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Parallelizing the Kolmogorov-Fokker-Planck Equation
(2015-12-31)
We design two parallel schemes, based on Schwarz Waveform Relaxation (SWR) procedures, for the numerical solution of the Kolmogorov equation. The latter is a simplified version of the Fokker-Planck equation describing the ...
Control of a hysteresis model subject to random failures
(2015-12-31)
The note presents conditions to assure weak stability in the mean for a hysteresis Bouc-Wen model controlled by a proportional-integral controller subject to random failures. When a failure happens, the controller turns ...
A hyperbolic system and the cost of the null controllability for the Stokes system
(2015-12-31)
This paper is devoted to study the cost of the null controllability for the Stokes system. Using the control transmutation method, we show that the cost of driving the Stokes system to rest at time $T$ is of order $e^{C/T}$ ...
Molien series and low-degree invariants for a natural action of $SO(3) \wr Z_2$
(2015-12-31)
We investigate the invariants of the 25-dimensional real representation of the group SO(3) ? Z2 given by the left and right actions of SO(3) on 5 5 matrices together with matrix transposition; the action on column vectors ...
Hard-type inequalities for $\Delta_{\lambda}$-Laplacians
(2015-12-31)
We derive Hardy-type inequalities for a large class of sub-elliptic operators that belong to the class of (Formula presented.) -Laplacians and find explicit values for the constants involved. Our results generalize previous ...
Critical points and symmetries of a free energy function for biaxial nematic liquid crystals
(2015-12-31)
We describe a general mean field model for the free energy function for a homogeneous medium of mutually interacting molecules, based on the formalism for a biaxial nematic liquid crystal set out by Katriel et al (1986) ...
Optimal Shape and Location of Sensors for Parabolic Equations with Random Initial Data
(2015-12-31)
In this article, we consider parabolic equations on a bounded open connected subset Rn. We model and investigate the problem of optimal shape and location of the observation domain having a prescribed measure. This problem ...
Numerical approximation schemes for multi-dimensional wave equations in asymmetric spaces
(2015-12-31)
We develop finite difference numerical schemes for a model arising in multi-body structures, previously analyzed by H. Koch and E. Zuazua, constituted by two n-dimensional wave equations coupled with a (n - 1)- dimensional ...
Finite time blow-up for the bosonic Nordheim equation
(2015-12-31)
The homogeneous bosonic Nordheim equation is a kinetic equation describing the dynamics of the distribution of particles in the space of moments for a homogeneous, weakly interacting, quantum gas of bosons. We show the ...
Complexity and regularity of maximal energy domains for the wave equation with fixed initial data
(2015-12-31)
We consider the homogeneous wave equation on a bounded open connected subset Ω of IRn. Some initial data being specified, we consider the problem of determining a measurable subset ω of Ω maximizing the L2-norm of the ...