Results 21 to 30 of about 7,355 (250)
Neumann boundary condition for Abelian BPS vortices
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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Multiple boundary peak solutions for some singularly perturbed Neumann problems [PDF]
We consider the problem \left \{ \begin{array}{rcl} \varepsilon^2 \Delta u - u + f(u) = 0 & \mbox{ in }& \ \Omega\\ u > 0 \ \mbox{ in} \ \Omega, \ \frac{\partial u}{\partial \nu} = 0 & \mbox{ on }& \ \partial\Omega, \end{array} \right. where \
Gui, Changfeng +8 more
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Four Boundary Value Problems for a Nonlocal Biharmonic Equation in the Unit Ball
Solvability issues of four boundary value problems for a nonlocal biharmonic equation in the unit ball are investigated. Dirichlet, Neumann, Navier and Riquier–Neumann boundary value problems are studied.
Valery Karachik +2 more
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Multi-dimensional Morse Index Theorems and a symplectic view of elliptic boundary value problems [PDF]
Morse Index Theorems for elliptic boundary value problems in multi-dimensions are proved under various boundary conditions. The theorems work for star-shaped domains and are based on a new idea of measuring the "oscillation" of the trace of the set of ...
Deng, Jian +1 more
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Trial methods for Bernoulli's free boundary problem [PDF]
Free boundary problems deal with solving partial differential equations in a domain, a part of whose boundary is unknown – the so-called free boundary. Beside the standard boundary conditions that are needed in order to solve the partial differential ...
Mitrou, Giannoula
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Convergence of the Allen--Cahn Equation with Neumann Boundary Conditions [PDF]
26 pages, 1 ...
Masashi Mizuno, Yoshihiro Tonegawa
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Viscous boundary layers in hyperbolic-parabolic systems with Neumann boundary conditions [PDF]
International audienceWe initiate the study of noncharacteristic boundary layers in hyperbolic-parabolic problems with Neumann boundary conditions. More generally, we study boundary layers with mixed Dirichlet--Neumann boundary conditions where the ...
Williams, Mark +11 more
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Neumann boundary conditions from Born–Infeld dynamics [PDF]
Some typos, reference added.
Savvidy, Konstantin G. +1 more
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The optimal boundary control problem for (n×n) infinite order distributed parabolic systems with multiple time delays given in the integral form both in the state equations and in the Neumann boundary conditions is considered. Constraints on controls are
Bahaa G. M.
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Singular Integral Neumann Boundary Conditions for Semilinear Elliptic PDEs
In this article, we discuss semilinear elliptic partial differential equations with singular integral Neumann boundary conditions. Such boundary value problems occur in applications as mathematical models of nonlocal interaction between interior points ...
Praveen Agarwal +2 more
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