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We consider the inverse problem of determining how the physiological structure of a harvested population evolves in time, and of finding the time-dependent effort to be expended in harvesting, so that the weighted integral of the density, which may be, for example, the total number of individuals or the total biomass, has prescribed dynamics. We give conditions for the existence of a unique, global, weak solution to the problem. Our investigation is carried out using the method of characteristics...
Inertial manifold with delay (IMD) for dissipative systems of second order in time is
constructed. This result is applied to the study of different asymptotic properties of
solutions. Using IMD, we construct approximate inertial manifolds containing all the
stationary solutions and give a new characterization of the K-invariant manifold.
A strictly hyperbolic quasi-linear 2×2 system in two independent
variables with C2 coefficients is considered. The existence of a simple
wave solution in the sense that the solution is a 2-dimensional vector-valued
function of the so called Riemann invariant is discussed. It is shown, through
a purely geometrical approach, that there always exists simple wave solution
for the general system when the coefficients are arbitrary C^2 functions
depending on both, dependent and independent variables.
These past few years, new types of computational architectures based on graphics processors have emerged. These technologies provide important computational resources at low cost and low energy consumption. Lots of developments have been done around GPU and many tools and libraries are now available to implement efficiently softwares on those architectures.This article contains the two contributions of the mini-symposium about GPU organized by Loïc Gouarin (Laboratoire de Mathématiques d’Orsay),...
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