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Comparison between the MINC and MRMT Configurations: The n-dimensional Case

Abstract

MINC (Multiple INteracting Continua) and MRMT (Multiple-Rate Mass Transfer) are mathematical schemes used to modelling transport and difussion in fractured porous media. The main difference between them is the connectivity structure. MINC has a chained type structure (line form) and MRMT has a star-shaped connectivity structure. The goal is show that for a large class of finite dimensional input-output positive systems that represents transport and diffusion there exists a MRMT and MINC representation.
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Dates and versions

hal-01154436 , version 1 (21-05-2015)

Identifiers

  • HAL Id : hal-01154436 , version 1

Cite

Alejandro Rojas-Palma, Alain Rapaport, Jean-Raynald de Dreuzy, Hector Ramirez. Comparison between the MINC and MRMT Configurations: The n-dimensional Case. SIAM Conference on Control & Applications CT15, Jul 2015, Paris, France. ⟨hal-01154436⟩
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