Sliding Mode Control for an Inhomogeneous Heat Equation with Global Constraint
Sign Up to like & getrecommendations! Published in 2017 at "Asian Journal of Control"
DOI: 10.1002/asjc.1607
Abstract: In this paper, an inhomogeneous heat equation with distributed load is controlled, on the basis of an infinite dimensional generalization of sliding-mode control method. The control law is designed so that: (i) the temperature can… read more here.
Keywords: sliding mode; control; inhomogeneous heat; heat equation ... See more keywords
Superconvergence in H1-norm of a difference finite element method for the heat equation in a 3D spatial domain with almost-uniform mesh
Sign Up to like & getrecommendations! Published in 2020 at "Numerical Algorithms"
DOI: 10.1007/s11075-020-00892-y
Abstract: In this paper, we propose a novel difference finite element (DFE) method based on the P 1 -element for the 3D heat equation on a 3D bounded domain. One of the novel ideas of this… read more here.
Keywords: finite element; difference; method; heat equation ... See more keywords
A meshfree method with a non-overlapping domain decomposition method based on TPS for solving the forward-backward heat equation in two-dimension
Sign Up to like & getrecommendations! Published in 2020 at "Numerical Algorithms"
DOI: 10.1007/s11075-020-00952-3
Abstract: We present a truly meshless method based on the thin plate splines for the numerical solution of the two dimensional forward-backward heat equation and give a robust formulation for the proposed method. The physical domain… read more here.
Keywords: method based; backward heat; method; heat equation ... See more keywords
On the local well-posedness of the nonlinear heat equation associated to the fractional Hermite operator in modulation spaces
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DOI: 10.1007/s11868-021-00394-y
Abstract: In this note we consider the nonlinear heat equation associated to the fractional Hermite operator $$H^\beta =(-\Delta +|x|^2)^\beta $$ H β = ( - Δ + | x | 2 ) β , $$0 read more here.
Keywords: hermite operator; fractional hermite; nonlinear heat; associated fractional ... See more keywords
Existence and uniqueness for the mild solution of the stochastic heat equation with non-Lipschitz drift on an unbounded spatial domain
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DOI: 10.1007/s40072-020-00182-7
Abstract: We prove the existence and uniqueness of the mild solution for a nonlinear stochastic heat equation defined on an unbounded spatial domain. The nonlinearity is not assumed to be globally, or even locally, Lipschitz continuous.… read more here.
Keywords: existence uniqueness; uniqueness mild; solution; heat equation ... See more keywords
Nonlocal thermal diffusion in one-dimensional periodic lattice
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Heat and Mass Transfer"
DOI: 10.1016/j.ijheatmasstransfer.2021.121753
Abstract: Abstract Heat conduction in micro-structured rods can be simulated with unidimensional periodic lattices. In this paper, scale effects in conduction problems, and more generally in diffusion problems, are studied from a one-dimensional thermal lattice. The… read more here.
Keywords: heat; lattice; heat equation; one dimensional ... See more keywords
On the oscillation behavior of solutions to the heat equation on Rn
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DOI: 10.1016/j.jde.2019.09.021
Abstract: Abstract We study the oscillation behavior of solutions to the heat equation on R n and give some interesting examples. We compare the oscillation behavior of the initial data and the oscillation behavior of the… read more here.
Keywords: solutions heat; oscillation behavior; heat equation; behavior solutions ... See more keywords
The cost of the control in the case of a minimal time of control: The example of the one-dimensional heat equation
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.01.096
Abstract: In this article, we consider the controllability of the one-dimensional heat equation with an internal control depending only on the time variable and an imposed profile depending on the space variable. It is well-known that… read more here.
Keywords: control; one dimensional; time; heat equation ... See more keywords
A linear quadratic control problem for the stochastic heat equation driven by Q-Wiener processes
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.08.052
Abstract: Abstract We consider a control problem for the stochastic heat equation with Neumann boundary condition, where controls and noise terms are defined inside the domain as well as on the boundary. The noise terms are… read more here.
Keywords: control problem; wiener processes; problem stochastic; stochastic heat ... See more keywords
Blow-up at infinity of solutions to a semilinear heat equation with logarithmic nonlinearity
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.01.059
Abstract: Abstract In this short note, the author establishes a blow-up result for a semilinear heat equation with logarithmic nonlinearity, by using the logarithmic Sobolev inequality. This improves a recent blow-up result obtained in Chen et… read more here.
Keywords: heat equation; equation logarithmic; logarithmic nonlinearity; semilinear heat ... See more keywords
On a nonlinear heat equation with viscoelastic term associated with Robin conditions
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DOI: 10.1080/00036811.2016.1238461
Abstract: This paper is devoted to study of a nonlinear heat equation with a viscoelastic term associated with Robin conditions. At first, by the Faedo–Galerkin and the compactness method, we prove existence, uniqueness, and regularity of… read more here.
Keywords: associated robin; equation viscoelastic; nonlinear heat; term associated ... See more keywords