The Experts below are selected from a list of 56208 Experts worldwide ranked by ideXlab platform
Andrey E. Kovtanyuk - One of the best experts on this subject based on the ideXlab platform.
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inhomogeneous Steady State Problem of complex heat transfer
2017Co-Authors: Alexander Yu. Chebotarev, Gleb V Grenkin, Andrey E. KovtanyukAbstract:An inhomogeneous Steady-State Problem of radiative-conductive heat transfer in a three-dimensional domain is studied in the framework of the P1 approximation of the nonlinear complex heat transfer model. The unique solvability of the Problem is proved. The Lyapunov stability of solutions is shown.
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nonlocal unique solvability of a Steady State Problem of complex heat transfer
2016Co-Authors: Andrey E. Kovtanyuk, Yu A ChebotarevAbstract:A boundary value Problem of radiative–conductive–convective heat transfer in a threedimensional domain is proved to be uniquely solvable. An iterative algorithm is proposed for finding its solution.
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Strong Optimal Controls in a Steady-State Problem of Complex Heat Transfer
2015Co-Authors: Alexander Yu. Chebotarev, Andrey E. Kovtanyuk, Nikolai D. Botkin, Karl-heinz HoffmannAbstract:An optimal control Problem of Steady-State complex heat transfer with monotone objective functionals is under consideration. A coefficient function appearing in boundary conditions and reciprocally corresponding to the reflection index of the domain surface is considered as control. The concept of strong maximizing (resp. strong minimizing) optimal controls, i.e. controls that are optimal for all monotone objective functionals, is introduced. The existence of strong optimal controls is proven, and optimality conditions for such controls are derived. An iterative algorithm for computing strong optimal controls is proposed.
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Steady State Problem of complex heat transfer
2014Co-Authors: Andrey E. Kovtanyuk, Yu A ChebotarevAbstract:The Problem of radiative-conductive-convective heat transfer in a threedimensional domain is studied. The existence of a weak solution of the Problem is proved, and sufficient conditions for the uniqueness of a solution are found. The temperature distribution in a threedimensional chan� nel is determined in numerical experiments.
Alexander Yu. Chebotarev - One of the best experts on this subject based on the ideXlab platform.
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inhomogeneous Steady State Problem of complex heat transfer
2017Co-Authors: Alexander Yu. Chebotarev, Gleb V Grenkin, Andrey E. KovtanyukAbstract:An inhomogeneous Steady-State Problem of radiative-conductive heat transfer in a three-dimensional domain is studied in the framework of the P1 approximation of the nonlinear complex heat transfer model. The unique solvability of the Problem is proved. The Lyapunov stability of solutions is shown.
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Strong Optimal Controls in a Steady-State Problem of Complex Heat Transfer
2015Co-Authors: Alexander Yu. Chebotarev, Andrey E. Kovtanyuk, Nikolai D. Botkin, Karl-heinz HoffmannAbstract:An optimal control Problem of Steady-State complex heat transfer with monotone objective functionals is under consideration. A coefficient function appearing in boundary conditions and reciprocally corresponding to the reflection index of the domain surface is considered as control. The concept of strong maximizing (resp. strong minimizing) optimal controls, i.e. controls that are optimal for all monotone objective functionals, is introduced. The existence of strong optimal controls is proven, and optimality conditions for such controls are derived. An iterative algorithm for computing strong optimal controls is proposed.
Rutherford Aris - One of the best experts on this subject based on the ideXlab platform.
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on shape factors for irregular particles i the Steady State Problem diffusion and reaction
1995Co-Authors: Rutherford ArisAbstract:The Problem of heat or matter transfer for a bed of spherical particles has been fully solved by Amundson. In this paper we consider the modifications which must be made in Steady State solution when the bed may consist of irregularly shaped particles. Considering the case of diffusion limitation of a first order reaction it is shown that the results for all shapes will lie close together if the characteristic dimension of the particle is taken to be vp/sx, the ratio of its volume to its external surface area.
Yu A Chebotarev - One of the best experts on this subject based on the ideXlab platform.
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nonlocal unique solvability of a Steady State Problem of complex heat transfer
2016Co-Authors: Andrey E. Kovtanyuk, Yu A ChebotarevAbstract:A boundary value Problem of radiative–conductive–convective heat transfer in a threedimensional domain is proved to be uniquely solvable. An iterative algorithm is proposed for finding its solution.
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Steady State Problem of complex heat transfer
2014Co-Authors: Andrey E. Kovtanyuk, Yu A ChebotarevAbstract:The Problem of radiative-conductive-convective heat transfer in a threedimensional domain is studied. The existence of a weak solution of the Problem is proved, and sufficient conditions for the uniqueness of a solution are found. The temperature distribution in a threedimensional chan� nel is determined in numerical experiments.
Changyou Wang - One of the best experts on this subject based on the ideXlab platform.
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global asymptotic stability of positive equilibrium of three species lotka volterra mutualism models with diffusion and delay effects
2010Co-Authors: Changyou Wang, Shu Wang, Fuping Yang, Linrui LiAbstract:In the mutualism system with three species if the effects of dispersion and time delays are both taken into consideration, then the densities of the cooperating species are governed by a coupled system of reaction–diffusion equations with time delays. The aim of this paper is to investigate the asymptotic behavior of the time-dependent solution in relation to a positive uniform solution of the corresponding Steady-State Problem in a bounded domain with Neumann boundary condition, including the existence and uniqueness of a positive Steady-State solution. A simple and easily verifiable condition is given to ensure the global asymptotic stability of the positive Steady-State solution. This result leads to the permanence of the mutualism system, the instability of the trivial and all forms of semitrivial solutions, and the nonexistence of nonuniform Steady-State solution. The condition for the global asymptotic stability is independent of diffusion and time-delays as well as the net birth rate of species, and the conclusions for the reaction–diffusion system are directly applicable to the corresponding ordinary differential system and 2-species cooperating reaction–diffusion systems. Our approach to the Problem is based on inequality skill and the method of upper and lower solutions for a more general reaction–diffusion system. Finally, the numerical simulation is given to illustrate our results.