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Neumann boundary condition for Abelian BPS vortices
Journal of High Energy Physics, 2023 Abstract 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. These vortices have quantised magnetic flux and quantised energy.
Manton, NS, Zhao, Boan
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Fick’s law selects the Neumann boundary condition
Nonlinear Analysis: Theory, Methods & Applications22 pages, 5 ...
Yong-Jung Kim +2 more
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NEUMANN BOUNDARY CONDITION FOR A NONLOCAL BIHARMONIC EQUATION
Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics", 2022 The solvability conditions for a class of boundary value problems for a nonlocal biharmonic equation in the unit ball with the Neumann conditions on the boundary are studied. The nonlocality of the equation is generated by some orthogonal matrix. The presence and uniqueness of a solution to the proposed Neumann boundary condition is examined, and an ...
B.Kh. Turmetov, V.V. Karachik
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Singular diffusion with Neumann boundary conditions [PDF]
Nonlinearity, 2021 Abstract In this paper we develop an existence theory for the nonlinear initial-boundary value problem with singular diffusion
Giuseppe Maria Coclite +2 more
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The Bose Gas in a Box with Neumann Boundary Conditions
Annales Henri Poincaré, 2023 We consider a gas of bosonic particles confined in a box with Neumann boundary conditions. We prove Bose-Einstein condensation in the Gross-Pitaevskii regime, with an optimal bound on the condensate depletion. Our lower bound for the ground state energy in the box implies (via Neumann bracketing) a lower bound for the ground state energy of the Bose ...
Chiara Boccato, Robert Seiringer
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Homogenization of elliptic systems with Neumann boundary conditions [PDF]
Journal of the American Mathematical Society, 2013 The main purpose of this work is to study uniform regularity estimates for a family of elliptic operators $\{\mathcal{L}_\varepsilon, \varepsilon>0\}$, arising in the theory of homogenization, with rapidly oscillating periodic coefficients. We establish sharp $W^{1,p}$ estimates, Lipschitz estimates, and nontangential maximal function estimates ...
Kenig, Carlos E. +2 more
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Isospectral shapes with Neumann and alternating boundary conditions [PDF]
Physical Review E, 2003 The isospectrality of a well-known pair of shapes constructed from two arrangements of seven congruent right isosceles triangles with the Neumann boundary condition is verified numerically to high precision. Equally strong numerical evidence for isospectrality is presented for the eigenvalues of this standard pair in new boundary configurations with ...
Driscoll, T., Gottlieb, Hans
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Nonlocal Neumann boundary conditions
Bruno Pini Mathematical Analysis Seminar, 2023 We present some properties of a nonlocal version of the Neumann boundary conditions associated to problems involving the fractional p-Laplacian. For this problems, we show some regularity results for the general case and some existence results for particular types of problems.
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Convergence of the Allen--Cahn Equation with Neumann Boundary Conditions [PDF]
SIAM Journal on Mathematical Analysis, 2015 26 pages, 1 ...
Masashi Mizuno, Yoshihiro Tonegawa
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Neumann boundary conditions from Born–Infeld dynamics [PDF]
Nuclear Physics B, 1999 Some typos, reference added.
Savvidy, Konstantin G. +1 more
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