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Neumann boundary condition for Abelian BPS vortices
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...
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Boundary-Value Problem for Singularly Perturbed Integro-Differential Equation with Singularly Perturbed Neumann Boundary Condition
AbstractWe consider a boundary-value problem for singularly perturbed integro-differential equation describing stationary reaction–diffusion...
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No-Slip Boundary Condition for Vorticity Equation in 2D Exterior Domain
In this article we derive the no-slip boundary condition for a non-stationary vorticity equation. This condition generates the affine invariant...
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Accuracy of Kinetic Boundary Condition
In this chapter, we assess the accuracy of Maxwell, Cercignani-Lampis, and Epstein boundary conditions, by comparing numerical results of the...
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Revised Riemann–Hilbert problem for the derivative nonlinear Schrödinger equation: Vanishing boundary condition
AbstractWith a vanishing boundary condition, we consider a revised Riemann–Hilbert problem (RHP) for the derivative nonlinear Schrödinger...
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Conformal boundary condition and massive gravitons in AdS/BCFT
According to Witten [1], the conformal boundary condition of gravity, which specifies the conformal geometry of the boundary and the trace of the...
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Annihilation-to-nothing: DeWitt boundary condition inside a black hole
In canonical quantum gravity, the wave function for a hypersurface inside a Schwarzschild black hole can be obtained by solving the Wheeler–DeWitt...
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Lipschitz Continuous Solutions of the Vlasov–Maxwell Systems with a Conductor Boundary Condition
We consider relativistic plasma particles subjected to an external gravitation force in a 3D half space whose boundary is a perfect conductor. When...
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On One Nonlinear Inverse Boundary Value Problem for Linearized Sixth-Order Boussinesq Equation with an Additional Integral Condition
AbstractA huge number of mathematical models are called Boussinesq-type equations; therefore, a wide range of sixth-order Boussinesq-type equations...
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Influence of isoflux boundary condition on forced convection due to arbitrary orientation of magnetohydrodynamic flow in cylindrical geometry
The impact of the isoflux boundary condition on forced convection magnetohydrodynamic flow past a cylinder subjected to an arbitrarily oriented...
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The reflection of plane waves in a micropolar fiber-reinforced thermoelastic medium under impedance boundary condition
This paper investigates the reflection of plane waves at the free surface of a micropolar fiber-reinforced medium using the three-phase lag...
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Initial Boundary Value Problems
This chapter first discusses the initial boundary value problems in the advection and diffusion equations. The corresponding schemes to deal with the...
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The Boltzmann Equation with a Class of Large-Amplitude Initial Data and Specular Reflection Boundary Condition
For the Boltzmann equation with cutoff hard potentials, we construct the unique global solution converging with an exponential rate in large time to...
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A numerical study of a moving boundary problem with variable thermal conductivity and temperature-dependent moving PCM under periodic boundary condition
The work in this paper concerns the study of a one-phase moving boundary problem with size-dependent thermal conductivity and moving phase change...
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The consistent coupling boundary condition for the classical micromorphic model: existence, uniqueness and interpretation of parameters
We consider the classical Mindlin–Eringen linear micromorphic model with a new strictly weaker set of displacement boundary conditions. The new...
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The Vlasov–Poisson–Landau System with the Specular-Reflection Boundary Condition
We consider the Vlasov–Poisson–Landau system, a classical model for a dilute collisional plasma interacting through Coulombic collisions and with its...
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Asymptotic Propagation Speeds of the Fisher-KPP Equation with an Effective Boundary Condition on a Road
Of concern here is the Fisher-KPP equation on the xy -plane with an “effective boundary condition” imposed on the x -axis. This model, recently derived...
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Global Boundedness to a 3D Chemotaxis–Stokes System with Porous Medium Cell Diffusion and General Sensitivity Under Dirichlet Signal Boundary Condition
In this paper, we construct a globally bounded weak solution for the initial-boundary value problem of a three-dimensional chemotaxis–Stokes system...
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The Two-Dimensional Liquid Crystal Droplet Problem with a Tangential Boundary Condition
This paper studies a shape optimization problem which reduces to a nonlocal free boundary problem involving perimeter. It is motivated by a study of...
