On microelectromechanical systems with general permittivity
On microelectromechanical systems with general permittivity
Dans le cadre de la thèse des modèles physico-mathématiques pour des microsystèmes électromécaniques avec une permittivité générale sont développés et analysés par des méthodes mathématiques modernes du domaine des équations aux dérivées partielles. En particulier ces systèmes sont à frontière libre et pour conséquence difficiles à traiter. Des méthodes numériques ont été développées pour valider les résultats analytiques obtenus.
In the framework of this thesis physical/mathematical models for microelectromechanical systems with general permittivity have been developed and analysed with modern mathematical methods from the domain of partial differential equations. In particular these systems are moving boundary problems and thus difficult to handle. Numerical methods have been developed in order to validate the obtained analytical results.
- French National Centre for Scientific Research France
- Sorbonne University France
- École Normale Supérieure Burundi
Équation d’évolution nonlinéaire, Microsystèmes électromécaniques, Systems of partial differential equations, nichtlineare Evolutionsgleichungen, Microelectromechanical systems (MEMS), Singularitäten nach endlicher Zeit, Finite-Time singularities, Problème à frontière libre, partial differential equations, Nonlinear evolution equations, finite-time singularities, [PHYS.MECA.SOLID] Physics [physics]/Mechanics [physics]/Solid mechanics [physics.class-ph], Singularités en temps fini, Systèmes d’équations aux dérivées partielles couplées, freie Randwertprobleme, nonlinear evolution equations, permittivity, Dewey Decimal Classification::500 | Naturwissenschaften::510 | Mathematik, Free boundary value problem, Permittivität, Permittivity, free boundary value problem, partielle Differentialgleichungen, Permittivité générale, Microelectromechanical systems, Mikroelektromechanische Systeme
Équation d’évolution nonlinéaire, Microsystèmes électromécaniques, Systems of partial differential equations, nichtlineare Evolutionsgleichungen, Microelectromechanical systems (MEMS), Singularitäten nach endlicher Zeit, Finite-Time singularities, Problème à frontière libre, partial differential equations, Nonlinear evolution equations, finite-time singularities, [PHYS.MECA.SOLID] Physics [physics]/Mechanics [physics]/Solid mechanics [physics.class-ph], Singularités en temps fini, Systèmes d’équations aux dérivées partielles couplées, freie Randwertprobleme, nonlinear evolution equations, permittivity, Dewey Decimal Classification::500 | Naturwissenschaften::510 | Mathematik, Free boundary value problem, Permittivität, Permittivity, free boundary value problem, partielle Differentialgleichungen, Permittivité générale, Microelectromechanical systems, Mikroelektromechanische Systeme
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