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Interface evolution with Neumann boundary condition
Interface evolution with Neumann boundary conditionopenaire
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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Homogenization of Stokes with Neumann condition on oscillating boundary
Asymptotic Analysis, 2019The stationary Stokes problem in a n-dimensional domain with a rapidly oscillating [Formula: see text] dimensional boundary prescribed with Neumann boundary condition and periodicity along the lateral sides is considered. We identify the limit equation in a fixed domain with a one dimensional Laplacian-type problem, satisfied on the region covered by ...
Thirumalai Nambi Muthukumar +1 more
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Dirichlet and Neumann boundary conditions: What is in between?
Journal of Evolution Equations, 2003Given an open set \(\Omega\) in \(\mathbb{R}^n\), an admissible measure on \(\partial \Omega\) is a Radon measure \(\mu\) on the Borel \(\sigma\)-field of some open subset \(\Gamma_{\mu}\) of \(\partial \Omega\) which does not charge sets of capacity zero.
Arendt, Wolfgang, Warma, Mahamadi
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Reproducing Kernel for Neumann Boundary Conditions
Punjab University Journal of Mathematics, 2022We 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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Differaction for a neumann boundary condition
Communications in Partial Differential Equations, 1997Let 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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Estimates of Heat Kernels with Neumann Boundary Conditions
Potential Analysis, 2012This 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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On the Plane Neumann Problem with Generalized Boundary Conditions
Differential Equations, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The stability of the Dirichlet and Neumann boundary conditions
Reports on Mathematical Physics, 1986We investigate the stability of the Dirichlet and Neumann boundary conditions under the influence of an additive short range potential. We find that the Dirichlet boundary condition is stable while the Neumann boundary condition is not.
Englisch, H., Šeba, P.
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Neumann, Fourier and Mixed Boundary Conditions
2018The GDM and its analysis are adapted here to cope with Neumann, Fourier and mixed boundary conditions. Properties of trace operators are detailed.
Jérôme Droniou +4 more
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