[PDF] Top 20 On the Existence and Uniqueness of Solutions for Nonlinear System Modeling Three Dimensional Viscous Stratified Flows

... Navier-Stokes system (see, for example, [11]-[14]). However, the non-linear system modelling stratified viscous flows have not been studied mathematically yet, and thus our research was ... See full document

... Motivated by above works, under various appropriate assumptions on p , q and K t ( ) , we will obtain the existence and uniqueness of positive solution of problem (1.1) for λ in different circumstances. In ... See full document

... Compared with [] and [], we not only generalize the boundary conditions but also consider the derivative term. As far as we know, few papers can be found in the literature on the existence and uniqueness ... See full document

... the existence and uniqueness of solutions to complex-valued nonlinear impulsive differential ...the existence and uniqueness of so- lutions to complex-valued differential ... See full document

... tence, uniqueness and regularity of entropy or renormalized solutions to such problems with q =  and F ≡ ; see [] and [] for ...the existence of bounded weak solutions to this type of ... See full document

... parabolic system coupled with general nonlinear ...local existence of solutions to the Dirichlet initial boundary value ...the uniqueness of the solution if the reaction terms satisfy ... See full document

... the existence, the nonexistence, and the uniqueness of solutions of some special systems of nonlinear elliptic equations with boundary ...the system reduces to the homogeneous Dirichlet ... See full document

... tions, e and g respectively denote the T -periodic and T -periodic in the first argument and T > . However, to the best of our knowledge, most authors mentioned above have only considered the existence of ... See full document

... In this paper we investigate the existence and uniqueness for Volterra-Fredholm type integral equa- tions and extension of this type of integral equations. The result is obtained by using the coupled fixed ... See full document

... Boussinesq system is one of the most commonly used fluid models since it has a vor- tex stretching effect similar to that in the D incompressible ...Boussinesq system has an important roles in the ... See full document

... L iapunov 1 s Direct Method for stability has the advantage that it does not r equir e any knowledge of the solution except the knowl edge that i t satisfy a certain differential equatio[r] ... See full document

... The nonlinear fractional evolution equation is a general form for fractional ordinary dif- ferential equations, fractional partial differential equations, and fractional functional dif- ferential equations related ... See full document

... duce some preliminary results, including basic defini- tions of fractional integrals and derivatives, some proper- ties and a fixed point theorems. In section 3, by applying some standard fixed point principles, we prove ... See full document

... dierential equations that model steady-state combined radiative-conductive heat transfer. Our approach uses two dierent formulations of the system as a compact xed-point problem. One formulation, which has been ... See full document

... V TABLE OF CONTENTS STATEMENT ii ACKNOWLEDGEMENTS iii iv ABSTRACT INTRODUCTION CHAPTER 1 1.0 The equations to be solved 1 1.1 Exact solutions 4 1.2 Approximate solutions 5 EXISTENCE, UNI[r] ... See full document

... of existence and uniqueness of positive solutions to a class of coupled system with multi-point boundary conditions of nonlinear fractional order differential ...of nonlinear ... See full document

... global existence, the authors of [1] used the Galerkin ap- proximation method and the monotonicity method (see ...the existence and uniqueness of weak solutions to a class of nonlinear ... See full document

... introduction, existence results for the three-dimensional Navier– Stokes equations in such critical spaces have received much attention in recent years, the standard technique being to recast the ... See full document

... The system was extended by Baleanu et al [12] to multi-point hybrid system and studied sufficient conditions for existence and uniqueness of solutions to the following coupled ... See full document

... DOI: 10.4236/oalib.1105163 3 Open Access Library Journal globally modified Bénard system with delays under local Lipschitz conditions. This paper is organized as follows. In Section 2, we recall some definitions ... See full document