Articles with "mathematical theory" as a keyword



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Mathematical theory and simulations of thermoporoelasticity

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Published in 2020 at "Computer Methods in Applied Mechanics and Engineering"

DOI: 10.1016/j.cma.2020.113048

Abstract: Abstract In this paper we study the equations of semi-linear thermoporoelasticity. Starting point is the dimensionless formulation in van Duijn et al. (2019), which was obtained by a formal two-scale expansion. Nonlinearities in the equations… read more here.

Keywords: theory simulations; simulations thermoporoelasticity; system; mathematical theory ... See more keywords
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A quest toward a mathematical theory of the dynamics of swarms

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Published in 2017 at "Mathematical Models and Methods in Applied Sciences"

DOI: 10.1142/s0218202517500154

Abstract: This paper addresses some preliminary steps toward the modeling and qualitative analysis of swarms viewed as living complex systems. The approach is based on the methods of kinetic theory and statistical mechanics, where interactions at… read more here.

Keywords: theory dynamics; theory; toward mathematical; quest toward ... See more keywords