Results 31 to 40 of about 278,997 (212)
Space–Time Radial Basis Function–Based Meshless Approach for Solving Convection–Diffusion Equations
Mathematics, 2020 This article proposes a space–time meshless approach based on the transient radial polynomial series function (TRPSF) for solving convection–diffusion equations.
Cheng-Yu Ku, Jing-En Xiao, Chih-Yu Liu
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Some Inverse Problems for Convection-Diffusion Equations
Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software", 2014 We examine the well-posedness questions for some inverse problems in the mathematical models of heat-and-mass transfer and convection-di usion processes. The coe cients and right-hand side of the system are recovered under certain additional overdetermination conditions, which are the integrals of a solution with weights over some collection of domains.
Pyatkov, S., Safonov, E.
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Parabolic approximations of the convection-diffusion equation [PDF]
Mathematics of Computation, 1993 We propose an approximation of the convection-diffusion operator which consists in the product of two parabolic operators. This approximation is much easier to solve than the full convection-diffusion equation, which is elliptic in space. We prove that this approximation is of order three in the viscosity and that the classical parabolic approximation ...
Lohéac, J. P. +2 more
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Carleman estimate for solutions to a degenerate convection-diffusion equation
, 2018 This paper concerns a control system governed by a convection-diffusion equation, which is weakly degenerate at the boundary. In the governing equation, the convection is independent of the degeneracy of the equation and cannot be controlled by the ...
Chunpeng Wang +3 more
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A Uniqueness Result for an Inverse Problem of the Steady State Convection-Diffusion Equation [PDF]
SIAM Journal on Mathematical Analysis, 2014 We consider the inverse boundary value problem for the steady state convection-diffusion equation. We prove that a velocity field $V$ is uniquely determined by the Dirichlet-to-Neumann map when $V\in C^{0,\gamma}(\Omega)$, $2 ...
V. Pohjola
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Higher-Order Compact Finite Difference for Certain PDEs in Arbitrary Dimensions
Journal of Function Spaces, 2020 In this paper, we first present the expression of a model of a fourth-order compact finite difference (CFD) scheme for the convection diffusion equation with variable convection coefficient.
Yan Gao, Songlin Liu
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Multiscale Stochastic Homogenization of Convection-Diffusion Equations [PDF]
Applications of Mathematics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the uniqueness of linear convection–diffusion equations with integral boundary conditions
Comptes Rendus. Mathématique, 2023 We investigate a class of convection–diffusion equations in an expanding domain involving a parameter, where we consider integral boundary conditions that depend non-locally on unknown solutions.
Lee, Chiun-Chang +2 more
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Convection–diffusion equations with random initial conditions [PDF]
Journal of Mathematical Analysis and Applications, 2019 We consider an evolution equation generalising the viscous Burgers equation supplemented by an initial condition which is a homogeneous random field. We develop a non-linear framework enabling us to show the existence and regularity of solutions as well as their long time behaviour.
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Asymptotic profiles of solutions to convection–diffusion equations [PDF]
Comptes Rendus. Mathématique, 2004 The large time behavior of zero-mass solutions to the Cauchy problem for the convection–diffusion equation u t -u xx +(|u| q ) x =0,u(x,0)=u 0 (x) is studied when q>1 and the initial datum u0 belongs to L 1 (ℝ,(1+|x|)dx) and satisfies ∫ ℝ u 0 (x)dx=0.
Benachour, Said +2 more
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