Controllability of a class of heat equations with memory in one dimension
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DOI: 10.1002/mma.4221
Abstract: This paper addresses a study of the controllability for a class of heat equations with memory in one spacial dimension. Unlike the classical heat equation, a heat equation with memory in general is not null… read more here.
Keywords: class heat; equations memory; heat equations; controllability ... See more keywords
Conservative domain decomposition schemes for solving two-dimensional heat equations
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DOI: 10.1007/s40314-019-0767-y
Abstract: In this paper, by combining the operator splitting technique, a new mass-conserved domain decomposition method for two-dimensional heat equations is proposed. Along the each direction, the interface fluxes are first calculated from the explicit fluxes,… read more here.
Keywords: two dimensional; heat equations; dimensional heat; domain decomposition ... See more keywords
Asymptotic behavior of fractional stochastic heat equations in materials with memory
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DOI: 10.1080/00036811.2019.1597057
Abstract: This paper deals with the asymptotic behavior of solutions for a fractional stochastic integro-differential equation driven by additive noise with . We first apply the Galerkin method to prove the existence and uniqueness of solutions… read more here.
Keywords: asymptotic behavior; behavior fractional; heat equations; equations materials ... See more keywords
Fault Detectability Conditions for Linear Deterministic Heat Equations
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DOI: 10.1109/lcsys.2018.2872215
Abstract: With the rise of distributed and connected modern engineering systems, the need for safe and reliable distributed parameter systems is becoming increasingly prominent. However, fault detection of partial differential equation systems remains relatively unexplored compared… read more here.
Keywords: fault detectability; detectability conditions; detectability; heat equations ... See more keywords