Multiple return times theorems for weakly mixing systems
Multiplicity of polynomials on trajectories of polynomial vector fields in
Let ξ be a polynomial vector field on with coefficients of degree d and P be a polynomial of degree p. We are interested in bounding the multiplicity of a zero of a restriction of P to a non-singular trajectory of ξ, when P does not vanish identically on this trajectory. Bounds doubly exponential in terms of n are already known ([9,5,10]). In this paper, we prove that, when n=3, there is a bound of the form . In Control Theory, such a bound can be used to give an estimate of the degree of nonholonomy...
Multiscale modeling and mathematical problems related to tumor evolution and medical therapy.
Multiscale modelling of sound propagation through the lung parenchyma
In this paper we develop and study numerically a model to describe some aspects of sound propagation in the human lung, considered as a deformable and viscoelastic porous medium (the parenchyma) with millions of alveoli filled with air. Transmission of sound through the lung above 1 kHz is known to be highly frequency-dependent. We pursue the key idea that the viscoelastic parenchyma structure is highly heterogeneous on the small scale ε and use two-scale homogenization techniques to derive effective...
Multiscale modelling of tumour growth and therapy: the influence of vessel normalisation on chemotherapy.
Multisensor estimation: New distributed algorithms.
Multitime linear-quadratic regulator problem based on curvilinear integral.
Multivariable deadbeat servo problem