Results 11 to 20 of about 172,917 (327)
Conservation Laws with Time Dependent Discontinuous Coefficients [PDF]
The authors consider scalar conservation laws where the flux function depends discontinuously on both the spatial and temporal locations. The existence and well-posedness of an entropy solution to the Cauchy problem are proved. The existence is established by showing that a sequence of front tracking approximations is compact in \(L^1\), and that the ...
COCLITE, Giuseppe Maria, RISEBRO N. H.
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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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Conservation Laws with Discontinuous Coefficients
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Bernard, S. +3 more
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The Gini coefficient and discontinuity
This article reveals a discontinuity in the mapping from a Lorenz curve to the associated cumulative distribution function. The problem is of a mathematical nature—based on an analysis of the transformation between the distribution function of a bound random variable and its Lorenz curve.
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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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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 Discontinuous Galerkin Methods for Elliptic Problems with Discontinuous Coefficients [PDF]
AbstractDiscontinuous Galerkin methods for elliptic problems with discontinuous coefficients are discussed. First the error bound of the methods is analyzed. Then a multilevel additive Schwarz preconditioner for one of the discrete problems is designed and analyzed.
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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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