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Now showing items 21-30 of 47

#### Existence, uniqueness and asymptotic behavior of the solutions to the fully parabolic Keller-Segel system in the plane

(Journal of Differential Equations, 2014-12-31)

In the present article we consider several issues concerning the doubly parabolic Keller-Segel system (1.1)-(1.2) in the plane, when the initial data belong to critical scaling-invariant Lebesgue spaces. More specifically, ...

#### Estimating the division rate of the growth-fragmentation equation with a self-similar kernel

(Inverse Problems, 2014-12-31)

We consider the growth-fragmentation equation and we address the problem of estimating the division rate from the stable size distribution of the population, which is easily measured, but non-smooth. We propose a method ...

#### A multilayer method for the hydrostatic Navier-Stokes equations: A particular weak solution

(Journal of Scientific Computing, 2014-12-31)

In this work we present a multilayer approach to the solution of non-stationary 3D Navier-Stokes equations. We use piecewise smooth weak solutions. We approximate the velocity by a piecewise constant (in z) horizontal ...

#### On the Blow Up and Condensation of Supercritical Solutions of the Nordheim Equation for Bosons

(Communications in Mathematical Physics, 2014-12-31)

In this paper we prove that the solutions of the isotropic, spatially homogeneous Nordheim equation for bosons with bounded initial data blow up in finite time in the L‚àû norm if the values of the energy and particle ...

#### Optimal shape and location of sensors or actuators in PDE models

(Proceedings of the American Control Conference, 2014-12-31)

We investigate the problem of optimizing the shape and location of sensors and actuators for evolution systems driven by distributed parameter systems or partial differential equations (PDE). We consider wave, Schr√∂dinger ...

#### Unsteady mixed flows in non uniform closed water pipes: a Full Kinetic Approach

(Numerische Mathematik, 2014-12-31)

We recall the Pressurized and Free Surface model constructed for the modeling of unsteady mixed flows in closed water pipes where transition points between the free surface and pressurized flow are treated as a free boundary ...

#### A note on complete hyperbolic operators with log-Zygmund coefficients

(Fourier Analysis - Pseudo-differential Operators, Time-Frequency Analysis and Partial Differential Equations'', M. Ruzhansky and V. Turunen eds., Trends in Mathematics, Birkh\\\auser, Basel.", 2014-12-31)

The present paper is the continuation of the recent work [7], and it is devoted to strictly hyperbolic operators with non-regular coefficients. We focus here on the case of complete operators whose second-order coefficients ...

#### Control of underwater vehicles in inviscid fluids: I. Irrotational flows

(ESAIM - Control, Optimisation and Calculus of Variations, 2014-12-31)

In this paper, we investigate the controllability of an underwater vehicle immersed in an infinite volume of an inviscid fluid whose flow is assumed to be irrotational. Taking as control input the flow of the fluid through ...

#### Internal control for non-local Schrodinger and wave equations involving the fractional Laplace operator

(, 2014-12-31)

We analyse the interior controllability problem for a non-local Schr\"odinger equation involving the fractional Laplace operator $(-\Delta)^s$, $s\in(0,1)$, on a bounded $C^{1,1}$ domain $\Omega\subset\mathbb{R}^n$. The ...

#### Derivation of a homogenized nonlinear plate theory from 3d elasticity

(Calculus of Variations and Partial Differential Equations, 2014-12-31)

We derive, via simultaneous homogenization and dimension reduction, the (Formula presented.)-limit for thin elastic plates whose energy density oscillates on a scale that is either comparable to, or much smaller than, the ...