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Loading Devices and Non-classical Boundary Conditions
We review some works on non-classical boundary conditions, and loading devices inspired by discussions with late Professor J.L. Ericksen. For a...
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Boundary Conditions and Null Lagrangians in the Calculus of Variations and Elasticity
We explicitly characterize boundary conditions that are compatible with low order variational principles. The freedom afforded by adding in a null...
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Anisotropic Robin problems with logistic reaction
We consider Robin problems driven by the anisotropic p -Laplace operator and with a logistic reaction. Our analysis covers superdiffusive,...
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Unsteady squeezing flow of a magnetized dissipative non-Newtonian nanofluid with radiative heat transfer and Fourier-type boundary conditions: numerical study
Improved thermal management in high-temperature tribological systems requires novel developments in lubricants. Motivated by combining nanoparticle...
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Steady-state bifurcations of a diffusive–advective predator–prey system with hostile boundary conditions and spatial heterogeneity
In this paper, we consider a diffusive–advective predator–prey system in a spatially heterogeneous environment subject to a hostile boundary...
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Similar construction method for non-Newtonian power-law fluid seepage models with elastic outer boundary conditions
In oil and gas engineering, non-Newtonian fluids are universal. Thus, studies on the seepage laws of non-Newtonian power-law fluids are of great...
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Boundary Value Problems (ODE)
valid in the range \(0\le x\le 1\) . This equation is...
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Numerical manifold method for steady-state nonlinear heat conduction using Kirchhoff transformation
The numerical manifold method (NMM) introduces the mathematical and physical cover to solve both continuum and discontinuum problems in a unified...
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FEM Benchmark Problems for Cracks with Spring Boundary Conditions Under Antiplane Shear Loadings
A new analytical solution in the form of asymptotic series is proposed and studied for Mode III crack problems with spring boundary conditions, which...
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RILEM TC 266-MRP: round-robin rheological tests on high performance mortar and concrete with adapted rheology—rheometers, mixtures and procedures
Recent developments in understanding the rheology of mortar and concrete as well as applying this understanding in the practice of construction...
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Nonsmooth modal analysis via the boundary element method for one-dimensional bar systems
A numerical scheme grounded on the Boundary Element Method expressed in the Frequency Domain is proposed to perform Nonsmooth Modal Analysis of...
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Construction of dynamic Green’s function for an infinite acoustic field with multiple prolate spheroids
The acoustic pressure of an unbounded acoustic field with multiple prolate spheroids with the Robin boundary conditions subjected to a time-harmonic...
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Boundary Heat Flux Estimation for Natural Convection in a Square Enclosure Containing a Cylinder: An Inverse Approach
In this study, the unknown boundary heat fluxes in a square enclosure containing a cylinder were estimated by an inverse technique. A series of...
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Heat transfer at nanoscale and boundary conditions
A model of nonlocal heat transfer at nanoscale in rigid bodies is considered. Depending on the relevance of the particular interaction’s mechanism...
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Analytical solutions to thermal gradient enhanced diffusion of organic contaminants through unsaturated composite liner: considering the existence of capillary fringe
The capillary fringe (CF) is a well-known zone of tension saturation immediately above the water table and has significant influence on solute...
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Degenerate scales for thin elastic plates with Dirichlet boundary conditions
A degenerate scale occurs when a loss of uniqueness of the solution of the boundary integral equations happens for that scale of the problem. We...
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Solving a one-dimensional moving boundary problem based on wave digital principles
We report on a novel method for solving one-dimensional moving boundary problems based on wave digital principles. Here, we exploit multidimensional...
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Global dynamics of a Lotka-Volterra competition-diffusion system with advection and nonlinear boundary conditions
In this paper, we deal with the global dynamics of a Lotka-Volterra competition-diffusion-advection system with nonlinear boundary conditions,...
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Polynomial Approximation of the Laminar Boundary Layer on a Flat Plate on the Basis of the Karman Momentum Integral
A new approach to the polynomial approximation of the laminar boundary layer on the surface of a flat plate on the basis of the Karman momentum...