... Partial vanishing viscosity limit forthe 2D Boussinesq system witha slip boundary condition Liangbing Jin1, Jishan Fan2, Gen Nakamura3 and Yong Zhou∗1 Department of Mathematics, Zhejiang ... Japan ∗ Corresponding author: yzhoumath@zjnu.edu.cn Email addresses: LJ: lbjin@zjnu.edu.cn GN: gnaka@math.sci.hokudai.ac.jp JF: fanjishan@njfu.com.cn Abstract This article studies the partial ... read and approved the final manuscript Acknowledgments This study was partially supported by the Zhejiang Innovation Project (Grant No T200905), the ZJNSF (Grant No R6090109), and the NSFC (Grant...
... Partial vanishing viscosity limit forthe 2D Boussinesq system witha slip boundary condition Liangbing Jin1, Jishan Fan2, Gen Nakamura3 and Yong Zhou∗1 Department of Mathematics, Zhejiang ... Japan ∗ Corresponding author: yzhoumath@zjnu.edu.cn Email addresses: LJ: lbjin@zjnu.edu.cn GN: gnaka@math.sci.hokudai.ac.jp JF: fanjishan@njfu.com.cn Abstract This article studies the partial ... read and approved the final manuscript Acknowledgments This study was partially supported by the Zhejiang Innovation Project (Grant No T200905), the ZJNSF (Grant No R6090109), and the NSFC (Grant...
... generalized right-focal boundary value problem with p-Laplacian operator,” Journal of Mathematical Analysis and Applications, vol 324, no 1, pp 409–424, 2006 19 D R Anderson, “Green’s function for ... solutions for nonlinear three-point boundary value problems on time scales,” Journal of Mathematical Analysis and Applications, vol 299, no 2, pp 508–524, 2004 M Bohner and A Peterso, Eds., Advances ... Dynamic Equations on Time Scales, Birkh¨ user, Boston, a Mass, USA, 2003 H R Sun and W T Li, “Positive solutions for nonlinear m-point boundary value problems on time scales,” Acta Mathematica...
... I .A Stegun, Eds., Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, Dover Publications, New York, 1966 [2] E .A Bender, Central and Local Limit Theorems Applied to ... ln n and m is a fixed integer at least 2 Here, H2q are the Hermite polynomials defined before Theorem and the S2q are defined in Theorem In particular, we have a complete asymptotic expansion for ... See Corollaries 2, for other asymptotic expansions In what follows, k, and n are integers with ≤ k ≤ n and ≤ ≤ n We denote the nonnegative integers by N All asymptotic formulas are for n → ∞...
... constant support and many helpful conversations about the paper Much of this paper was written while the author enjoyed the hospitality of the Institute of Mathematics and Informatics, Bulgarian Academy ... estimates for uniform order statistics The author also thanks G´rald Tenenbaum for several preprints of his work and for informe ing the author about the theorem of Rogers mentioned above, and thanks ... probability theory is to ask forthe likelihood that a random walk on the real numbers, with each step haveing zero expectation, stays completely tothe right of the origin (or a point just tothe the...
... main- and side-chain atoms in the ligand loop containing the K100 are however, observed To accommodate K100 as a ligand a number of main-chain atoms are displaced relative to their positions in the ... c-550 and the M100K(rt) variant The overall polypeptide fold of the wt protein is maintained forthe M100K variant, with an r.m.s.d forthe ˚ backbone atoms of 0.4 A Significant deviations for main- ... for data collection and refinement are summarized in Table The program procheck [34] was used to analyse conformational variations from the defined norms, withthe quality of the Ramachandran plots...
... Moreover, the two a- synuclein mutations associated with PD, Ala53Thr [5] and Ala30Pro [6], further accelerate the aggregation process [7–9] A third a- synuclein variant was recently described withthe ... concentration was determined using the bicinchoninic acid protein assay (Pierce, Rockford, IL) and BSA as a standard Aggregation assays Fibril formation of WT and A5 3T mutant a- synuclein recombinant ... has an apparent molecular mass of 300 kDa is not accompanied by an increased Thioflavin T binding Similarly, the PA700– a- synuclein complex that forms in the lag phase and in the presence of PA700...
... indicating that M27 has a high affinity for all forms of AT The Kd for native and elastase-cleaved AT were almost identical The highest Kd, for latent AT, was the result of both a decrease in the association ... surface plasmon resonance on a BIAcore instrument and analyzed using the software package BIAEVALUATION 3.0 See the Materials and methods for details Values represent the mean (± standard deviation) ... clearance of the T–AT complex in rats Thrombin, native AT, and elastase-cleaved AT were labeled with 125I (Amersham Pharmacia AB, Uppsala, Sweden) using the chloramine T method, according tothe supplier’s...
... Veenhoven et al 2011) This leads toa somewhat paradoxical conclusion that people with mental disorders are happy if they have the characteristics that are usually associated with good mental health ... honest about their happiness However, the data not support this explanation Happiness of people with and without mental disorders turn out to be associated in the same way with other indicators ... functional disabilities (De Graaf et al 2002) De Graaf et al (p 311) conclude: “Probably we are not dealing here with psychopathology but with behavior specific toa particular phase of early adulthood,...
... Acknowledgments The author is very grateful to Editor of the Journal and the anonymous referees for their carefully reading of the first draft of the manuscript and making many valuable suggestions 22 and ... solutions tothe problem (1.1) The nonlinear term f may take negative values and the nonlinearity may be sign-changing Firstly, we employ a exchange technique and construct an integral operator forthe ... problem at resonance Nonlinear Anal 24(10), 1483–1489 (1995) [5] Gupta, CP, Ntouyas, SK, Tsamatos, P: On an m-point boundary value problem for second-order ordinary differential equations Nonlinear Anal...
... Materials to display the Define Materials dialog box 18 Highlight the CONC material and click the Modify/Show Material button to display the Material Property Data dialog box 19 In this dialog ... click the Plane Grid XY Plane button degrees of freedom • Click the OK button to set the available 38 Click the 3D View button on the main toolbar to switch toa 3-D View 39 Click the Run Analysis ... Joint Reaction Forces button Reaction Forces dialog box 42 In this dialog box: to run the analysis on the main toolbar to display the Joint • Verify that the Reactions option is selected in the Type...
... and Analytic Theory, Pure and Applied Mathematics, vol 278, Chapman & Hall/CRC, 2006 [15] A Geroldinger, Additive group theory and non-unique factorizations, Combinatorial Number Theory and Additive ... Math 37 (2007), 1541– 1550 [12] W.D Gao, A Geroldinger and Q.H Wang, A quantitative aspect of non-unique factorizations: the Narkiewicz constants, International Journal of Number Theory, to appear ... hypothesis that Sc−1 = a| S|−1 for some a generating Cn By the arbitrariness of c, we conclude that (1) holds To prove |S| ≤ n, we suppose tothe contrary that |S| ≥ n + By (1) and Lemma 5, ∈ E(an+1...
... had a shorter tau than Caucasians, which would augment phase advances relative tothe Caucasians witha longer tau, we hypothesize that this larger phase advance in African Americans was due to ... potentially trigger phototransduction Contrary to that suggestion, in our previous study [40] African Americans had larger phase advances than Caucasians Because we found that African Americans had ... similar, but African Americans (n = 7) had larger phase advances than Caucasians (n = 11) [40], suggesting that race, not iris color, was a factor mediating the magnitude of circadian phase shifts...
... muscle area was estimated by averaging the area of muscle at the closest image tothe first lumbar and the next caudal image Percentages of lean, fat and bone were calculated as a percentage of the ... amount of bone (third set) Furthermore AUTOCAT was used to calculate the area, mean pixel value and variance of each tissue group for each animal from the three sets of images Subcutaneous fat ... the many casual staff who have contributed tothe rearing of the lambs, the husbandry of the sheep, and the collation of data Dr Mary Lam is thanked for her support in the first part of the analysis...
... were also common The main laboratory data gathered at the time of NAFLD diagnosis are summarised in table ALT and AST levels were each within the normal range in few patients 1539 Hepatology Table ... specific age and sex in each individual case {Includes the normal laboratory values for boys and girls forthe age range of our patient population {Based on percentile for age and sex ALT, alanine aminotransferase; ... Laboratory evaluation included liver biochemistries (serum aspartate aminotransferase (AST), alanine aminotransferase (ALT), alkaline phosphatase activity, c-glutamyl transferase (GGT), total bilirubin,...
... useful in many ways Take tin tomatoes and rub through a sieve Make upwith clear stock or water to pint breakfastcupfuls Have 1/6-oz Agar-agar (Vegetable Gelatine) soaked for an hour in cold water, ... sending to table Cold Slaw is a favourite American salad Shred the cabbage as above and sprinkle liberally with salt Allow to remain for at least 24 hours, turning occasionally Drain and use with ... put to set also When used as a garnish, stamp out in pretty shapes, and arrange withthe red and amber alternating For Glaze dissolve tablespoonfuls of the clear tomato aspic in saucepan Add...
... for all men of the same age in the BC population The median non-prostate cancer survival is greater than 10 years for men aged upto 80 years at start of radiation treatment The non-prostate cancer ... 82 Age at start of radiation treatment Figure Median survival at age of starting radiation treatment Median survival at age of starting radiation treatment The top line is the median survival ... non-prostate cancer death for men treated with radiation treatment The bottom line is the median survival at the same age forthe male population of British Columbia, Canada Discussion We have shown...
... Materials and methods Patients and study design Adalimumab cohort Data from the ATLAS and the Canadian AS trials were combined to provide a database of adalimumab-treated patients forthe analysis ... Data from the 315 patients from ATLAS were pooled withthe 82 patients from the Canadian study as a potential source of radiograph data forthe primary analysis (n = 397) The ATLAS and Canadian ... covariance model The primary endpoint, the mean change in mSASSS values from baseline to year 2, was the dependent variable, with cohort as a factor and baseline mSASSS values as a covariate The...
... witha name, a party, and a platform The same principles that operate in the commercial marketplace hold true in the political marketplace: successful companies have a market orientation and are ... and image of the candidate To be successful, a candidate not only has to market himself, but his campaign platform as well The campaign platform evolves over the course of the political campaign ... withthe Party's political programs and statutes The Party makes great efforts to maintain its close relationship withthe people The Party operates in accordance withthe Constitution and other...