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Now showing items 11-20 of 223

#### Numerical meshes ensuring uniform observability of one-dimensional waves: Construction and analysis

(IMA Journal of Numerical Analysis, 2016-01-01)

We build nonuniform numerical meshes for the finite difference and finite element approximations of the one-dimensional wave equation, ensuring that all numerical solutions reach the boundary, as continuous solutions do, ...

#### Dispersion for 1-d Schrödinger and wave equations with bv coefficients

(Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, 2016-01-01)

In this paper we analyze the dispersion for one dimensional wave and Schrödinger equations with BV coefficients. In the case of the wave equation we give a complete answer in terms of the variation of the logarithm of the ...

#### An ADER-type scheme for a class of equations arising from the water-wave theory

(Computers and Fluids, 2016-01-01)

In this work we propose a numerical strategy to solve a family of partial differential equations arising from the water-wave theory. These problems may contain four terms; a source which is an algebraic function of the ...

#### A hyperbolic system and the cost of the null controllability for the Stokes system

(Computational and Applied Mathematics, 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 $e^{C/T}$ ...

#### Finite time blow-up for the bosonic Nordheim equation

(Inventiones mathematicae, 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 ...

#### Parallelizing the Kolmogorov-Fokker-Planck Equation

(ESAIM M2AN: Mathematical Modelling and Numerical Analysis, 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 ...

#### Molien series and low-degree invariants for a natural action of $SO(3) \wr Z_2$

(Journal of Physics A: Mathematical and Theoretical, 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

(Complex Variables and Elliptic Equations, 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 ...

#### Long time dynamics of a multidimensional nonlinear lattice with memory

(Discrete and Continuous Dynamical Systems - Series B, 2015-12-31)

This work is devoted to study the nature of vibrations arising in a multidimensional nonlinear periodic lattice structure with memory. We prove the existence of a global attractor. In the homogeneous case under a restriction ...

#### Control of a hysteresis model subject to random failures

(Lecture Notes in Electrical Engineering, 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 ...