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A spatial epidemic model with a moving boundary. [PDF]
Infect Dis Model, 2021 We present a new mathematical model to investigate the spatial spread of an infectious disease. The model consists of a nonlinear PDE system with an unknown velocity field, defined on an epidemic domain that changes with time.
Zhuang Q, Wang J.
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Moving boundary problems [PDF]
Bulletin of the American Mathematical Society, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Čanić
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Dynamics of wave equations with moving boundary [PDF]
, 2017 This paper is concerned with long-time dynamics of weakly damped semilinear wave equations defined on domains with moving boundary. Since the boundary is a function of the time variable the problem is intrinsically non-autonomous.
T. Ma +2 more
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Nonlinear Moving Boundary Model of Low-Permeability Reservoir
Energies, 2021 At present, there are two main methods for solving oil and gas seepage equations: analytical and numerical methods. In most cases, it is difficult to find the analytical solution, and the numerical solution process is complex with limited accuracy. Based
Xiarong Jiao, Shan Jiang, Hong Liu
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Journal of Fluid Science and Technology, 2022 We investigate the sensitivity to the application range of buoyancy force near the boundary in the diffuse-interface immersed boundary method. The flow fields not only inside the boundary but also outside the boundary are usually computed in the immersed
Madoka ENDO +2 more
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A sharp-front moving boundary model for malignant invasion [PDF]
, 2020 We analyse a novel mathematical model of malignant invasion which takes the form of a two-phase moving boundary problem describing the invasion of a population of malignant cells into a population of background tissue, such as skin.
Maud El-Hachem, S. McCue, M. Simpson
semanticscholar +1 more source
Forces in Mechanics, 2023 In real-world physics phenomena, the boundary conditions of structural members in the structural beam systems affect the system response. Also, moving load or mass problems are used widely in many engineering fields, such as structural, transportation ...
Amin Ghannadiasl, Massood Mofid
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Journal of Fluid Science and Technology, 2021 Based on the Moving Least Square (MLS) approximation, we propose a sharp interface direct-forcing immersed boundary method for incompressible fluid flows with fixed and moving boundaries.
Mehdi BADRI GHOMIZAD +2 more
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Asymptotic Approximations of the Solution for a Traveling String under Boundary Damping [PDF]
Journal of Applied and Computational Mechanics, 2019 Transversal vibrations of an axially moving string under boundary damping are investigated. Mathematically, it represents a homogenous linear partial differential equation subject to nonhomogeneous boundary conditions.
Rajab A. Malookani +2 more
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A Scalable Moving Boundary Treatment in the Lattice Boltzmann Method
Applied Sciences, 2021 Based on the lattice Boltzmann Method (LBM), a new moving boundary treatment is proposed by studying the influence of the moving boundary in a low-speed incompressible fluid.
Peng He +3 more
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