Analytic vs. numerical solutions to a Sturm-Liouville transmission eigenproblem
An elliptic one-dimensional second order boundary value problem involving discontinuous coefficients, with or without transmission conditions, is considered.
Calin-Ioan Gheorghiu, Bertin Zinsou
doaj +7 more sources
In this study, the laminar nanofluid flow in the microchannel with a discontinuous-boundary condition was investigated. Considering the slip condition, heat transfer and entropy generation were studied.
Suhong Liu +8 more
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Convergence of fully discrete schemes for diffusive dispersive conservation laws with discontinuous coefficient [PDF]
We are concerned with fully-discrete schemes for the numerical approximation of diffusive-dispersive hyperbolic conservation laws with a discontinuous flux function in one-space dimension. More precisely, we show the convergence of approximate solutions,
Dutta, Rajib, Koley, Ujjwal, Ray, Deep
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An approximation scheme for an Eikonal Equation with discontinuous coefficient [PDF]
We consider the stationary Hamilton-Jacobi equation where the dynamics can vanish at some points, the cost function is strictly positive and is allowed to be discontinuous. More precisely, we consider special class of discontinuities for which the notion
Adriano Festa +4 more
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Stable Determination of the Discontinuous Conductivity Coefficient of a Parabolic Equation [PDF]
We deal with the problem of determining a time varying inclusion within a thermal conductor. In particular we study the continuous dependance of the inclusion from the Dirichlet-to-Neumann map.
Di Cristo, Michele, Vessella, Sergio
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On Hill's equation with a discontinuous coefficient
We research the asymptotic formula for the lengths of the instability intervals of the Hill's equation with coefficients q(x) and r(x), where q(x) is piecewise continuous and r(x) has a piecewise continuous second derivative in open intervals (0,b) and ...
Ilkay Yaslan Karaca
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Uniqueness and weak stability for multi-dimensional transport equations with one-sided Lipschitz coefficient [PDF]
The Cauchy problem for a multidimensional linear transport equation with discontinuous coefficient is investigated. Provided the coefficient satisfies a one-sided Lipschitz condition, existence, uniqueness and weak stability of solutions are obtained for
Bouchut, Francois +2 more
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Spontaneous Symmetry Breaking and the Renormalization of the Chern-Simons Term [PDF]
We calculate the one-loop perturbative correction to the coefficient of the \cs term in non-abelian gauge theory in the presence of Higgs fields, with a variety of symmetry-breaking structures.
Egestad, Börje +5 more
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High-power gears are widely used in various engineering fields. A gear transmission system is an extremely complex elastic system that produces complex vibrations under internal and external excitation. In this study, the excitation value in the gear was
Wangqiang XIAO +4 more
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A note on strong solutions of stochastic differential equations with a discontinuous drift coefficient [PDF]
The existence of a mean-square continuous strong solution is established for vector-valued Itö stochastic differential equations with a discontinuous drift coefficient, which is an increasing function, and with a Lipschitz continuous diffusion ...
Halidias, Nikolaos, Kloeden, Peter E.
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