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On the Boundary Controllability of a Semilinear Degenerate System With the Convection Term
Applied Mathematics and Computation, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Runmei Du, Fengdan Xu
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Sublinear elliptic systems with a convection term
Communications in Partial Differential Equations, 2020In this paper, we study existence and properties of solutions for some nonlinear elliptic systems like {−div(A(x)∇u)+u=−div(u M(x)∇ψ)+f(x),−div(M(x)∇ψ)=uθ.
Lucio Boccardo, Orsina
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Discretization of the Convection Term
2015So far, the discretization of the general steady diffusion equation has been formulated on orthogonal, non-orthogonal, structured, and unstructured grids. Another important term, the convection term represented by the divergence operator, is the focus of this chapter.
F. Moukalled, L. Mangani, M. Darwish
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Dirichlet problems for the p-Laplacian with a convection term
Revista Matemática Complutense, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
García-Melián, Jorge +2 more
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EFFECT OF THE CONVECTIVE INERTIA TERM ON BENARD CONVECTION IN A POROUS MEDIUM
Numerical Heat Transfer, Part A: Applications, 1992The thermal impact of the convective inertia term, which resembles the term used in the Navier-Stokes equation for pure fluids, is investigated numerically considering Benard convection in a fluid-saturated porous medium. There has been some theoretical discussion in the archival literature about the correctness of including an inertia term in the form
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High order “ZIP” differencing of convective terms
Journal of Computational Physics, 1981The ZIP flux form for differencing the term (wv)x, where w is a convected quantity and v is a convective velocity, is observed to be equivalent to differencing the alternative expression wvx + wxv using centered second order finite differences. The advantage of this form is that one class of nonlinear computational instabilities is eliminated. Based on
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Comparison of Convective Terms’ Approximations in DES Family Methods
Mathematical Models and Computer Simulations, 2022Summary: The central-difference and upwind schemes for the convective terms of the gas dynamics equations are considered, as well as their interaction, carried out using various transition and weight functions. Testing was carried out on a model problem of the decay of homogeneous isotropic turbulence.
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Long-Term Evolution of Convectively Unstable Disk
Proceedings of the International Astronomical Union, 2020AbstractWe continue studying convection as a possible factor of episodic accretion in protoplanetary disks. Within the model of a viscous disk, the accretion history is analyzed at different rates and regions of matter inflow from the envelope onto the disk. It is shown that the burst-like regime occurs in a wide range of parameters.
Lomara Maksimova, Yaroslav Pavlyuchenkov
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Parabolic Equations with Dominating Convection Terms
1983During the past few years much attention has been given to the numerical solution of model equations describing two completely different physical phenomena. Due to the presence of terms in one equation describing different physical processes these equations can be very hard to solve numerically and several specialised numerical schemes have been ...
B. M. Herbst, S. W. Schoombie
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Elliptic systems with logarithmic convection terms
Analysis and ApplicationsWe prove existence of solutions for the system [Formula: see text] in the cases [Formula: see text] and [Formula: see text] which leads to a singular second equation.
Lucio Boccardo, Luigi Orsina
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