injection induced flows in porous walled ducts analyse theorique de l ecoulement dans des tubes et canaux a paroi poreuse on tient compte des effets de compressibilite de conditions aux limites non ideales et de transition turbulente sur le developpement de l ecoulement on utilise un modele de turbulence a contrainte de reynolds et un schema de differences finies implicite pour resoudre le systeme d equations paraboliques resultant

a class of global fractional order projective dynamical systems involving set valued perturbations this paper studies a class of global fractional order projective dynamical systems involving set valued perturbations in real separable hilbert spaces we prove that the set of solutions for this type of systems is nonempty and closed under some suitable conditions furthermore we show that the set of solutions is continuous with respect to initial value in the sense of hausdorff metric finally an interesting numerical example is given to illustrate the validity of the main theorem presented in this paper

three step iterative algorithm for a system of set valued variational inclusions with h η monotone operators abstract in this paper we introduce and study a new system of set valued variational inclusions with h monotone operators we prove the convergence of a new three step iterative algorithm for this system of set valued variational inclusions the results in this paper extend and improve some known results from the literature

on steady rotational high speed flows the compressible taylor culick profile we consider the compressible flow analogue of the well known taylor culick profile we first present the compressible euler equations for steady axisymmetric isentropic flow assuming uniform injection of a calorically perfect gas in a porous chamber we then apply the rayleigh janzen expansion in powers of m 2 w where mw is the wall mach number we solve the ensuing equations to the order of m 4 w and apply the results up to the sonic point in a nozzleless chamber area averaging is also performed to reconcile with one dimensional theory our solution agrees with the existing theory to the extent that it faithfully captures the steepening of the taylor culick profile with downstream movement based on the closed form expressions that we obtain the main flow attributes are quantified parametrically and compared to the existing incompressible and quasi one dimensional theories verification by computational fluid dynamics is also undertaken comparison with two turbulent flow models shows excellent agreement particularly in retracing the streamwise evolution of the velocity regardless of the mach number we observe nearly identical trends in chambers that are rescaled by the critical sonic length ls using a suitable transformation we prove the attendant similarity and provide universal criteria that can be used to assess the relative importance of gas compression in solid rocket motors owing to sharper velocity gradients at the wall we find that an incompressible model underestimates the skin friction along the wall and underpredicts the centreline speed by as much as 13 at the sonic point in practice such deviations become appreciable at high injection rates or chamber aspect ratios

perturbed proximal point algorithms for general quasi variational like inclusions in this paper we introduce two new concepts of subdifferential and proximal mappings of proper functionals on hilbert spaces the existence and lipschitz continuity of proximal mapping of a proper functional are proved by applying these concepts we introduce and study a class of general quasi variational like inclusions and develop some new perturbed proximal point algorithms of mann and ishikawa type for finding the approximate solutions of the general quasi variational like inclusions the convergence criteria of the sequences of approximate solutions generated by these new algorithms are also discussed our algorithms and results improve and generalize many known results in the literature

factorization of minty and stampacchia variational inequality systems abstract in this paper sufficient regularity and coercivity conditions for minty and stampacchia type variational inequality systems are offered the typical results state that if the independent inequalities are solvable and the functions involved are lower semicontinuous then the system has also a solution that is a factorization principle holds as an application a variational inequality system consisting of two partial differential inequalities is considered this result is analogous to that of chen journal of mathematical analysis and application 231 1999 177 obtained for one variational inequality

general over relaxed proximal point algorithm involving a maximal relaxed monotone mappings with applications abstract a general framework for the over relaxed proximal point algorithm based on the notion of a maximal relaxed monotonicity is developed and then the convergence analysis in the context of solving a general class of nonlinear implicit inclusion problems is explored furthermore some auxiliary results of interest involving a maximal relaxed monotone mappings in a hilbert space setting are included

temporal and acoustic accuracy of an implicit upwind method for ducted flows an implicit time accurate method for ducted flow aeroacoustics is presented the method is unfactored using line gauss seidel relaxation and multiple axial sweeps for convergence of each time step

a computational model for metric spaces for every metric space x we define a continuous poset bx such that x is homeomorphic to the set of maximal elements of bx with the relative scott topology the poset bx is a dcpo iff x is complete and continuous iff x is separable the computational model bx is used to give domain theoretic proofs of banach s fixed point theorem and of two classical results of hutchinson on a complete metric space every hyperbolic iterated function system has a unique non empty compact attractor and every iterated function system with probabilities has a unique invariant measure with bounded support we also show that the probabilistic power domain of bx provides an continuous computational model for measure theory on a separable complete metric space x

projection methods algorithms and a new system of nonlinear variational inequalities abstract the convergence of projection methods is based on a new iterative algorithm for the approximation solvability of the following system of nonlinear variational inequalities snvi determine elements x y k such that t y x y x x 0 for all x k and for 0 and t x y x x y 0 for all x k and for 0 where t k h is a mapping from a nonempty closed convex subset k of a real hilbert space h into h this new class of generalized nonlinear variational inequalities reduces to standard class of nonlinear variational inequalities which are widely studied and applied to various problems arising from mathematical sciences optimization and control theory and other related fields

the oscillatory pipe flow with arbitrary wall injection the linearized navierstokes equations play a central role in describing the unsteady motion of a viscous fluid inside a porous tube asymptotic solutions of these equations have been found and here

a perturbed algorithm for variational inclusions a perturbed method for solving a new class of variational inclusions is presented and a convergence result which includes as a special case some known results in this field is given

mann and ishikawa type perturbed iterative algorithms for generalized quasivariational inclusions abstract in this paper we introduce a class of generalized quasivariational inclusions and show its equivalence with a class of fixed point problems by making use of the properties of proximal maps using this equivalence we develop the mann and ishikawa type perturbed iterative algorithms for this class of generalized quasivariational inclusions further using fixed point techniques we prove the existence of solutions for the class of generalized quasivariational inclusions and discuss the convergence criteria for the perturbed algorithms our algorithms and results improve and generalize many known corresponding algorithms and results

a system of generalized variational inclusions involving generalized h accretive mapping in real q uniformly smooth banach spaces abstract in this paper we consider a class of accretive mappings called generalized h accretive mappings in banach spaces we prove that the proximal point mapping of the generalized h accretive mapping is single valued and lipschitz continuous further we consider a system of generalized variational inclusions involving generalized h accretive mappings in real q uniformly smooth banach spaces using proximal point mapping method we prove the existence and uniqueness of solution and suggest an iterative algorithm for the system of generalized variational inclusions furthermore we discuss the convergence criteria of the iterative algorithm under some suitable conditions our results can be viewed as a refinement and improvement of some known results in the literature

general implicit variational inclusion problems based on a maximal m relaxed monotonicity amrm frameworks a general framework for an algorithmic procedure based on the variational convergence of operator sequences involving a maximal m relaxed monotone amrm mappings in a hilbert space setting is developed and then it is applied to approximating the solution of a general class of nonlinear implicit inclusion problems involving a maximal m relaxed monotone mappings furthermore some specializations of interest on existence theorems and corresponding approximation solvability theorems on h maximal monotone mappings are included that may include several other results for general variational inclusion problems on general maximal monotonicity in the literature

a new system of variational inclusions with h η monotone operators in hilbert spaces in this paper we introduce and study a new system of variational inclusions involving h h monotone operators in hilbert space using the resolvent operator associated with h h monotone operators we prove the existence and uniqueness of solutions for this new system of variational inclusions we also construct a new algorithm for approximating the solution of this system and discuss the convergence of the sequence of iterates generated by the algorithm

an iterative method for a system of generalized mixed quasi variational inclusions with a η monotone mappings in this paper we introduce and consider a new system of generalized mixed quasi variational inclusions with a h monotone mappings we prove the convergence of a new iterative algorithm for this system of generalized mixed quasi variational inclusions our results can be viewed as a refinement and improvement of the previously known results in the literature

on generalized set valued variational inclusions abstract we point out a basic flaw made by m a noor 1998 j math anal appl 228 206 220 construct a new iterative algorithm for a class of variational inclusions involving non monotone set valued mappings with noncompact values and study the convergence of the perturbed ishikawa iterative process for solving a class of the generalized single valued variational inclusions

convex power domain and vietoris space abstract in this paper the maximal point spaces mp space in short of convex power domains are investigated some characterizations of the maximal points of convex power domains are obtained it is proved that for a scott compact continuous domain d convex power domain c d is a domain hull of its maximal points max c d if each element of max c d is generated by a compact subset of max d in this case the space max c d can be identified with the compact subsets com max d of max d and the vietoris topology on com max d is the topology inherited from the convex power domain finally an example is given to show that even for a weakly compact continuous domain its convex power domain need not be a domain hull of the maximal points

on a new system of generalized mixed quasi variational like inclusions involving a η m accretive operators with applications in this paper we introduce a new and interesting system of generalized mixed quasi variational like inclusions with a h m accretive operators and relaxed cocoercive mappings which contains variational inequalities variational inclusions systems of variational inequalities systems of variational like inequalities and systems of variational inclusions in the literature as special cases by using the resolvent technique for the a h m accretive operators we prove the existence of solutions and the convergence of a new p step iterative algorithm for this system of generalized mixed quasi variational like inclusions in real q uniformly smooth banach spaces the results in this paper unifies extends and improves some known results in the literature

a new system of variational inclusions involving h accretive operator in banach spaces in this paper we introduced and study a new class of system of variational inclusions involving h accretive operator in banach spaces by using the resolvent operator technique associated with h accretive operator we prove the existence of the solution for the system of inclusions and develop a step controlled iterative algorithm to approach the unique solution

on computational environments of topological spaces as has been disclosed by k martin a large number of important topological spaces do not have any continuous domain as their computational model so it is of interest to study new kinds of pragmatic computational environments so as to model more topological spaces in this paper we focus on bounded complete continuous posets with enough maximal points which are shown to be a good choice for computational environments of tychonoff spaces with no directed complete model it is proved that the maximal point space of a choquet complete weak domain is also choquet complete furthermore it is proved that x is a tychonoff space iff x has a bounded complete weak domain environment and it is also shown that hausdorff compactifications of tychonoff spaces can be realized via some of their computational environments

a new system of generalized quasi variational like inclusion in hilbert spaces in this paper we consider a new system of generalized quasi variational like inclusion sgqvli in hilbert spaces we suggest a new iterative algorithm for finding an approximate solution to sgqvli and prove the convergence of this algorithm our results improve and extend some known results

iterative algorithms for a new system of nonlinear variational inclusions with a η accretive mappings in banach spaces in this paper we introduce and study a new system of nonlinear variational inclusions with a h accretive mappings in banach spaces by using the resolvent operator associated with a h accretive mappings we construct some new iterative algorithms for approximating the solution of this system of variational inclusions we also prove the existence of solutions and the convergence of the sequences generated by the algorithm in banach spaces the results presented in this paper extend and improve some known results in the literature

graph convergence for the h accretive operator in banach spaces with an application abstract in this paper a concept of graph convergence concerned with the h accretive operator is introduced in banach spaces and some equivalence theorems between of graph convergence and resolvent operator convergence for the h accretive operator sequence are proved as an application a perturbed algorithm for solving a class of variational inclusions involving the h accretive operator is constructed under some suitable conditions the existence of the solution for the variational inclusions and the convergence of iterative sequence generated by the perturbed algorithm are also given

perturbed algorithms and sensitivity analysis for a general class of variational inclusions in the present paper we study a perturbed iterative method for solving a general class of variational inclusions an existence result which generalizes some known results in this field a convergence result and a new iterative method are given we also prove the continuity of the perturbed solution to a parametric variational inclusion problem several special cases are discussed

mann and ishikawa type perturbed iterative algorithms for generalized nonlinear implicit quasi variational inclusions abstract in this paper we introduce a new class of generalized nonlinear implicit quasi variational inclusions and prove its equivalence with a class of fixed point problems by making use of the properties of maximal monotone we also prove the existence of solutions for this generalized nonlinear implicit quasi variational inclusions and the convergence of iterative sequences generated by the perturbed algorithms

turbularization of an acoustic boundary layer on a transpiring surface turbularization of an acoustic boundary layer stokes layer on impermeable and permeable surfaces is analytically considered the theoretical approach utilizes a second order closure model of turbulence both an approximate closed form solution and a more comprehensive finite difference solution of the time dependent parabolic one dimensional governing equations are obtained for simple acoustic boundary layers on impermeable surfaces both the approximate solution and the numerical results for the critical acoustic mach number required for turbulent transition are qualitatively confirmed by experiment the calculations for acoustic boundary layers with transpiration injection indicate a substantial reduction of the acoustic mach number required for transition up to a limiting injection velocity that is frequency dependent the results may provide a mechanism for flow related combustion instability in practical systems particularly solid propellant rockets since turbularization of the near surface combustion zone could result at relatively low acoustic mach numbers

the over relaxed proximal point algorithm based on h maximal monotonicity design and applications first the general framework for a generalized over relaxed proximal point algorithm using the notion of h maximal monotonicity also referred to as h monotonicity is developed and then the convergence analysis for this algorithm in the context of solving a general class of nonlinear inclusion problems is examined along with some auxiliary results on the resolvent operators corresponding to h maximal monotonicity

h monotone operator and resolvent operator technique for variational inclusions in this paper we introduce a new class of monotone operators h monotone operators the resolvent operator associated with an h monotone operator is defined and its lipschitz continuity is presented we also introduce and study a new class of variational inclusions involving h monotone operators and construct a new algorithm for solving this class of variational inclusions by using the resolvent operator technique

general strongly nonlinear variational inequalities abstract in this paper we develop iterative algorithms for finding approximate solutions for new classes of variational and quasivariational inequalities which include as a special case some known results in this field it is shown that the solutions of the iterative schemes converge to the exact solutions

h accretive operator with an application for solving variational inclusions in banach spaces abstract in this paper a new h accretive operator is introduced in banach spaces and the lipschitzian continuity of the resolvent operator for the h accretive operator is showed by using the technique of resolvent operator an iterative algorithm for solving a class of variational inclusions is constructed under some suitable conditions the existence of the solution for the variational inclusions and the convergence of iterative sequence generated by the algorithm is proved some illustrative examples are also given