4 boundary conditions for various techniques

... Theory, Methods & Applications, vol 54, no 3, pp 43 1 44 3, 2003 J Zhang, S Li, Y Wang, and X Xue, “Multiple solutions for semilinear elliptic equations with Neumann boundary condition and jumping nonlinearities,” ... respectively Boundary Value Problems f x, − α, f− x, − α for i is an even number, i ≥ For a, b ∈ R2 , f4 Let a, b the problem −Δp u p−1 a u−c ∂u ∂ν −b u−c 0, − p−1 on ∂Ω, , in Ω, 1 .4 only has constant ... Journal, vol 43 , no 4, pp 1139– cı 1157, 19 94 14 P Lindqvist, “On the equation div |∇u|p−2 ∇u λ|u|p−2 u 0,” Proceedings of the American Mathematical Society, vol 109, no 1, pp 157–1 64, 1990 15...

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Ngày tải lên: 14/11/2014, 11:05

... 41 Chapter 4: Wall boundary condition 42 4. 1 Need for Boundary Condition _ 42 4. 2 Conventional Wall Boundary Treatment 43 4. 2.1 Calculating ... 40 4. 1 Conventional wall model 44 4. 2 Wall reflection models 45 4. 3 Integration over the area of interaction 50 4. 4 Integrating over a triangle 50 4. 5 Integrated Weight Function 52 - viii - 4. 6 ... 43 4. 2.2 Impenetrable wall model 44 4. 2.3 Moving wall 46 4. 3 New Continuum model with Single Layer of Particles _ 47 4. 3.1 Formulation...

Ngày tải lên: 27/11/2015, 11:26

... 941 .38 148 9 .45 2103 .41 826 .41 141 2. 34 1790.87 712.55 1203. 14 2602.35 1021.35 1623. 24 2102. 54 9 24. 96 1 540 .28 2086.32 867.35 148 0.38 1858. 64 872 .46 1335.27 2517.32 1025.36 1779.35 2 344 . 24 9 84. 24 ... experimentally 147 8.7 1327.05 1523. 84 13 94. 7 15 84. 3 143 1 .4  (rad/sec) theoretically, [7] 1 347 .0 14 1236. 749 13 74. 748 12 74. 106 141 8.263 1329.897 Error % 8.91 6.81 9.78 8.65 10 .48 7.09 From Table ... 11 CCCC 1986. 34 1 940 .23 1730.36 2235.23 2125. 34 1850.15 1598.36 2310.32 2211.86 2101.98 1872 .47 CCFF 739. 64 643 .86 587 .42 846 .49 7 84. 87 745 .21 698.22 892. 34 789.66 725. 14 675. 14 Natural Frequency...

Ngày tải lên: 09/09/2015, 10:06

... D16 : WATER MANAGEMENT CONCEPT Page of 23 Contents 4. 1 4. 2 4. 3 4. 4 5.1 5.2 5.3 Summary Introduction Systematic approach to Water ... is in progress 7 .4. 2 Evaporation Evaporation techniques are mainly used in pulp processing for waste liquid evaporation The removal efficiency of these techniques is effective for salts containing ... water clarification are flotation saveall for tissue paper mill and for corrugating paper mill and disk filter for all kind of production (and particularly for fine papers) D16 : WATER MANAGEMENT...

Ngày tải lên: 01/04/2014, 00:20

... years, for example, for the Laplacian with nonlinear boundary conditions see [26–30], for elliptic systems with nonlinear boundary conditions see [31, 32], for the p-Laplacian with nonlinear boundary ... Comput 147 , 47 5 48 9 (20 04) [16] He, XM, Zou, WM: Infinitly many positive solutions for Kirchhoff-type problems Nonlinear Anal 70, 140 7– 141 4 (2009) 17 [17] Fan, XL: On the sub-supersolution method for ... 263, 42 4 44 6 (2001) [23] Fan, XL, Zhao, YZ, Zhang, QH: A strong maximum principle for p(x)Laplacian equations Chinese Ann Math Ser A 24, 49 5–500 (2003) (in Chinese); Chinese J Contemp Math 24, ...

Ngày tải lên: 20/06/2014, 21:20

... D: Nonlinear boundary value problems on time scales Nonlinear Anal 44 , 527–535 (2001) doi:10.1016/S0362- 546 X(99)00290 -4 Anderson, D, Avery, R, Henderson, J: Existence of solutions for a one dimensional ... 889–896 (20 04) doi:10.1080/1023619 041 000173 141 6 Atici, FM, Guseinov, GSh: On Green’s functions and positive solutions for boundary value problems on time scales J Comput Appl Math 141 (1-2), 75–99 ... doi:10.1016/S0377- 042 7(01)0 043 7-X Li and Shu Advances in Difference Equations 2011, 2011 :42 http://www.advancesindifferenceequations.com/content/2011/1 /42 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26...

Ngày tải lên: 20/06/2014, 22:20

... 381 40 6 (1908) doi:10.1007/BF0 241 545 0 13 Horgan, CO, Payne, LE: Phragmén-Lindelöf Type Results for Harmonic Functions with Nonlinear Boundary Conditions Arch Rational Mech Anal 122, 123– 144 (1993) ... Non-linear Mech 41 , 844 – 849 (2006) doi:10.1016/j.ijnonlinmec.2006.06.001 18 Nouria, S: Polynomial and analytic boundary feedback stabilization of square plate Bol Soc Parana Math 27(2):23 43 (2009) ... elliptic equations on the half cylinder Z Angew Math phys 43 , 40 5 42 1 (1992) doi:10.1007/BF00 946 237 Flavin, JN, Rionero, S: Qualitative Estimates for Partial Differential Equations, An Introduction...

Ngày tải lên: 21/06/2014, 00:20

... l2 3 .42 t ∈ 0, 3 .43 − Let α t l2 b2 t , b2 t , l2 β t Thus, from 3 .41 and 3 .43 , we have l2 k2 − t ≤ α t ≤ − t ≤ β t ≤ 1−t , l2 k2 t ∈ 0, 3 .44 Notice that p ≥ 2, it follows from 3 .42 − 3 .44 and ... solution of problem 4. 8 Then x t can be expressed by A1 ϕ−1 B1 f t, x t , x t p x t 4. 11 Theorem 4. 4 Suppose that H holds, then a necessary and sufficient condition for problem 4. 8 to have a pseudo-C3 ... sublinear three-point boundary value problems,” Applied Mathematics and Computation, vol 186, no 1, pp 40 4 41 3, 2007 19 J R Graef and L Kong, “Necessary and sufficient conditions for the existence...

Ngày tải lên: 21/06/2014, 11:20

... additional conditions The solution of nonhomogeneous problems is of the form ui uf ;i u0;i see 4. 19 and 4. 21 Thus, we get a simple formula for solving problem 4. 3 - 4. 4 Theorem 4. 1 The solution ... 4. 4 Theorem 4. 1 The solution of problem 4. 3 - 4. 4 can be expressed by the formula θ δik − Lk vi , Hk,· , f ui X g1 · vi1 g2 · vi2 , i ∈ X 4. 22 Formula 4. 22 can be effectively employed to get the ... , i ∈ X, 4. 15 n−2 l wl gl , w, g ∈ F X So, we derive a formula for the general C2 u2 We use this formula for the special basis {v1 , v2 } see i θ Hi,·, f ui X C1 vi1 i ∈ X C2 vi2 , 4. 16 Let...

Ngày tải lên: 21/06/2014, 11:20

... no 3 -4, pp 16 04 1615, 2010 11 B Ahmad, “Existence of solutions for irregular boundary value problems of nonlinear fractional differential equations,” Applied Mathematics Letters, vol 23, no 4, pp ... solutions for nonlocal boundary value problems of higherorder nonlinear fractional differential equations,” Abstract and Applied Analysis, vol 2009, Article ID 49 4720, pages, 2009 14 B Ahmad and ... equations with three-point boundary conditions, ” Computers & Mathematics with Applicationsl, vol 58, no 9, pp 1838–1 843 , 2009 16 Z Bai and H Lu, “Positive solutions for boundary value problem of...

Ngày tải lên: 21/06/2014, 16:20

... ρ, q ρ λ, we have F ρ −F q ρ 2λ 3 .42 or equivalently, 2λ F ρ −F q ρ Substituting x 3 .43 into 3.39 gives − 2λ F ρ − F q ρ u 3 .44 −1 3 .45 Combining 3 .43 and 3 .44 , u Hence, u x satisfies both 3.15 ... that i for < λ ≤ λ∗ , 1 .4 - 1.5 has a positive radial solution; ii for λ > λ∗ , 1 .4 - 1.5 has at least two positive radial solutions Boundary Value Problems 1, Ω Secondly, we present results for ... ∈ 0, 3 .40 From 3.38 and 3.39 , we have, u x 2 λ F ρ −F u x Boundary Value Problems 17 Differentiating 3 .40 gives λf u u , −u u ⇒ −u x ∈ 0, , λf u , x ∈ 0, 3 .41 Hence, u x satisfies 3. 14 It only...

Ngày tải lên: 21/06/2014, 16:20

... Tx ≤ x 4. 12 Applying Lemma 3.3 to 4. 4 and 4. 8 , or 4. 10 and 4. 12 , yields that T has a fixed point x∗ ∈ K r,R or x∗ ∈ K ri ,Ri i 1, with x∗ t ≥ γ ∗ x∗ > 0, t ∈ 0, Thus it follows that boundary ... then by the proof of 4. 4 , we have Tx ≥ x , for x ∈ ∂Kr 5.2 16 Boundary Value Problems If f∞ > 1/ 1−θ θ G s g s ds γ ∗ , then similar to the proof of 4. 4 , we have Tx ≥ x , for x ∈ ∂KR 5.3 On ... ε2 ≤ M max 0≤x≤R1 , t∈ 0,1 then f t, x ≤ M f∞ 4. 5 ε2 x f t, x , 4. 6 14 Boundary Value Problems Chose R1 > max{r1 , R1 , Mσ − σ f ∞ ε2 −1 } Then, for x ∈ ∂KR1 , we have G t, s g s f s, x s ds...

Ngày tải lên: 21/06/2014, 16:20

... Scientific Creative Platform Foundation of Beijing Municipal Commission of Education PXM2008-0 142 24- 06 742 0 References D R Anderson, “Eigenvalue intervals for a two-point boundary value problem ... theorem for right focal boundary value problems on a measure chain,” Applied Mathematics Letters, vol 18, no 1, pp 41 47 , 2005 20 M Feng, X Zhang, and W Ge, “Positive solutions for a class of boundary ... the boundary conditions, we have uΔ > 0, uΔ < Therefore uΔ uΔ < So by 10, Theorem 1.115 , there exists or uΔ t0 uΔ σ t0 ≤ And uΔ t > for t ∈ 0, t0 , uΔ t < 0, t0 ∈ 0, T satisfying uΔ t0 for t...

Ngày tải lên: 21/06/2014, 20:20

... nonlocal boundary conditions, ” Journal of Mathematical Analysis and Applications, vol 2 94, no 2, pp 712–728, 20 04 [2] C V Pao, “Dynamics of reaction-diffusion equations with nonlocal boundary conditions, ” ... “Monotonic decay of solutions of parabolic equations with nonlocal boundary conditions, ” Quarterly of Applied Mathematics, vol 44 , no 3, pp 40 1 40 7, 1986 [5] Y Wang and C Zhou, “Contraction operators and ... nonlocal boundary condition,” Journal of Mathematical Analysis and Applications, vol 185, no 1, pp 161–1 74, 19 94 [7] Y Wang and B Nai, “Existence of solutions to nonlocal boundary problems for parabolic...

Ngày tải lên: 22/06/2014, 19:20

... 95.6% 4. 4% Spleen 34. 7% 64. 7% 0.5% 98.5% 18.7% 79.2% 2.1% 90.1% 38.9% 60.1% 1.0% 97.6% 2 .4% PBSI HDR Wedge IMRT (catheters) 3D-CRT Breast 0.20 0.00% 0.05% 0. 34% 0. 04% 0.03% 0.85 0.67% 2.10% 0 .49 % ... acceptable Since most radiotherapy techniques except the HDR brachytherapy are yielding similar or lower amount of Table Dose to various organs for various breast radiotherapy techniques Technique PBSI ... (LAD) HDR (catheters) Wedge IMRT 3DCRT 90 Gy 34 Gy 50 Gy 50 Gy 230 mSv 1695 mSv 206 mSv 140 mSv 44 mSv 1171 mSv 2300 mSv 810 mSv 130 mSv 790 mSv 247 1 mSv 582 mSv 121 mSv 80 mSv 0.7 Gy 3.6 Gy 2.7...

Ngày tải lên: 09/08/2014, 09:20

... 4. 3 DESIGN VESSEL 79 4. 4 WATER AREA 80 4. 4.1 Approach channel 80 4. 4.2 Turning Circle 85 4. 4.3 Mooring Basin 86 4. 4 .4 ... NW 0.0 - 2.5 346 569 568 44 1 259 195 2 04 2 14 2796 7.86% 100.00% 2.5 - 5.0 1150 1631 1918 1925 1067 665 358 376 9090 25.57% 92. 14% 5.0 - 7.5 1299 1802 16 34 4117 1839 145 9 355 240 12 745 35.85% 66.57% ... - 10.0 1093 145 1 371 2659 6 64 1257 277 48 7820 22.00% 30.72% 10.0 - 12.5 726 752 33 367 23 377 149 32 245 9 6.92% 8.73% 12.5 - 15.0 2 74 1 74 18 11 40 23 550 1.55% 1.81% 15.0 - 17.5 44 11 2 2 68...

Ngày tải lên: 03/10/2014, 13:13

... 5 .40 5.826 3.161 3.161 3. 24 3.331 2.051 2.051 2.08 2.071 1.67 6.171 6.171 6.21 6.212 2.5 4. 836 4. 836 4. 86 5.08 3.7 04 3.7 04 3.79 3.825 1.67 11.857 11.857 12.00 11.62 2.5 8. 546 8. 546 8.90 9.3 74 ... Zhu (2002) 2.5 1×1 04 Method 5. 944 5. 944 6.11 6.107 122      Chapter A Boundary Condition-Enforced IBM for Heat Transfer Problems with Dirichlet Condition Fig .4. 1 Configuration for the model problem ... = 40 Fig 4. 3 Isotherms for flow over a heated stationary cylinder at Re = 20, 40 Fig 4. 4 Schematic view of natural convection in a concentric annulus 1 24     Chapter A Boundary Condition-Enforced...

Ngày tải lên: 09/09/2015, 11:17

... 119586 041 β 1+ − 623952000 119586 041 α+ 32835 240 0 119586 041 Qz(t) = − 52 φ(z) + 15 ψ(z) ω1 (t), for all z ∈ Z, where − 6 249 76800 119586 041 28 647 9600 119586 041 + − 25815600 70 344 73 2 749 545 00 119586 041 ... resonance, J Math Anal Appl 3 94 (2012), 42 543 1 [9] R Ma, Existence results of a m-point boundary value problem at resonance, J Math Anal Appl 2 94 (20 04) , 147 -157 [10] X Zhang, M Feng, W Ge, Existence ... 25815600 70 344 73 2 749 545 00 119586 041 343 127520 − 119586 041 t+ 2356 048 80 119586 041 t Construction of the projector P: It is noted that   −1  1/2 −3/2  + = 0  0 0 For x(t) = (x (t), x (t)), t ∈...

Ngày tải lên: 14/10/2015, 08:45

... modify any code written for CDO for Windows NT Server for it to work with CDO for Windows 2000 CDO for Exchange CDO for Exchange (Cdoex.dll) is installed with Exchange 2000 CDO for Exchange upgrades ... registration for CDO for Windows 2000 to CDO for Exchange Applications based on CDO for Windows 2000 remain intact because CDO for Exchange includes full functionality of CDO for Windows 2000 CDO for ... standard for obtaining contact information through the CDO Person object Lastly, show how to export and import contact information by using the vCard format vi Module 4: Incorporating CDO for Exchange...

Ngày tải lên: 11/12/2013, 14:15