The time constant and critical probabilities in percolation models.
The use of Laguerre-Sonine polynomials in solving Boltzmann's equation (II).
The Vlasov equation with strong mangnetic field and oscillating electric field as a model for isotop resonant separation.
Théorie mathématique des machines à air chaud.
Time asymptotic description of an abstract Cauchy problem solution and application to transport equation
In this paper, we study the time asymptotic behavior of the solution to an abstract Cauchy problem on Banach spaces without restriction on the initial data. The abstract results are then applied to the study of the time asymptotic behavior of solutions of an one-dimensional transport equation with boundary conditions in -space arising in growing cell populations and originally introduced by M. Rotenberg, J. Theoret. Biol. 103 (1983), 181–199.
Time delay in chemical exchange during an NMR pulse
Spin exchange with a time delay in NMR (nuclear magnetic resonance) was treated in a previous work. In the present work the idea is applied to a case where all magnetization components are relevant. The resulting DDE (delay differential equations) are formally solved by the Laplace transform. Then the stability of the system is studied using the real and imaginary parts of the determinant in the characteristic equation. Using typical parameter values for the DDE system, stability is shown for all...
Transport operator on phase spaces with finite time of sojourn property.
Travelling waves for the Gross-Pitaevskii equation I
Two dimensional lattice vibrations from direct product representations of symmetry groups.
Two shallow-water type models for viscoelastic flows from kinetic theory for polymers solutions
In this work, depending on the relation between the Deborah, the Reynolds and the aspect ratio numbers, we formally derived shallow-water type systems starting from a micro-macro description for non-Newtonian fluids in a thin domain governed by an elastic dumbbell type model with a slip boundary condition at the bottom. The result has been announced by the authors in [G. Narbona-Reina, D. Bresch, Numer. Math. and Advanced Appl. Springer Verlag (2010)] and in the present paper, we provide a self-contained...
Two solvable systems of coagulation equations with limited aggregations