Results 1 to 10 of about 172,190 (237)

Analytic vs. numerical solutions to a Sturm-Liouville transmission eigenproblem

open access: yesJournal of Numerical Analysis and Approximation Theory, 2019
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

Efficacy of applying discontinuous boundary condition on the heat transfer and entropy generation through a slip microchannel equipped with nanofluid

open access: yesEngineering Applications of Computational Fluid Mechanics, 2022
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
doaj   +1 more source

Convergence of fully discrete schemes for diffusive dispersive conservation laws with discontinuous coefficient [PDF]

open access: yes, 2015
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
core   +2 more sources

An approximation scheme for an Eikonal Equation with discontinuous coefficient [PDF]

open access: yes, 2013
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
core   +3 more sources

Stable Determination of the Discontinuous Conductivity Coefficient of a Parabolic Equation [PDF]

open access: yes, 2009
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
core   +2 more sources

On Hill's equation with a discontinuous coefficient

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
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
doaj   +1 more source

Uniqueness and weak stability for multi-dimensional transport equations with one-sided Lipschitz coefficient [PDF]

open access: yes, 2004
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
core   +2 more sources

Spontaneous Symmetry Breaking and the Renormalization of the Chern-Simons Term [PDF]

open access: yes, 1992
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
core   +4 more sources

Effect of particle restitution coefficient on high-power gear transmission with dynamic continuum and non-continuum coupling

open access: yesJournal of Advanced Mechanical Design, Systems, and Manufacturing, 2021
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
doaj   +1 more source

A note on strong solutions of stochastic differential equations with a discontinuous drift coefficient [PDF]

open access: yes, 2006
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.
core   +3 more sources

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