Pullback attractors for a semilinear heat equation in a non-cylindrical domain [PDF]
Journal of Differential Equations, 2008 The existence and uniqueness of a variational solution satisfying energy equality is proved for a semilinear heat equation in a non-cylindrical domain with homogeneous Dirichlet boundary condition, under the assumption that the spatial domains are bounded and increase with time.
Kloeden, Peter E. +2 more
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An existence result for evolution equations in non-cylindrical domains [PDF]
Nonlinear Differential Equations and Applications NoDEA, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PARONETTO, FABIO
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Exact controllability for a wave equation with mixed boundary conditions in a non-cylindrical domain [PDF]
Electronic Journal of Differential Equations, 2014 In this article we study the exact controllability of a one-dimensional wave equation with mixed boundary conditions in a non-cylindrical domain. The fixed endpoint has a Dirichlet-type boundary condition, while the moving end has a Neumann-type ...
Lizhi Cui, Hang Gao
doaj +1 more source
The acoustics of curved and lined cylindrical ducts with mean flow [PDF]
, 2010 This thesis considers linear perturbations to the steady flow of a compressible inviscid perfect gas along a cylindrical or annular duct. Particular consideration is given to the model of the duct boundary, and to the effect of curvature of the duct ...
core +2 more sources
A 1D Reduced-Order Model (ROM) for a Novel Latent Thermal Energy Storage System
Energies, 2022 Phase change material (PCM)-based thermal energy storage (TES) systems are widely used for repeated intermittent heating and cooling applications. However, such systems typically face some challenges due to the low thermal conductivity and expensive ...
Gargi Kailkhura +3 more
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Cylindrical resonator filled with four alternating sectors of DPS and DNG materials [PDF]
, 2013 A circular cylindrical metallic resonator with four alternating sectors of DPS and DNG materials is analyzed, in the frequency domain. The two materials are linear, lossless, homogeneous, and anti-isorefractive to each other.
Graglia, Roberto +7 more
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Variational Equations of Schroedinger-Type in Non-cylindrical Domains
Journal of Differential Equations, 2001 The boundary value problem \[ u(x, t)_t- i\sum (a_{ij}(x, t) u(x,t)_{x_i})_{x_j}- c(x,t) u(x,t)= f(x,t)\;\text{in }Q, \] \[ u(x,t)= 0\;\text{on }\Sigma,\quad u(x,0)= u_0(x)\;\text{on }Q_0, \] is investigated, where \(Q\subset \mathbb{R}^n\times (0,T)\) is an open subset (with the lateral boundary denoted by \(\Sigma\)) whose sections \(Q_t\) (\(t ...
BERNARDI, MARCO LUIGI +2 more
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Practical method for the determination of time step in non-orthogonal FDTD [PDF]
, 2001 The Non-Orthogonal FDTD algorithm is well-suited to the modelling of curved structures, however users of the technique frequently have difficulty determining an appropriate time step for the algorithm.
Nilavalan, R, Railton, CJ, Craddock, IJ
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Microwave Tomography With LSTM-Based Processing of the Scattered Field
IEEE Open Journal of Antennas and Propagation, 2021 The quantitative inspection of unknown targets or bodies by means of microwave tomography requires a proper modeling of the field scattered by the structures under test, which in turn depends on several factors related to the adopted antennas and ...
Alessandro Fedeli
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Stability analysis of second- and fourth-order finite-difference modelling of wave propagation in orthotropic media [PDF]
, 2010 The stability of the finite-difference approximation of elastic wave propagation in orthotropic homogeneous media in the three-dimensional case is discussed.
Veres, Istvan
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