stokes equations on mixed grids

... of the fundamental solution in one dimensional Navier -Stokes equations are shown, which lead to results on nonlinear stability of the solution in the whole space around constant states Furthermore, ... Function of the above equations 1.1 Literature Review This section presents a survey of literature pertinent to studies on the structure of the solutions to the compressible Navier -Stokes equations ... compressible Navier -Stokes equations under zero Dirichlet boundary conditions around a given constant state, and give the structure of their Green’s function Considering n dimensional space Rn ,...

Ngày tải lên: 10/09/2015, 09:06

... oscillation of delay difference equations, Journal of Applied Mathematics and Simulation (1989), no 2, 101–111 [9] Y Sahiner, Oscillation of second-order delay differential equations on time scales, Nonlinear ... dynamic equations, Journal of Mathematical Analysis and Applications 300 (2004), no 1, 203–217 [3] M Bohner and A Peterson, Dynamic Equations on Time Scales: An Introduction with Applications, Birkh¨ ... the conclusions of Theorems 2.2 and 2.3 are valid without the monotonicity condition on r and requirements τ(t) = t − τ and δ(t) = t − δ In the next section, we present some new oscillation criteria...

Ngày tải lên: 22/06/2014, 22:20

Ngày tải lên: 14/03/2014, 13:20

Ngày tải lên: 14/03/2014, 13:20

... minimal nondegeneracy condition independent of the viscosity ν, while Proposition 4.11 requires a nondegeneracy condition which depends on ν Proof of Proposition 4.11 Let πh be the orthogonal projection ... Proposition 4.3 Lemma 4.10 The solution of the 2D Navier -Stokes equations in the vorticity formulation (2.1) satisfies the following bounds: There exist positive constants C and η0 , depending only on ... proof of Proposition 4.4 1011 ERGODICITY OF THE 2D NAVIER -STOKES EQUATIONS 4.2 Malliavin calculus and the Navier -Stokes equations In this section, we give a brief introduction to some elements...

Ngày tải lên: 29/03/2014, 07:20

... concentration was calculated as 2% by simulation method with a Hysys program Table 2.5 Composition of mixture gases at different reaction conditions for C3H6 oxidation Composition Concentration, ... and H2 at rich conditions on NO conversion is investigated, both at steady-state conditions Furthermore, the model is also applied for the simulation of emissions of hydrocarbons, CO, and NO ... formed in reduction condition This pollutant will be converted into NO-another pollutant in oxidation media [1] Addition air Reduction converter Exhaust gas NO → N2 + O2 NH3 Oxidation converter HC...

Ngày tải lên: 12/05/2014, 17:14

... Then, the condition f ∈ R (g, I) is equivalent to each one of the following items: (i) f is a monotonic function on I; (ii) f is a continuous function on I; (iii) f is regulated on I; (iv) f ... Δ-integral conditions for second-order dynamic equations on time scales at resonance Advances in Difference Equations 2011 2011:42 Submit your manuscript to a journal and benefit from: Convenient online ... Applications Birkhäuser, Boston (2001) Bohner, M, Peterson, A: Advances in Dynamic Equations on Time Scales Birkhäuser, Boston (2003) Agarwal, RP, O’Regan, D: Nonlinear boundary value problems on time...

Ngày tải lên: 20/06/2014, 22:20

... Navier -Stokes equations with vacuum state in one dimension Commun Pure Appl Anal 3, 675–694 (2004) 14 Fang, D, Zhang, T: A note on compressible Navier -Stokes equations with vacuum state in one dimension ... existence, uniqueness and regularity for one-dimensional compressible Navier -Stokes equations (Preprint) Yang, T, Yao, Z, Zhu, C: Compressible Navier -Stokes equations with degenerate viscosity coefficient ... isentropic Navier -Stokes equations with a non-autonomous external force Boundary Value Problems 2011 2011:43 Submit your manuscript to a journal and benefit from: Convenient online submission Rigorous...

Ngày tải lên: 20/06/2014, 22:20

... solutions for singular fractional equations Electron J Differ Equ 2008, 146:1-9 15 Zhang S: Positive solutions for boundary-value problems of nonlinear fractional differential equations Electron ... Zhang M: Existence on positive solutions for boundary value problems of singular nonlinear fractional differential equations 2010 Sixth IEEE/ASME International Conference on Mechatronic and Embedded ... nonlinear fractional differential equations Fixed Point Theory Appl 2010, 2010:1-17 30 Babakhani A: Positive solutions for system of nonlinear fractional differential equations in two dimensions...

Ngày tải lên: 21/06/2014, 03:20

... Peterson, Advances in Dynamic Equations on Time Scales, Birkh¨ user, Boston, Mass, a USA, 2003 M Bohner and S H Saker, “Oscillation of second order nonlinear dynamic equations on time scales,” The Rocky ... research activity concerning the oscillation and nonoscillation of solutions of various equations on time scales, and we refer the reader to 5–18 Recently, Erbe et al 19–21 considered the asymptotic ... Erbe, “Oscillation results for second-order linear equations on a time scale,” Journal of Difference Equations and Applications, vol 8, no 11, pp 1061–1071, 2002 T S Hassan, “Oscillation criteria...

Ngày tải lên: 21/06/2014, 05:20

... difference equations, ” International Journal of Difference Equations, vol 1, no 2, pp 181–193, 2006 P E Kloeden and A Zmorzynska, “Lyapunov functions for linear nonautonomous dynamical equations on time ... initial condition is equivalent to the condition Aρ t0 x t0 not also dependent on choice of projectors Noting that if x t is a solution of 2.3 with the initial condition 2.33 , then x t ∈ t0 Conversely, ... initial condition τ Aρ t0 x t0 − x0 3.2 has a unique solution defined on Ìt0 The condition ensuring the existence of a unique solution can be refered to Section We denote the solution with the...

Ngày tải lên: 21/06/2014, 05:20

... positive real valued rdcontinuous functions on T, p t is a nonnegative real valued rd-continuous function on T and established sufficient conditions for the oscillation of all solutions of 1.2 using Ricatti ... and A Peterson, Dynamic Equations on Time Scales: An Introduction with Applications, Birkh¨ user, Boston, Mass, USA, 2001 a M Bohner and A Peterson, Eds., Advances in Dynamic Equations on Time Scales, ... are real valued rd-continuous functions on T Motivated by the above observation, in this paper we consider the following second order neutral delay dynamic equation with mixed nonlinearities of...

Ngày tải lên: 21/06/2014, 05:20

... use the cone theory and monotone iterative technique to investigate the existence of minimal nonnegative solution for a class of second-order nonlinear impulsive differential equations on an infinite ... problems for second order impulsive integro-differential equations in Banach spaces,” Nonlinear Analysis: Theory, Methods & Applications, vol 28, no 6, pp 983–997, 1997 X Liu, “Monotone iterative ... differential equations, ” Applied Mathematics and Computation, vol 202, no 2, pp 550–561, 2008 19 T Jankowski, “Existence of solutions for second order impulsive differential equations with deviating...

Ngày tải lên: 21/06/2014, 11:20

... course one may have to adjust the notion of such mixed means in order for this to make sense for all n For example, when r 3, n 2, the notion of P2,3 is not even defined From now on, we will only ... inequality 2.5 follows on adding inequalities 2.7 and 2.8 , and this completes the proof of Theorem 1.4 A Discussion on Symmetric Means Let ≤ r ≤ n; we recall that the rth symmetric function En,r of x ... well known that, for fixed x of dimension n, Pn,r is a nonincreasing function of r for ≤ r ≤ n with Pn,1 An , Pn,n Gn with weights wi 1, ≤ i ≤ n In view of the mixedmean inequalities for the generalized...

Ngày tải lên: 21/06/2014, 17:20

... classification: 39A10 Keywords: Neutral difference equation; mixed type; comparison theorems; oscillation Introduction In this article, we study the oscillation behavior of solutions of mixed type ... In Section 2, we present conditions for the oscillation of all solutions of equation (E± ) Examples are provided in Section to illustrate the results Oscillation results In this section, we obtain ... Laddas, G: Oscillation Theory of Delay Differential Equations Clarendon Press, Oxford (1991) [8] Jiang, J: Oscillation of second order nonlinear neutral delay difference equations Appl Math Comput...

Ngày tải lên: 21/06/2014, 17:20

... semi-position condition In this article, we are concerned with the existence of positive solutions for the following PBVPs of impulsive dynamic equations on time scales with semi-position condition  ... Bohner, M, Peterson, A: Dynamic Equations on Time Scales: An Introduction with Applications Birkhauser, Boston (2001) [20] Bohner, M, Peterson, A: Advances in Dynamic Equations on Time Scales Birkhauser, ... for impulsive differential equations and impulsive difference equations have received much attention [4–18] On the other hand, recently, the theory of dynamic equations on time scales has become...

Ngày tải lên: 21/06/2014, 17:20

... Dynamic Equations on Time Scales, Birkh¨ user, Boston, Mass, a USA, 2003 11 M Bohner and A Peterson, Dynamic Equations on Time Scales: An Introduction with Applications, Birkh¨ user, Boston, Mass, ... solution for second order nonlinear differential equations, ” Applied Mathematics and Computation, vol 162, no 3, pp 1227–1235, 2005 W G Kelley and A C Peterson, Difference Equations: An Introduction ... 1.4 , one can easily obtain the Sturm comparison theorem of second-order linear differential equations 1.3 Sturm-Picone Comparison Theorem Assume that x t and y t are the nontrivial solutions of...

Ngày tải lên: 21/06/2014, 20:20

... Benchohra, S Hamani, and J Henderson, “Functional differential inclusions with integral boundary conditions,” Electronic Journal of Qualitative Theory of Differential Equations, vol 2007, no 15, pp 1–13, ... nonlinear ordinary differential equations of second order ¨ in Banach spaces,” Nonlinear Analysis: Theory, Methods & Applications, vol 4, no 5, pp 985–999, 1980 32 S Szufla, On the application ... 18 N Heymans and I Podlubny, “Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives,” Rheologica Acta, vol 45, no 5,...

Ngày tải lên: 21/06/2014, 20:20

... Peterson, Dynamic Equations on Time Scales: An Introduction with Application, Birkh¨ user, Boston, Mass, USA, 2001 a R P Agarwal, M Bohner, and P Reh´ k, “Half-linear dynamic equations, ” in Nonlinear ... “Integration on measure chains,” in Proceedings of the 6th International Conference on Difference Equations, pp 239–252, CRC Press, Boca Raton, Fla, USA, 2004 11 K L Boey and P J Y Wong, “Positive ... pages, 2007 D R Anderson, “Solutions to second-order three-point problems on time scales,” Journal of Difference Equations and Applications, vol 8, no 8, pp 673–688, 2002 D R Anderson and I Y Karaca,...

Ngày tải lên: 21/06/2014, 20:20

... Bohner and A Peterson, Advances in Dynamic Equations on Time Scales, Birkh¨ user, Boston, Mass, a USA, 2003 L Erbe, “Oscillation results for second-order linear equations on a time scale,” Journal ... equations on time scales,” Computers & Mathematics with Applications, vol 49, no 4, pp 599–609, 2005 10 Y Sahiner, “Oscillation of second-order delay differential equations on time scales,” Nonlinear ... Difference Equations and Applications, vol 8, no 11, pp 1061–1071, 2002 S H Saker, “Oscillation criteria of second-order half-linear dynamic equations on time scales,” Journal of Computational and...

Ngày tải lên: 21/06/2014, 20:20