analytical solutions for special cases of groundwater contamination

... 6.1: ANALYTICAL SOLUTIONS FOR SPECIAL CASES OF GROUNDWATER CONTAMINATION Case 1: Continuous Source of Conservative Tracer in One Dimension For an infinite column of background concentration of ... simple special cases (Bedient et al., 1999) Analytical solutions reported for selected simplified cases are given next Application to leachate concentration and travel time The concentration of substances ... solution of the above PDE involves numerical procedures However, by invoking simplifying assumptions, some special cases can be simulated using analytical solutions These cases can be of benefit...

Ngày tải lên: 13/08/2014, 05:22

... đầu hay mm Tần suất AV block thấp Huang and Wood, 2nd ed Catheter ablation of cardiac arrhythmias.2011 “Catheter ablation of AVNRT is the most scaring ablation procedure” Mark E Josephson, MD KẾT ... bỏ dẫn truyền 1:1 đường chậm từ nhĩ phải xoang vành • Khoảng HA ngắn (

Ngày tải lên: 22/08/2015, 20:10

... and offering solutions would bring enormous significance for both theoretical and practical aspects for the diversification of the bank’s activities For this reason, the issue “Some solutions for ... customer loans, offset business costs and generate profits for banks The turnover of the HQVB was mainly collected from credit operations , accounting for 90% of total revenue The performance has ... field of consumer credit, this form of credit is still underdeveloped, accounting for the modest proportion of total outstanding loans under the situation of harsh competition in the context of...

Ngày tải lên: 25/07/2013, 11:20

... NO3-N contamination of groundwater In any cases, more elaborate study should be conducted as soon as possible to ascertain the source and mechanism of NO3-N contamination of the groundwater in these ... situation of groundwater contamination by NO3-N in Kumamoto city Figure shows NO3-N concentration in the groundwater at each sampling point in autumn 2006 Only data for deep well are shown for the ... for NO3-N reduction, suggesting that this area has enough capability of NO3-N removal In addition, low-permeable property of muddy soil might contribute to prolongation of retention time of groundwater, ...

Ngày tải lên: 05/09/2013, 09:38

... best way of proceeding Therefore, a formal risk communication strategy will be an important element of many land contamination projects, especially for large, complex or otherwise high-profile sites ... Chapter 11 44 Supporting Information Introduction to Part 47 Types of supporting information 48 Guide to arrangement of supporting information 49 Supporting Information for Risk Assessment 50 Preliminary ... land contamination involves direct observation of the effects or consequences of the existence of a hazard This could take the form of visible pollutants leaching into water, or the observation of...

Ngày tải lên: 31/03/2014, 13:20

... specific part of banking products This is a form of expression outside of banking products and services such as its name, form, characteristics, symbols, terms of use It is the base for customers ... particular This calls for adoption of marketing approach towards promotion of banking services Hence, the issue promoted me to conduct a study on Solutions for the development of Bank Marketing ... against Payment), Loans for Import, Issuance of Import L/C - Financial Market Products: Foreign Exchange Forward, Interest Rate Swap, Foreign Exchange Swap - Guarantee: Performance Guarantee, Tender...

Ngày tải lên: 23/04/2014, 16:41

... and obtained existence theorem for single and multiple positive periodic solutions of (1.3) Our aim of this article is to study the existence of periodic solutions for the higherorder difference ... Periodic solutions for a class of higher-order difference equations Huantao Zhu1 and Weibing Wang∗2 Hunan College of Information, Changsha, Hunan 410200, P.R China Department of Mathematics, ... article, we discuss the existence of periodic solutions for the higherorder difference equation x(n + k) = g(x(n)) − f (n, x(n − τ (n)) We show the existence of periodic solutions by using Schauder’s...

Ngày tải lên: 18/06/2014, 22:20

... ||ul||μ ® as l ® 0+ □ Proof of Theorem 1.1 From Theorem 4.3, it follows that the problem (1.1) has a posi+ tive solution uλ ∈ Nλ for all l Î (0, Λ0) □ Proof of Theorem 1.2 ¯ For

Ngày tải lên: 20/06/2014, 22:20

... decay result, for which the usual exponential and polynomial decay results are just special cases For the finite time blow-up of a solution, the single viscoelastic wave equation of the form utt − ... Liu, WJ: Uniform decay of solutions for a quaslinear system of viscoelastic equations Nonlinear Anal 71, 2257–2267 (2009) doi:10.1016/j.na.2009.01.060 22 Agre, K, Rammaha, MA: Systems of nonlinear ... exponential or polynomial decay of the solutions energy, depending on the decay rate of the relaxation functions g(s) and h(s) For the problem (1.1) in ℝn, we mention the work of Kafini and Messaoudi...

Ngày tải lên: 21/06/2014, 00:20

... papers 1–3, 11–14 , the authors studied the existence of periodic solutions, subharmonic solutions, and homoclinic solutions of some special forms of 1.1 by using the critical point theory These papers ... study of periodic solutions for difference equations Along this direction, Ma and Guo 13 applied the critical point theory to prove the existence of homoclinic solutions of the following special form ... existence of homoclinic solutions of 1.3 , condition f1 is the special form with N of the following so-called global AmbrosettiRabinowitz condition on W; see 15 Advances in Difference Equations AR For...

Ngày tải lên: 21/06/2014, 11:20

... However, little has been done for this type of problem in unbounded domains For Ω ÊN , we are only aware of the works 12–15 which studied the existence of solutions for some related concave-convex ... has exactly two positive solutions for λ ∈ 0, λ0 and has exactly one positive solution for λ λ0 and no positive solution exists for λ > λ0 For more general results of Eλ involving sign-changing ... respectively The existence of ground state solutions of Eb is affected by the shape of the domain Ω and b x that satisfies some suitable conditions and has been the focus of a great deal of research in recent...

Ngày tải lên: 21/06/2014, 11:20

... multiplicity of solutions for a class of fourth-order semilinear problems,” Proceedings of the Royal Society of Edinburgh A, vol 134, no 1, pp 179–190, 2004 U Elias, “Eigenvalue problems for the equations ... k k k Φk R × Sk The results of Rabinowitz [13] for 3.8 can be stated as follows: for each integer k ≥ 1, ν { , −}, there exists a continuum Cν ⊆ Φν of solutions of 3.8 , joining μk /f0 , to ... Korman investigated the uniqueness of positive solutions of the problem 1.1 by techniques of bifurcation theory However, the existence of sign-changing solution for this problem have not been discussed...

Ngày tải lên: 21/06/2014, 16:20

... studies of the existence of solutions are imposed such as periodicity, asymptotic stability and oscillatory [10–12] In [13], the authors discusses the existence of univalent solutions for fractional ... RW: Existence of convex and non convex local solutions for class of fractional differential inclusion, Electron J Diff Equ 2009(15) (2009) 1–15 Ibrahim, RW: Continuous solutions for fractional ... the existence of extremal solutions for fractional differential equations with maxima Introduction Fractional calculus has become an exciting new mathematical method of solution of diverse problems...

Ngày tải lên: 21/06/2014, 17:20

... the weak solution of Pλ Ap- plying Theorems 4.1 and 4.4 of [44] and Theorem 1.3 of [37], we can easily get the following f results involving of the regularity of weak solutions of Pλ Proposition ... a solution of (4.4λ ), must f satisfy vλ ≥ uλ , and vλ is also a solution of Pλ The proof of Theorem 1.2 is complete Proof of Theorem 1.3 (1) Let f satisfy (1.4), (1.9), and (1.10) For given ... authors get the multiplicity of positive solutions of Pλ1 with M (t) ≡ The aim of the present paper is to generalize the main results of [34–36] to the p(x)-Kirchhoff case For simplicity we shall restrict...

Ngày tải lên: 21/06/2014, 17:20

... operator ϕ of 1.1 , which is more complicated than ϕp in 1.3 Since there is no concrete form for the p-Laplacian-like operator ϕ of 1.1 , it is more difficult to prove the existence of periodic solutions ... t 1.3 e t, |s|p−2 s for s / and ϕp 0 Obviously, 1.3 is a special case and its variants, where ϕp s of 1.1 However, there are seldom results about the existence of periodic solutions to 1.1 The ... equations have been of great interest for many mathematicians Especially, there is a large literature see, e.g., 1–7 and references therein about the existence of periodic solutions to the following...

Ngày tải lên: 21/06/2014, 18:20

... 8, 21, 23–26 Wei 25 , developed the upper and lower solutions method for the existence of positive solutions of the following coupled system of BVPs: −x t f t, x t , y t , t ∈ 0, , −y t g t, x ... the number of positive solutions of nonlinear systems,” Journal of Mathematical Analysis and Applications, vol 281, no 1, pp 287–306, 2003 21 S Xie and J Zhu, “Positive solutions of boundary ... solutions of first-order singular differential equations,” Bulletin of the London Mathematical Society, vol 40, no 1, pp 143–150, 2008 18 A Orpel, “On the existence of bounded positive solutions for...

Ngày tải lên: 21/06/2014, 20:20

... consult for example 11, 12, 18, 19 for details For convenience, we list the following well-known definitions Definition 1.1 A time scale T is a nonempty closed subset of R Definition 1.2 Define the forward ... bi ψ ξi i n M bi cj j L υj x : ΥM n cj L x υj 3.7 j i Proof The proof is similar to that of Proposition 3.1 So we omit it For the sake of applying fixed point theorem on cone, we construct a cone ... the Scientific Creative Platform Foundation of Beijing Municipal Commission of Education PXM2008-014224-067420 The authors thank the referee for his careful reading of the manuscript and useful...

Ngày tải lên: 21/06/2014, 20:20

... notations and lemmas that will be used in the proofs of our main results Definition 2.1 The Riemman-Liouville fractional integral of order α > of a function f : 0, ∞ → R is given by α I0 f t Γα ... Journal of Mathematical Analysis and Applications, vol 204, no 2, pp 609–625, 1996 S Zhang, “The existence of a positive solution for a nonlinear fractional differential equation,” Journal of Mathematical ... no 2, pp 804–812, 2000 T Qiu and Z Bai, “Existence of positive solutions for singular fractional differential equations,” Electronic Journal of Differential Equations, vol 2008, no 146, pp 1–9,...

Ngày tải lên: 21/06/2014, 20:20

... existence of solutions of the system; these results correspond to the sublinear and superlinear cases for p 2, respectively Inspired by the above-mentioned papers, we concern the existence of nontrivial ... Souto, “Existence of solutions for a class of problems in RN involving the p x Laplacian,” in Contributions to Nonlinear Analysis A Tribute to D G de Figueiredo on the Occasion of his 70th Birthday, ... exponent of nonlinearity,” Nonlinear Analysis: Theory, Methods & Applications In press 16 J Chabrowski and Y Fu, “Existence of solutions for p x -Laplacian problems on a bounded domain,” Journal of...

Ngày tải lên: 22/06/2014, 03:20