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Computational Modelling of Cancer Nanomedicine: Integrating Hyperthermia Treatment Into a Multiphase Porous-Media Tumour Model. [PDF]

Int J Numer Method Biomed Eng
Wirthl B, Decuzzi P, Schrefler BA, Wall WA.   +3 more
europepmc   +1 more source

BCS Critical Temperature on Half-Spaces. [PDF]

Arch Ration Mech Anal
Roos B, Seiringer R.
europepmc   +1 more source

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Reproducing Kernel for Neumann Boundary Conditions

Punjab University Journal of Mathematics, 2022
We investigate a kernel space which is a particular class of Hilbert space. We discuss various properties of the reproducing kernel. In particular, our aim to construct kernel in reproducing space of the specific function space (Sobolev space) with the inner product and norm. Also, we derive the reproducing kernel for Neumann boundary conditions.
Gautam Patel, Kaushal Patel
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Roughness effect on Neumann boundary condition [PDF]

Asymptotic Analysis, 2012
We study the effect of a periodic roughness on a Neumann boundary condition. We show that, as in the case of a Dirichlet boundary condition, it is possible to approach this condition by a more complex law on a domain without rugosity, called wall law. This approach is however different from that usually used in Dirichlet case.
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Estimates of Heat Kernels with Neumann Boundary Conditions

Potential Analysis, 2012
This paper is concerned with two-sided estimates for the heat kernels corresponding to general elliptic operators of the form \(Lu=\frac{1}{2}\nabla\cdot(A\nabla u)+b\cdot \nabla u-\nabla(\hat bu)+qu\) in a bounded domain \(D\subset \mathbb R^N\) subject to Robin boundary conditions: \(\frac{1}{2}\langle A\nabla u,n\rangle-\langle \hat b,n\rangle u=0\)
Zhang, Tusheng, Yang, Xue
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Curvature sensors, adaptive optics, and Neumann boundary conditions

Applied Optics, 2001
We consider the Neumann boundary-value problem for curvature adaptive optics systems. We show that, because curvature sensors average over extended regions of the wave front, inconsistent data for the solution of the Neumann problem result when the measurements are treated as local.
C, Ftaclas, A, Kostinski
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Differaction for a neumann boundary condition

Communications in Partial Differential Equations, 1997
Let be a bounded open set in Rn and P be a constant coefficient operator of order 2 in Rn X Rt such that admits a strictly diffractive point. We calculate in this paper the principal symbol of the operatorK& transforming for a solution in the neighborhood of a strictly diffractive point We deduce from this calculation the principal symbol of the wave ...
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Neumann, Fourier and Mixed Boundary Conditions

2018
The GDM and its analysis are adapted here to cope with Neumann, Fourier and mixed boundary conditions. Properties of trace operators are detailed.
Jérôme Droniou, Robert Eymard, Thierry Gallouët, Cindy Guichard, Raphaèle Herbin   +4 more
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