Magnetized deformable media in general relativity
Magneto-thermoelastic waves in a perfectly conducting elastic half-space in thermoelasticity III.
Magneto-thermoelastic waves induced by a thermal shock in a finitely conducting elastic half space.
Magneto-viscoelastic plane waves in rotating media in the generalized thermoelasticity II.
Mathematical and numerical modelling of piezoelectric sensors
The present work aims at proposing a rigorous analysis of the mathematical and numerical modelling of ultrasonic piezoelectric sensors. This includes the well-posedness of the final model, the rigorous justification of the underlying approximation and the design and analysis of numerical methods. More precisely, we first justify mathematically the classical quasi-static approximation that reduces the electric unknowns to a scalar electric potential. We next justify the reduction of the computation...
Mathematical and numerical modelling of piezoelectric sensors
The present work aims at proposing a rigorous analysis of the mathematical and numerical modelling of ultrasonic piezoelectric sensors. This includes the well-posedness of the final model, the rigorous justification of the underlying approximation and the design and analysis of numerical methods. More precisely, we first justify mathematically the classical quasi-static approximation that reduces the electric unknowns to a scalar electric potential. We next justify the reduction of the computation...
Mathematical and numerical modelling of piezoelectric sensors
The present work aims at proposing a rigorous analysis of the mathematical and numerical modelling of ultrasonic piezoelectric sensors. This includes the well-posedness of the final model, the rigorous justification of the underlying approximation and the design and analysis of numerical methods. More precisely, we first justify mathematically the classical quasi-static approximation that reduces the electric unknowns to a scalar electric potential. We next justify the reduction of the computation...
Mathematical models of phenomenological piezoelectricity
Multipulse chaotic dynamics for a laminated composite piezoelectric plate.