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An inner boundary condition of moisture diffusion model for simulating transient nonlinear moisture transport in Chinese fir [PDF]
Heliyon, 2022 This paper proposed an inner boundary condition of moisture diffusion model for simulating transient nonlinear moisture transport of Chinese fir (Cunninghamia lanceolata).
Xueyi Ma +3 more
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Boundary streaming with Navier boundary condition [PDF]
Physical Review E, 2014 In microfluidic applications involving high-frequency acoustic waves over a solid boundary, the Stokes boundary-layer thickness $δ$ is so small that some non-negligible slip may occur at the fluid-solid interface. This paper assesses the impact of the slip by revisiting the classical problem of steady acoustic streaming over a flat boundary with the ...
Xie, Jin-Han, Vanneste, Jacques
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Multivalued nonmonotone dynamic boundary condition
Boundary Value Problems, 2021 In this paper, we introduce a new class of hemivariational inequalities, called dynamic boundary hemivariational inequalities, reflecting the fact that the governing operator is also active on the boundary.
Khadija Aayadi +3 more
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On a Nonlocal Boundary Value Problem of a State-Dependent Differential Equation
Mathematics, 2021 In this paper, the existence of absolutely continuous solutions and some properties will be studied for a nonlocal boundary value problem of a state-dependent differential equation. The infinite-point boundary condition and the Riemann–Stieltjes integral
Ahmed El-Sayed +2 more
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On inverse problem for tree of Stieltjes strings
Pracì Mìžnarodnogo Geometričnogo Centru, 2021 For a given metric tree and two strictly interlacing sequences of numbers there exits a distribution of point masses on the edges (which are Stieltjes strings) such that one of the sequences is the spectrum of the spectral problem with the Neumann ...
Анастасія Ігорівна Дудко +1 more
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The Bilaplacian with Robin Boundary Conditions [PDF]
SIAM Journal on Mathematical Analysis, 2022 We introduce Robin boundary conditions for biharmonic operators, which are a model for elastically supported plates and are closely related to the study of spaces of traces of Sobolev functions. We study the dependence of the operator, its eigenvalues, and eigenfunctions on the Robin parameters. We show in particular that when the parameters go to plus
Davide Buoso, James B. Kennedy
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Modeling and analysis of energy and exergy performance of a PCM-augmented concrete-based Trombe wall systems [PDF]
Archive of Mechanical Engineering, 2022 The aim of this research was to model the performances of energy and exergy on a Trombe wall system to enable an adequate thermal comfort. The main equations for the heat transfer mechanisms were developed from energy balances on subcomponents of the ...
Benjamin O. Ezurike +3 more
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Interpolating boundary conditions on AdS2
Journal of High Energy Physics, 2023 Abstract We consider two instances of boundary conditions for massless scalars on AdS2 that interpolate between the Dirichlet and Neumann cases while preserving scale invariance. Assessing invariance under the full SL(2; ℝ) conformal group is not immediate given their non-local nature.
Anthonny F. Canazas Garay +3 more
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Axioms, 2021 The article considers third-order equations with multiple characteristics with general boundary value conditions and non-local initial data. A regular solution to the problem with known methods is constructed here.
Abdukomil Risbekovich Khashimov +1 more
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Acoustic boundary layers as boundary conditions [PDF]
Journal of Computational Physics, 2018 The linearized, compressible Navier-Stokes equations can be used to model acoustic wave propagation in the presence of viscous and thermal boundary layers. However, acoustic boundary layers are notorious for invoking prohibitively high resolution requirements on numerical solutions of the equations.
Martin Berggren +2 more
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