equations, Comm Pure Appl Math 35 (1982), 771 – 837 [CP] M Cannone and F Planchon, Self – similar solutions for Navier – Stokes Equations in R3, Comm Patial Differential Equations ... similar solutions of the Navier – Stokes equations, IMA preprint, 1995 [RA] R A Adams, Sobolev Spaces, Academic Press, 1975 [CF] P Constantin and C Foias, Navier – Stokes equations, the University ... phương trình Navier – Stokes Các nghiệm lớp dòng chảy đối xứng theo trục Chúng cung cấp ansatz vô cực cho nghiệm kì dị phương trình Navier – Stokes toán bên cho phương trình Navier – Stokes dừng...
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Báo cáo hóa học: " Global attractor of the extended FisherKolmogorov equation in Hk spaces" pot
... Before the main result in this article is given, we show the following theorem, which provides the existence of global attractors of the extended Fisher-Kolmogorov equation (1.1) in H Theorem 3.1 The ... we shall use the regularity estimates for the linear semigroups, combining with the classical existence theorem of global attractors, to prove that the extended Fisher-Kolmogorov equation possesses, ... Lemma 2.3 This theorem follows from (3.3), (3.4), and Lemma 2.3 The main result in this article is given by the following theorem, which provides the existence of global attractors of the extended...
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báo cáo hóa học:" Research Article Existence and Nonexistence of Global Solutions of the Quasilinear Parabolic Equations with Inhomogeneous Terms" pot
... extension of the results of If we put σ these theorems, the same results as Theorem in are obtained in We will prove Theorem 1.1 a and b in Sections and 4, respectively The proof of Theorem 1.2 ... the other hand, 6–9 and so on study the inhomogeneous equations i.e., f x / ≡ in 1.1 Bandle et al study the case m 1, σ 0, and Zeng and Zhang study the case σ In this paper, we investigate the ... and Qi study the case m > 0, σ 0, Pinsky studies the case m 1, σ > −2, and Suzuki studies the case m ≥ 1, −∞ < σ < ∞ The following two results are proved by them: ∗ if p ≤ pm,σ , then every nontrivial...
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Báo cáo sinh học: " Research Article Global Optimal Regularity for the Parabolic Polyharmonic Equations" pptx
... finish the proof of the main result, Theorem 1.9 Just as , we will use the following two lemmas The first lemma is the following integral inequality Lemma 3.1 see Let φ ∈ Δ2 ∩ ∇2 , g ∈ Lφ Rn Then ... are ready to prove the main result, Theorem 1.9 Proof In the following by the elementary approximation argument as 3, 12 it is sufficient to consider the proof of 1.8 under the additional assumption ... Assume that φ is a Young function Then the Orlicz class K φ Rn is the set of all measurable functions g : Rn → R satisfying Rn φ g dx < ∞ The Orlicz space Lφ Rn is the linear hull of K φ Rn 1.14...
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báo cáo hóa học:" Research Article The Obstacle Problem for the A-Harmonic Equation" pot
... A-harmonic equation and the obstacle problems for differential forms which satisfy the A-harmonic equation, and the proof for the uniqueness of the solution to the obstacle problem of the A-harmonic equations ... also have some relations between the solution to Aharmonic equation and the solution to obstacle problem of A-harmonic equation We have the following two theorems Theorem 2.6 If a differential form ... Applications By Theorem 2.7, we can see that the solution u to the obstacle problem of 2.1 in K−∞,ρ Ω, Λl−1 is a solution of 2.1 in Ω Then by theorem, we can get the existence and uniqueness of the solution...
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