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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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Lyapunov-type inequalities for quasilinear elliptic equations with Robin boundary condition [PDF]
Journal of Inequalities and Applications, 2017 The aim of this study is to prove Lyapunov-type inequalities for a quasilinear elliptic equation in R 2 $\mathbb{R}^{2}$ . Also the lower bound for the first positive eigenvalue of the boundary value problem is obtained.
Ülkü Dinlemez Kantar, Tülay Özden
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Application of a Robin boundary condition to surface waves
Frontiers in Marine Science, 2023 Surface effects on deep-water gravity waves are investigated theoretically by the application of a Robin boundary condition with a complex Robin parameter, R=Rr+iRi.
Kai Håkon Christensen +2 more
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Mathematics, 2023 Cell migration in a biological medium towards a blood vessel is modeled, as a random process, sucessively inside an annulus (two-dimensional domain) and an annular cylinder (three-dimensional domain).
Hélia Serrano +1 more
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Singularly perturbed robin type boundary value problems with discontinuous source term in geophysical fluid dynamics [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2021 Singularly perturbed robin type boundary value problems with discontinuous source terms applicable in geophysical fluid are considered. Due to the discontinuity, interior layers appear in the solution.
B.M. Abagero, G.F. Duressa, H.G. Debela
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A Variational Formulation for Fins with Nonzero Contact Thermal Resistance at the Base
Axioms, 2023 This paper considers the steady-state heat transfer process in a fin with a Robin boundary condition at the base (instead of the usual Dirichlet boundary condition at the base). Robin boundary condition models the effect of the thermal resistance between
Rogério Martins Saldanha da Gama +3 more
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Asymptotic analysis of Sturm-Liouville problem with Robin and two-point boundary conditions
Lietuvos Matematikos Rinkinys, 2022 We analyze the initial value problem and get asymptotic expansions for solution. We investigate the characteristic equation for Sturm-Liouville problem with one classical Robin type boundary condition and another two-point nonlocal boundary condition ...
Artūras Štikonas
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On a Multistable Type of Free Boundary Problem with a Flux at the Boundary
Advances in Mathematical Physics, 2023 This paper studies the free boundary problem of a multistable equation with a Robin boundary condition, which may be used to describe the spreading of the invasive species with the solution representing the density of species and the free boundary ...
Haitao Ren, Jingjing Cai, Li Xu
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Advances in Difference Equations, 2019 In this paper, a class of sixth-order finite difference schemes for the Helmholtz equation with inhomogeneous Robin boundary condition is derived.
Yang Zhang, Kun Wang, Rui Guo
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GENERAL QUASILINEAR PROBLEMS INVOLVING \(p(x)\)-LAPLACIAN WITH ROBIN BOUNDARY CONDITION
Ural Mathematical Journal, 2020 This paper deals with the existence and multiplicity of solutions for a class of quasilinear problems involving \(p(x)\)-Laplace type equation, namely $$ \left\{\begin{array}{lll} -\mathrm{div}\, (a(| \nabla u|^{p(x)})| \nabla u|^{p(x)-2} \nabla u ...
Hassan Belaouidel +2 more
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