A Nonlocal Inverse Problem for the Two-Dimensional Heat-Conduction Equation
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DOI: 10.1007/s10958-018-3834-9
Abstract: We consider an inverse problem of determination of the time-dependent leading coefficient of a two-dimensional heat-conduction equation with nonlocal overdetermination condition. The existence and uniqueness conditions are established for the classical solution of the analyzed… read more here.
Keywords: inverse problem; two dimensional; heat conduction; conduction equation ... See more keywords
Existence of Solution of the Dirichlet Problem for the Heat-Conduction Equation with General Stochastic Measure
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DOI: 10.1007/s10958-019-04351-5
Abstract: We present sufficient conditions for the existence of a weak solution of the Dirichlet problem for the heat-conduction equation with random action described by an integral over the general stochastic measure. read more here.
Keywords: problem heat; dirichlet problem; solution dirichlet; heat conduction ... See more keywords
Optimal Control Problem for a Conformable Fractional Heat Conduction Equation
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DOI: 10.12693/aphyspola.132.658
Abstract: This paper presents an optimal boundary temperature control of thermal stresses in a plate, based on timeconformable fractional heat conduction equation. The aim is to find the boundary temperature that takes thermal stress under control.… read more here.
Keywords: control; heat conduction; conduction equation; fractional heat ... See more keywords