Convergence of fully discrete schemes for diffusive dispersive conservation laws with discontinuous coefficient [PDF]
, 2016 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,
Ujjwal Koley +5 more
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On the existence of Feller semigroups with discontinuous coefficients II [PDF]
Acta Mathematica Sinica, English Series, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Journal 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
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VIBRATIONS OF SEMI-BOUNDED STRING INITIATED BY THE BOUNDARY DATA
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2019 Transverse vibrations of a semi-bounded string consisting of different materials are considered. The mathematical model is a homogeneous wave equation with piecewise constant coefficients.
Anikonov Dmitry, Konovalova Dina
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On the convergence analysis of a time dependent elliptic equation with discontinuous coefficients
Advances in Nonlinear Analysis, 2019 In this paper, we consider a heat equation with diffusion coefficient that varies depending on the heterogeneity of the domain. We propose a spectral elements discretization of this problem with the mortar domain decomposition method on the space ...
Abdelwahed Mohamed, Chorfi Nejmeddine
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Uniqueness for Some Diffusions with Discontinuous Coefficients
The Annals of Probability, 1991 The authors show the uniqueness of the martingale problem for a second order operator \(L\) where \(A\) is the matrix of its coefficients under the assumption that \(A\) is bounded, symmetric, uniformly positive definite and continuous on \(\mathbb{R}^ n\) except a countable set with at most one cluster point.
CERUTTI, MARIA CRISTINA +2 more
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Study on the Nonlinear Dynamic Behavior of Rattling Vibration in Gear Systems
Machines, 2022 To reveal the nonlinear dynamic behavior of gear rattling vibration caused by gear backlash, a 2-DOF oscillator model with spring and damping elements was established. Based on the theory of discontinuous dynamical systems, the phase plane of gear motion
Yang Liu +4 more
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Stability of Conservation Laws with Discontinuous Coefficients
Journal of Differential Equations, 1999 In this paper the authors study an interesting generalization of ``classical'' hyperbolic conservation laws taking the flux function that may depend discontinuously on the space variable. This is a model problem that arises in many important applications, such as traffic flow problem or two-phase flow in porous media.
Klausen, Runhild Aae +1 more
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Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient and applications [PDF]
, 2006 International audienceWe study the observability and some of its consequences for the one-dimensional heat equation with a discontinuous coefficient (piecewise $\Con^1$).
Jérôme Le Rousseau +5 more
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An exponential timestepping algorithm for diffusion with discontinuous coefficients [PDF]
Journal of Computational Physics, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lejay, Antoine +2 more
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