case the cfd software fluent was used as a tool to examine the u and v velocity patterns and magnitudes with properly scaled geometry developed in gambit to run the simulation program in matlab for concentration and temperature distribution
... coolant plate to enhance the production by increasing heat and mass transfer simultaneously • Analysis of heat and mass transfer aina 2-dimensional domain and investigate thetemperatureandconcentration ... MD was intended for desalination, to have a deeper understanding, it was necessary to investigate the transport process and parameters that influence the production Therefore, the review was ... stage, the pressure is maintained at a lower value than that inthe previous stage Hence, the entrance of heated seawater into the flash chamber causes vigorous boiling caused by flashing at low...
... global attractor in H space, andthe global attractor of this equation consists of equilibria with their stable and unstable manifolds Thus, each trajectory has to converge toa critical point ... Fisher-Kolmogorov equation (1.1) in any kth-order space Hk Theorem 3.2 For any a ≥ the extended Fisher-Kolmogorov equation (1.1) has a global attractor Ain Ha, andA attracts any bounded set of Ha inthe Ha-norm ... > T, u0 ∈ U Then, Equation (2.1) has a global attractor A ⊂ Xα which attracts any bounded set of Xa inthe Xa-norm For Equation (2.1) with variational characteristic, we have the following existence...
... exists a, r ∈ F(B (a, r), a, r ) such that u a, r vin B (a, r) and (ddc a, r )n = µ in B (a, r) Put ua,r = a, r uin B (a, r), in Ω\B (a, r) Since a, r = uin ∂B (a, r) so ua,r ∈ P SH(Ω) We have u = ua,r ... such that w u f and (ddc u) n = µ in Ω Inthe following, we give an example to show that there exists a bounded domain Ω andthe non-negative measure µ in Cn such that the MongeAmp`ere equation ... Lemma 3.3 in [1] and Lemma 3.6 in [1] we get max(ua,rj+1 , ua,rj ) = ua,rj in B (a, rj+1 ) Thus, ua,rj+1 ua,rj in B (a, rj+1 ) This proves the claim Put ga,r = limj→+∞ ua,rj We have u g vin Ω...
... concentration at arbitrary locations in spacetime In [12], [13] this was achieved by translating the origin inthe integrand of (1.6) to an arbitrary point y, and averaging against the L1 mass density |u( y)|2 ... Andrew Hassell, Sergiu Klainerman, and Jalal Shatah for interesting discussions related tothe interaction Morawetz estimate, and Jean Bourgain for valuable comments on an early draft of this paper, ... conjugates Thus for instance 3u2 v |v| 2 +9 |u| 2 |v| 4 + 3u2 v |v| 2 qualifies to be of the form O (u2 v ), and similarly we have |u + v| = |u| + |v| + (1.14) O(uj v 6−j ) j=1 and (1.15) |u + v| (u + v) ...
... gene, 5a [16], using a signal peptide prediction program Sequence Source XIDPAARAAAAA IDPAAKAAAAA SIDPGTKAASAA NIDPAVKAAAA Winter flounder AFP 5a hypothetical gene product American plaice AFP Yellowtail ... ([h]222) was measured asthe sample was warmed from to 30 °C The magnitude decreased slightly when the sample was warmed above °C, although the first substantial changes occurred at °C asthe magnitude ... melting and renaturation curves were examined A sample of protein ( 4.2 lm) was dialyzed against 10 mm sodium phosphate (pH 7.0) and, as above, the dialysis buffer wasusedto establish the baseline...
... electron transport from H2 to fumarate was measured inthe various preparations (Fig 2A) The activity increased with increasing amounts of detergent until a maximum was reached at the critical ratio ... membrane at various concentrations of TPP+ The internal TPP+ concentration (Ti)n+1 was calculated from an assumed value of (Ti)n (Eqn 1) Using the value so obtained, calculation was repeated until ... found to accumulate SCN, andthe H+/e ratio was measured to be close to [15] In these vesicles, hydrogenase is oriented tothe inside and fumarate reductase tothe outside Therefore, if fumarate...
... were subjected to thrombin cleavage to remove the histidine tag from the protein Approximately 90% ACP cleavage was achieved, and uncleaved ACP was removed by passage through an Ninitrilotriacetic ... 0.09 Acyl-ACP synthesis assay with holo-ACP E coli acyl-ACP synthase (AAS) utilizes holo-ACP asa substrate and converts it to acyl-ACP E coli AAS also utilizes fatty acids with various chain lengths ... His-tag The N-terminus His-tag of ACP was cleaved by the addition of U of thrombin from bovine plasma (Sigma-Aldrich) per mg of ACP and incubation at 25 C for h The uncleaved ACP was separated...
... yields unambiguous separation of the vacuum and in- medium effects We obtained the kinetic equation for fermion inthe QHD-I model, including the fermion’s interaction withthe neutral scalar and vector ... equilibrium processes inthe medium of finite density andtemperature We have presented and solved the renormalized effective Dirac equation by Laplace transform The formulation of the initial value ... to approach equilibrium Our next paper is intended to be devoted tothe quantum kinetic equation for scalar, pseudoscalar and vector meson inthe QHD.II model Acknowledgements The authors would...
... magnetic induction: H B-Il a+ bH as an empirical law, however, but rather asa rational equation approximating the B-H curve, andthe deviations of the induction curve from this equation as due to secondary ... limit the vector diagram tothe representation of physical action and I always use the idea of a rotating vector for representing inthe students' mind the successive instantaneous values of current ... voltages are not quite in phase withthe induced voltage, but in phase with each other, since the machines are connected together The triple-f requency voltages so give a resultant, and thus a current...
... functional equation J Inequal Appl 2011 (2011) Article ID 194394 13 Kenary, HA: On the Hyers-Ulam-Rassias stability of a functional equation in non-Archimedean and random normed spaces Acta Universitatis ... approach, we prove the Hyers-Ulam stability of the functional equation (1) in fuzzy normed spaces Inthe rest of the article, assume that X is a vector space and that (Y, N) is a fuzzy Banach space ... ≤ for all n Î N A trivial example of a non-Archimedean valuation is the function | · | taking everything except for into and |0| = Definition 2.1 Let X be a vector space over a field K with a...
... Y satisfying (1.4) can be realized asthe sum of an additive mapping, a quadratic mapping, a cubic mapping anda quartic mapping This paper is organized as follows: In Section 2, we prove the ... Hyers-Ulam stability of the additive-quadratic-cubic-quartic functional equation (1.4) in RN-spaces for an odd caseIn Section 3, we prove the Hyers-Ulam stability of the additive-quadratic-cubicquartic ... Art ID 923476 Eshaghi Gordji, M, Zolfaghari, S, Rassias, JM, Savadkouhi, MB: Solution and stability of a mixed type cubic and quartic functional equation in quasi-Banach spaces Abstr Appl Anal...
... G, Rassias, THM: Stability of Functional Equations in Several Variables Birkhäuser, Basel (1998) Jung, SM: Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis Hadronic ... conceived of the study, and participated in its design and coordination All authors read and approved the final manuscript Competing interests The authors declare that they have no competing interests ... that V1 is a normed space and V2 is a complete non-Archimedean space For any mapping f : V1 ® V2 , we define two mappings Fe and Fo as Saadati et al Journal of Inequalities and Applications 2011,...
... equivalent Volterra integral formulation for problems (1.1) to (1.4) In Section 3, and 5, boundedness, comparisons results and asymptotic behavior regarding particular initial and boundary data ... behavior forthe solution were obtained In other frameworks, a class of heat conduction problems characterized by a uniform heat source given asa multivalued function from ℝ into itself was studied ... Bariloche, Av Bustillo 9500, 8400 Bariloche, Argentina 3Depto de Matemática, Universidad Austral, Paraguay 1950, S2000FZF Rosario, Argentina 4Facultad de Ingenier a, Universidad Nacional de Salta, Buenos...
... of the acceptors inthe nitrides (around 0.1-0.2 eV above the top of the valence band inthe bulk materials), in contrast withthecase of GaAs-derived heterostructures, in which acceptor levels ... (Max) of a particular miniband εq ,v Its value rises continuously as EF spans the interval between the bottom andthe top of this miniband For E F smaller than the minimum eff (Min) of this miniband, ... known The relaxation time for all the minibands is assumed to be the same In order to describe qualitatively the origin of the peculiar behavior asa function of EF , Equation (5) is analyzed with...
... initial values of solutions of the heat equation asa special case of the results asin [24] In this case, the condition (i) inthe above theorem is replaced by the following: For every ε > there ... i=1 asthe equation forthe spaces of generalized functions Using the fundamental solution of the heat equation, we solve the general solution and prove the Hyers– Ulam stability of this equation ... Hyers–Ulam–Rassias Stability of Functional Equations in Nonlinear Analysis Springer Optimization and Its Applications Springer, New York (2011) [7] Kannappan, Pl: Functional Equations and Inequalities with Applications...
... fact, for i T i ≤ T V T AU 1, 2, , n, we have λi V T AU V T AU T λi V T λi AUV T AUV T AUV T λi AS AUV T T T V 2.35 10 Journal of Inequalities and Applications Then 2.34 can be rewritten as ... dk V T AU < σ k B dj V T AU − σ j B dj V T AU − σ k B dk V T AU σj B −σk B dk V T AU − dj V T AU ≥ 2.26 Journal of Inequalities and Applications We use d V T AU to denote the vector of d V T AU ... such that dj V T AU dk V T AU , then σ j B dk V T AU > σ k B dj V T AU − σ j B dj V T AU − σ k B dk V T AU σj B −σk B dk V T AU − dj V T AU ≤ 2.22 We use d V T AU to denote the vector of d V...
... restricted domains, and applied the result tothe study of an interesting asymptotic behavior of the quadratic functions Asa matter of fact, we reformulate 1.1 and related inequality inthe spaces of ... Rassias, Stability of Functional Equations in Several Variables, Progress in Nonlinear Differential Equations and Their Applications, 34, Birkh¨ user, Boston, Mass, USA, 1998 a 12 Journal of Inequalities ... Journal of Inequalities and Applications inthe spaces of generalized functions Also, we obtain the general solution and prove the Hyers-Ulam stability of 1.1 inthe spaces of generalized functions...
... Butler-Rassias functional equation,” Journal of Inequalities and Applications, vol 2005, no 1, pp 41–47, 2005 [9] T Miura, S.-E Takahasi, and G Hirasawa, “Hyers-Ulam-Rassias stability of Jordan homomorphisms ... Isac, and Th M Rassias, Stability of Functional Equations in Several Variables, vol 34 of Progress in Nonlinear Differential Equations and Their Applications, Birkh¨ user, Boston, a Mass, USA, ... where u is the Gauss transform of u Thus inequality (4.3) is converted into the classical functional inequality u ax+ y ,a2 t+s + u ax − y ,a2 t + s − au(x + y,t + s) − au(x − y,t + s) − 2a a2 − u( x,t)...