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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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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
James Kennedy, Davide Buoso
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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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Resonant (p,q)-equations with Robin boundary condition
Electronic Journal of Differential Equations, 2018 We consider a nonlinear nonhomogeneous Robin problem that has the sum of a p-Laplacian and a q-Laplacian (a (p,q)-equation). The reaction term is a Caratheodory function which is resonant at $\pm\infty$ with respect to any nonprincipal variational ...
Michael E. Filippakis +1 more
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Concentrating solutions of the Liouville equation with Robin boundary condition
Journal of Differential Equations, 2012 Let \(\varepsilon >0\) small enough and \(\lambda>0\) large. Assume that \(\Omega\subset {\mathbb R}^2\) is a bounded domain with smooth boundary. The authors construct solutions to the Liouville equation \[ \Delta u+\varepsilon^2e^u=0\qquad \text{in}\;\Omega\,, \] under the Robin boundary condition \[ \frac{\partial u}{\partial\nu}+\lambda u=0\qquad ...
Erwin Maximiliano Topp Paredes +1 more
exaly +5 more sources
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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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
openaire +4 more sources