simplified form of the navier stokes equations

... regularity of 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, ” ... Applied Mathematics, vol 41, no 4, pp 437–458, 1988 6 Journal of Inequalities and Applications H Sohr and W von Wahl, “On the regularity of the pressure of weak solutions of Navier- Stokes equations, ” ... 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...

Ngày tải lên: 22/06/2014, 02:20

... ensure the ergodicity of the two dimensional Navier- Stokes equations To so, we employ information on the structure of the nonlinearity from [EM01] which was developed there to prove ergodicity of the ... 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 ... 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 are...

Ngày tải lên: 29/03/2014, 07:20

... FUNCTION OF 2-D COMPRESSIBLE NAVIER- STOKES EQUATIONS ON THE HALF SPACE ZHANG WEI (B.Sc., Fudan University) A THESIS SUBMITTED FOR THE DEGREE OF DOCTOR OF PHILOSOPHY DEPARTMENT OF MATHEMATICS ... 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 ... convolution of the heat kernel with the fundamental solution of the d’Alembert’s wave equation; the other is the pure diffusion, similar to solutions of ordinary heat equations Furthermore, in...

Ngày tải lên: 10/09/2015, 09:06

... (T) 0 ≤ C2 (T) The proof is complete Proof of Theorem 3.1 By Lemmas 3.2-3.3, Theorem 2.1 and Sobolev’s embedding theorem, we complete the proof of Theorem 3.1 Global existence of solutions in ... 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 existence of weak solutions when

Ngày tải lên: 20/06/2014, 22:20

... (depending on the IBMs used) The fraction of grid points that lie within the body is proportional to the ratio of the volume of the body to the volume of the bounding box, and therefore depends on the ... designates the class of boundary methods where the calculations are performed on a cartesian grid that does not conform to the shape of the body in the flow The boundary conditions on the body surface ... far is that their performance suffers at higher Reynolds numbers The spreading of the forcing by the smoothed distribution function undermines the local accuracy of the solution in the boundary...

Ngày tải lên: 11/07/2014, 23:20

Ngày tải lên: 26/12/2013, 01:18

... a snake.were / wouldn't want 14 My brother managed to kill the snake just at the time when I (be) almost exhausted If he (be) a little late, I (kill) by the snake.was / had been / would have ... a snake 14 My brother managed to kill the snake just at the time when I (be) had been almost exhausted If he (be) had been a little late, I (kill) would have been killed by the snake 15 Had I ... in a snake 14 My brother managed to kill the snake just at the time when I were almost exhausted If he had beena little late, I would have killed by the snake 15 Had I know you were ill, I (visit)would...

Ngày tải lên: 23/01/2014, 07:20

... but also the fact that they are themselves solutions to a similar system of equations This allowed us to improve the exponent s, needed √ in the proof of well-posedness of equations of type (6),8 ... of the Main Theorem with the exception of those results which concern the asymptotic properties of the Ricci coefficients (the Asymptotics Theorem), and the straightforward modifications of the ... desired in the proof of (93) The remaining term on the left-hand side of (93) is easier to treat Proof of the L2 − L∞ decay estimate; Theorem 2.1 In this section we rely on the Boundedness Theorem...

Ngày tải lên: 16/02/2014, 05:20

... in the main chain of the subunit, or in the interaction of subunits within the trimer that linked the conformation of residues 120–125 to the position of the active site lip and closure of the ... the dTTP complex to accommodate the 5-methyl group of the thymine moiety As a result, the Ala124 carbonyl was moved from the 4-oxo ⁄ 4-amino group of the bound nucleotide and the side chain of ... observation is that due to the proximity of residues 120–125 from each subunit in the centre of the trimer, the side chains of Val122 of one subunit and Thr123 of the neighbouring subunit are...

Ngày tải lên: 18/02/2014, 16:20

... Although the SH3 domain of Noxo1 participates in regulation of Nox3, the role of the PX domain in Nox3 activity remains unknown In the process of cloning of human Noxo1, some spliced transcripts of the ... presentation of domain structures of Noxo1 and the location of the five-amino-acid insertion in the PX domain SH3, Src-homology domain; PRR, proline-rich region (C) Sequence alignments of the PX domains of ... To compare the amounts of the two variants expressed in the testis, we performed the PCR using the primers ‘d’ and ‘c’, where the cDNAs for both Noxo1b and Noxo1c are amplified as the insert region...

Ngày tải lên: 19/02/2014, 06:20

... structure of the soluble form of CLIC4 the backbone and side chain of Asn34 and the side chain of Lys24 This crystal contact stabilizes the structure of the leading side of the foot loop The putative ... the side chain of Asn81 The intervening residues of the C-terminal extension interact with the neighboring monomer via hydrophobic contacts Comparison with the structure of the soluble form of ... reduction in the size of the protein, leaving a kDa fragment [4] This supports the hypothesis that the integral membrane form of the protein has a single transmembrane region near the N-terminus...

Ngày tải lên: 23/03/2014, 15:21

... [43] The present study further illustrates the importance of the eightpeptide sequence 57–64 in maintaining the inhibitory effect of the original 20-peptide aIIb 49–68 The N-terminal region of the ... that of the RGDS, used as a positive control (Table 1) We next investigated whether the above inhibitory effects of our peptides are a result of their interaction with the activated form of aIIbb3 ... were performed in the presence of PAC-1, a ligand-mimetic anti-aIIbb3 that contains the RYD sequence (an RGD mimic) in the CDR3 region of the heavy chain PAC-1 binds to the activated form of aIIbb3...

Ngày tải lên: 31/03/2014, 07:20

... °C The cells were then washed and reincubated with new medium for up to h at 37 °C The release of the 125I-label into the efflux medium from the cells was then assessed (Fig 7) The release of ... proportion of the 125I released (Fig 7A) may be derived from the diffusion of low Mr 125I from the cells In contrast, the slower release of 125I-Tf (Fig 7B) was consistent with the efflux of the 4442 ... of conjugates compared to free agents [49,50] It is possible that the use of the conjugate may enable the delivery of the agent to the lysosomal compartment that then results in degradation of...

Ngày tải lên: 31/03/2014, 09:20

... replication of LuIII Lt-Lt Parvovirus DNA replication starts when the 3' hydroxyl group at the left end of the viral genome primes the synthesis of a complementary strand, leading the formation of a ... interpretation of the data, participated in the idea and design of the models proposed and in the drafting and revision of the manuscript IDM collected the data resulting from the transfections of LuIII ... 9) The sizes of the DNA molecules obtained from this model on the replication of LuIII Lt-Lt correspond very closely with the sizes of the products predicted by the model (figure and 3) for the...

Ngày tải lên: 19/06/2014, 08:20

... replication of LuIII Lt-Lt Parvovirus DNA replication starts when the 3' hydroxyl group at the left end of the viral genome primes the synthesis of a complementary strand, leading the formation of a ... interpretation of the data, participated in the idea and design of the models proposed and in the drafting and revision of the manuscript IDM collected the data resulting from the transfections of LuIII ... 9) The sizes of the DNA molecules obtained from this model on the replication of LuIII Lt-Lt correspond very closely with the sizes of the products predicted by the model (figure and 3) for the...

Ngày tải lên: 20/06/2014, 04:20

... 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 is included in the ... has Theorem 1.2 Suppose that N 1, 2, σ ≥ −2, m > 0, and p > max{1, m} Then every nontrivial solution u x, t of 1.1 blows up in finite time Remark 1.3 Theorems 1.1 and 1.2 are the extension of the ... is called the critical exponent On 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...

Ngày tải lên: 21/06/2014, 11:20

... trace bounds for the product of two general matrices The new trace bounds improve the previous results Then, we present some trace bounds for the solution of the algebraic Riccati equations, which ... Moreover, in terms of 2, , we know that an interpretation of tr K is that tr K /n is the average value of the optimal cost J ∗ as x0 varies over the surface of a unit sphere Therefore, considering ... particularly as the dimensions of the system matrices increase Thus, a number of works have been presented by researchers to evaluate the bounds and trace bounds for the solution of the ARE see 6–...

Ngày tải lên: 22/06/2014, 03:20

... independent of τ,T,U Proof The proof of Proposition 4.1 is divided into two steps First, we estimate the L∞ ([0,T],H σ+ε ) norm of U, and the L2 ([0,T],H σ+ε ) one of u Then, we estimate the L2 ([0,T],H ... Fang Together with the inequalities (4.8) and (4.21), (4.2) follows immediately, which completes the proof of Proposition 4.1 Proof of Theorem 1.1 In fact, Proposition 3.1 also holds on the framework ... H σ −1+ε dσ (4.27) t ≥ 0, which completes the proof of Theorem 1.1 The proof of Corollary 1.2 is similar to that in [1]; here, we omit the details, the interested readers can refer to [1] Acknowledgments...

Ngày tải lên: 22/06/2014, 19:20

... one of the best football in the world (play) The town is situated on the river (attract) How can you imagine the of mathematics in our modern life? (important) The book is very to me (use) The of ... How of you to break that cup (care) I will never forget the holiday in Italy (wonder) I regret to you that they are unable to offer you employment (information) You are very from your brother ... is thinking of English (study) Do you like to solve puzzles? (mathematics) The to the problems will be difficult to find (solve) He is the most pupil in our class (intelligence) The company is...

Ngày tải lên: 21/07/2014, 21:20

... 50% and 90% of P-TEFb is present in the large form of the complex while the remainder of P-TEFb is in the kinase active, free form [9,10,14,15] It is hypothesized that the large form of P-TEFb ... between the loss of the large form of P-TEFb in the cell and the reduction of HIV infectivity demonstrates the tight regulation of the kinase activity in cells and the absolute requirement of that ... representation of the ratio of large to free form of P-TEFb in cells Increasing concentrations of DRB resulted in a shift in the ratio of P-TEFb forms (Fig 1C) In the absence of DRB, approximately 60% of...

Ngày tải lên: 13/08/2014, 05:22