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Modeling of Chloride Distribution in Cement-Based Materials with Neumann Boundary Condition [PDF]
Advances in Materials Science and Engineering, 2018 The nonstable transport of chloride in cement-based materials, including diffusion, convection, and chloride binding, is described as a general form of Fick’s law.
Qi Meng +4 more
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Neumann boundary condition for Abelian BPS vortices
Journal of High Energy Physics, 2023 We study abelian BPS vortices on a surface S with boundary, which satisfy the Neumann boundary condition on the norm of the scalar field, or equivalently, that the current along the boundary vanishes.
N. S. Manton, Boan Zhao
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Ambrosetti-Prodi problem with degenerate potential and Neumann boundary condition [PDF]
Electronic Journal of Differential Equations, 2018 We study the degenerate elliptic equation $$ -\hbox{div}(|x|^\alpha\nabla u) =f(u)+t\phi(x)+h(x) $$ in a bounded open set $\Omega$ with homogeneous Neumann boundary condition, where $\alpha\in(0,2)$ and f has a linear growth.
Dusan D. Repovs
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Finite difference method for a nonlinear fractional Schrödinger equation with Neumann condition [PDF]
E-Journal of Analysis and Applied Mathematics, 2020 In this paper, a special case of nonlinear fractional Schrödinger equation with Neumann boundary condition is considered. Finite difference method is implemented to solve the nonlinear fractional Schrödinger problem with Neumann boundary condition ...
Betul Hicdurmaz
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Exact Null Controllability of a One-Dimensional Wave Equation with a Mixed Boundary
Mathematics, 2023 In this paper, exact null controllability of one-dimensional wave equations in non-cylindrical domains was discussed. It is different from past papers, as we consider boundary conditions for more complex cases.
Lizhi Cui, Jing Lu
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On the ghost problem of conformal gravity
Journal of High Energy Physics, 2023 We study the metric perturbations around the de Sitter and Minkowski backgrounds in Conformal Gravity. We confirm the presence of ghosts in both cases. In the de Sitter case, by applying the Maldacena boundary conditions — the Neumann boundary condition ...
Anamaria Hell +2 more
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On the dynamics in the AdS/BCFT correspondence
Journal of High Energy Physics, 2022 We consider a perturbation of the Einstein gravity with the Neumann boundary condition, which is regarded as an end of the world brane (ETW brane) of the AdS/BCFT correspondence, in the AdS d+1 spacetime with d ≥ 3.
Yu-ki Suzuki, Seiji Terashima
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Free energy and defect C-theorem in free fermion
Journal of High Energy Physics, 2021 We describe a p-dimensional conformal defect of a free Dirac fermion on a d-dimensional flat space as boundary conditions on a conformally equivalent space ℍ p+1 × S $$ \mathbbm{S} $$ d−p−1.
Yoshiki Sato
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Boundary regularity results for minimisers of convex functionals with (p, q)-growth
Advances in Nonlinear Analysis, 2023 We prove improved differentiability results for relaxed minimisers of vectorial convex functionals with (p,q)\left(p,q)-growth, satisfying a Hölder-growth condition in xx. We consider both Dirichlet and Neumann boundary data.
Irving Christopher, Koch Lukas
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The Meyers Estimates for Domains Perforated along the Boundary
Mathematics, 2021 In this paper, we consider an elliptic problem in a domain perforated along the boundary. By setting a homogeneous Dirichlet condition on the boundary of the cavities and a homogeneous Neumann condition on the outer boundary of the domain, we prove ...
Gregory A. Chechkin
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