Solvability of a boundary-value problem for transonic flow in a nozzle.
Kuz'min, A.G. (2000)
Zeitschrift für Analysis und ihre Anwendungen
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Kuz'min, A.G. (2000)
Zeitschrift für Analysis und ihre Anwendungen
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Maria Neuss-Radu (2001)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In this paper, we study how solutions to elliptic problems with periodically oscillating coefficients behave in the neighborhood of the boundary of a domain. We extend the results known for flat boundaries to domains with curved boundaries in the case of a layered medium. This is done by generalizing the notion of boundary layer and by defining boundary correctors which lead to an approximation of order in the energy norm.
Hayasida, K. (2000)
Zeitschrift für Analysis und ihre Anwendungen
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Lažetić, Nebojša L. (2000)
Publications de l'Institut Mathématique. Nouvelle Série
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Lauer, Susan D. (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Yue-Jun Peng (2001)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We deal with boundary layers and quasi-neutral limits in the drift-diffusion equations. We first show that this limit is unique and determined by a system of two decoupled equations with given initial and boundary conditions. Then we establish the boundary layer equations and prove the existence and uniqueness of solutions with exponential decay. This yields a globally strong convergence (with respect to the domain) of the sequence of solutions and an optimal convergence rate to the...
Serge Nicaise, Cristina Pignotti (2003)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider the stabilization of Maxwell’s equations with space-time variable coefficients in a bounded region with a smooth boundary by means of linear or nonlinear Silver–Müller boundary condition. This is based on some stability estimates that are obtained using the “standard” identity with multiplier and appropriate properties of the feedback. We deduce an explicit decay rate of the energy, for instance exponential, polynomial or logarithmic decays are available for appropriate feedbacks. ...
Dejan Bojović, Boško Jovanović (1997)
Matematički Vesnik
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Johnsen, Jon. (2000)
Zeitschrift für Analysis und ihre Anwendungen
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Cavalcanti, M.M. (1998)
The New York Journal of Mathematics [electronic only]
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Long, N.T., Nghia, N.H. (2000)
Zeitschrift für Analysis und ihre Anwendungen
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Kocić, Vlajko Lj. (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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