New Models for the Solution of Intermediate Regimes in Transport Theory and Radiative Transfer: Existence Theory, Positivity, Asymptotic Analysis, and Approximations

作者: M. Tidriri

DOI: 10.1023/A:1010365812733

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摘要: In this paper we propose, derive, and establish the mathematical foundations of new models for solution intermediate regimes in transport theory radiative transfer. These consist coupling equations with their diffusion approximations. Our includes existence theory, positivity solutions, asymptotic analysis. We also give rate decay. order to solve coupled problem propose use transmission time marching algorithm introduced studied refs. 10, 13–15. then study convergence resulting algorithm. studies are based an essential way on methods 14, 15.

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