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Modeling angiogenesis under Robin boundary conditions [PDF]
Quantitative BiologyIn this study, we show an example of a numerical model based on the Keller–Segel system of equations to simulate angiogenesis in response to chemotaxis under Robin boundary conditions, which represent the presence of flux at the tumor.
Pablo Álvarez‐Caudevilla +2 more
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Straight Quantum Waveguide with Robin Boundary Conditions [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We investigate spectral properties of a quantum particle confined to an infinite straight planar strip by imposing Robin boundary conditions with variable coupling.
Martin Jílek
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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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Penalization of Robin boundary conditions [PDF]
Applied Numerical Mathematics, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bensiali, Bouchra +2 more
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Conformable advection-dispersion models for radioactive waste migration: Robin-type condition and moment analysis [PDF]
Scientific ReportsWithin the framework of the conformable fractional-order derivative, conformable advection-dispersion models (CADMs) with Robin-type boundary conditions and different source terms are proposed to describe radioactive waste migration. Analytical solutions
Qing Wei, Shuai Yang, Senlin Xie
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No-Boundary Proposal as a Path Integral with Robin Boundary Conditions [PDF]
Physical Review Letters, 2019 Realising the no-boundary proposal of Hartle and Hawking as a consistent gravitational path integral has been a long-standing puzzle. In particular, it was demonstrated by Feldbrugge et al. that the sum over all universes starting from zero size results in an unstable saddle point geometry.
Di Tucci, Alice, Lehners, Jean-Luc
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Particle creation by a moving boundary with a Robin boundary condition [PDF]
Journal of Physics A: Mathematical and General, 2006 We consider a massless scalar field in 1+1 dimensions satisfying a Robin boundary condition (BC) at a non-relativistic moving boundary. We derive a Bogoliubov transformation between input and output bosonic field operators, which allows us to calculate the spectral distribution of created particles. The cases of Dirichlet and Neumann BC may be obtained
Mintz, B. +3 more
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Fractal and Fractional, 2023 In this paper, the numerical method for a multiterm time-fractional reaction–diffusion equation with classical Robin boundary conditions is considered. The full discrete scheme is constructed with the L1-finite difference method, which entails using the ...
Jian Hou +4 more
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The Obata equation with Robin boundary condition [PDF]
Revista Matemática Iberoamericana, 2020 We study the Obata equation with Robin boundary condition \partial f/\partial \nu + af = 0 on manifolds with boundary, where a is a non-zero constant.
Chen, Xuezhang, Lai, Mijia, Wang, Fang
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Applied Mathematics in Science and Engineering, 2023 In this study, a high-order compact finite difference method is used to solve Lane–Emden equations with various boundary conditions. The norm is to use a first-order finite difference scheme to approximate Neumann and Robin boundary conditions, but that ...
James Malele +2 more
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