Nonlinear Convection
Hölder inequality applied on a non Newtonian fluid equation with a nonlinear convection term and a source term
... a nonlinear convection term and a source ...the convection term are degenerate on the boundary, then the stability of the weak solutions may be proved without the boundary value ...
21
An Upwind Finite Volume Element Method for Nonlinear Convection Diffusion Problem
... [16] M. Feistauer, J. Slavik and P. Stupka, “On the Conver- gence of a Combined Finite Volume-Finite Element Me- thod for Nonlinear Convection-Diffusion Problems,” Nu- merical Methods for Partial ...
7
Superconvergence of the local discontinuous Galerkin method for nonlinear convection diffusion problems
... In this paper, we discuss the superconvergence of the local discontinuous Galerkin methods for nonlinear convection-diffusion equations. We prove that the numerical solution is (k + 3/2)th-order ...
20
Effects of slip on nonlinear convection in nanofluid flow on stretching surfaces
... The effect of momentum, thermal, and solute slip on nonlinear convection boundary layer flow from a stretching and shrinking sheet has been investigated numerically. Analysis of stagnation-point slip flow from ...
11
Numerical Simulation by Galerkin Method of 2D Nonlinear Convection-Diffusion
... Transient Nonlinear Convection-Diffusion Equation using the Galerkin ...the nonlinear terms, the Galerkin Method for spatial discretization and the Finite Differences Method for calculating the ...
7
On anisotropic parabolic equations with a nonlinear convection term depending on the spatial variable
... Consider an anisotropic parabolic equation with a nonlinear convection term depending on the spatial variable. If the diffusion coefficients are degenerate, in general, the boundary trace cannot be defined for ...
26
BLOW-UP FOR DISCRETIZATIONS OF SOME REACTION-DIFFUSION EQUATIONS WITH A NONLINEAR CONVECTION TERM
... a nonlinear convection term have been theoretically studied by many authors (see [3], [6], [7], [8], [9], [24], [25], [26] and the references cited ...
32
Positive global solutions of nonlocal boundary value problems for the nonlinear convection reaction-diffusion equations
... nique and Schauder estimates; lastly, some results on a positive local solution and the uniqueness of positive solutions for problem (.) are derived. In Section , the discus- sion focuses on the positive global ...
13
Periodic Solutions of Evolution m Laplacian Equations with a Nonlinear Convection Term
... Yin, “Periodic solutions of evolution p-Laplacian equations with weakly nonlinear sources,” International Journal of Mathematics, Game Theory, and Algebra, vol.. Wang, “L½ estimates of s[r] ...
10
Resolution of Nonlinear Convection - Diffusion - Reaction Equations of Cauchy Kind by the Laplace SBA Method
... Abstract. In this paper, we proposed the solution of few non linear partial differential equations modelling diffusion, convection and reaction problems Cauchy kind. The Laplace SBA method based on combination of ...
19
Existence and Uniqueness of Very Singular Solution of a Degenerate Parabolic Equation with Nonlinear Convection
... with convection on half line under the homogeneous Neumann boundary condition; see 14–17 and another important application aries in the problem about the evolution of interfaces of compactly supported solutions of ...
16
Analysis of the shearing instability in nonlinear convection and magnetoconvection
... interesting nonlinear dynamics in the presence of two reection ...in convection in a horizontal magnetic eld (Lantz 1995 Brownjohn et al 1995), in models of ...
45
Blow-up rates and uniqueness of entire large solutions to a semilinear elliptic equation with nonlinear convection term
... 22. Giarrusso, E.: On blow up solutions of a quasilinear elliptic equation. Math. Nachr. 213, 89–104 (2000) 23. Gilbarg, D., Trudinger, N.S.: Elliptic Partial Differential Equations of Second Order, 3rd edn. Springer, ...
14
The effect of Coriolis force on nonlinear convection in a porous medium
... The main purpose of studying the present problem is to develop a simple variational method to obtain at least some qualitative results from the maximizing nonlinear convecting fluid in a[r] ...
22
Periodic solutions of a quasilinear parabolic equation with nonlinear convection terms
... weakly nonlinear sources and non- linear convection terms. The convection term b(u) · ∇u describes an effect of convection with a velocity field ...
7
Compact and stable discontinuous Galerkin methods for convection diffusion problems
... solving nonlinear convection-diffusion problems together with a detailed comparison to other well-accepted DG ...scalar convection-diffusion equation, and for the compressible Navier–Stokes equations, ...
21
Exponential basis and exponential expanding grids third (fourth) order compact schemes for nonlinear three dimensional convection diffusion reaction equation
... On uniformly spaced grid points, the composite of averaging and central-difference op- erator yields second-order accuracy to the first-order partial derivatives, while the second central-difference operator results in ...
27
Axially symmetric and latitudinally propagating nonlinear patterns in rotating spherical convection
... its nonlinear developments near the threshold 0 < [ Ra − ( Ra ) c ]/( Ra ) c ≪ 1 cannot be predicted on the basis of the result of linear stability ...of convection must be broken by nonlinear ...
5
Evolutionary p-Laplacian with convection and reaction under dynamic boundary condition
... coupled with dynamic boundary conditions. The well-posedness and the existence of a global attractor results were established. More recently, Mailly and Rault [] studied the nonlinear convection problem ...
15
Travelling Waves in Space Fractional Nonlinear Diffusion with Linear Convection
... We introduce the space-fractional model based on Riesz fractional derivative with nonlinear diffusion in conjunction linear convection. We obtain the explicit travelling wave solution, with finite ...
7