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Numerical approximation of null controls for the heat equation : Illposedness and remedies
(Inverse Problems, 20101231)The numerical approximation of exact or trajectory controls for the wave equation is known to be a delicate issue, since the pioneering work of GlowinskiLions in the nineties, because of the anomalous behavior of the ... 
Stationary waves to viscous heatconductive gases in halfspace: Existence, stability and convergence rate
(Mathematical Models and Methods in Applied Sciences, 20101231)The main concern of this paper is to study largetime behavior of solutions to an ideal polytropic model of compressible viscous gases in onedimensional halfspace. We consider an outflow problem and obtain a convergence ... 
A variational model for infin ite perimeter segmentations based on lipschitz level set functions: Denoising while keeping finely oscillatory boundaries
(Multiscale Modeling and Simulation, 20101231)We propose a new model for segmenting piecewise constant images with irregular object boundaries: a variant of the ChanVese model [T. F. Chan and L. A. Vese, IEEE Trans. Image Process., 10 (2000), pp. 266277], where the ... 
Asymptotic limits and stabilization for the 1D nonlinear MindlinTimoshenko system
(Journal of Systems Science and Complexity, 20101231)This paper shows how the so called von Kármán model can be obtained as a singular limit of a modified MindlinTimoshenko system when the modulus of elasticity in shear k tends to infinity, provided a regularizing term ... 
A systematic method for building smooth controls for smooth data
(Discrete and Continuous Dynamical Systems  Series B, 20101231)We prove a regularity result for an abstract control problem z' = Az + Bv with initial datum z(0) = z0 in which the goal is to determine a control v such that z(T) = 0. Under standard admissibility and observability ... 
The Hardy inequality and the heat equation in twisted tubes
(Journal des Mathematiques Pures et Appliquees, 20101231)We show that a twist of a threedimensional tube of uniform crosssection yields an improved decay rate for the heat semigroup associated with the Dirichlet Laplacian in the tube. The proof employs Hardy inequalities for ... 
Mathematical Models of Incompressible Fluids as Singular Limits of Complete Fluid Systems
(Milan Journal of Mathematics, 20101231)A rigorous justification of several wellknown mathematical models of incompressible fluid flows can be given in terms of singular limits of the scaled NavierStokesFourier system, where some of the characteristic numbers ... 
Strichartz estimates for the Schrödinger equation on a tree and applications
(SIAM Journal on Mathematical Analysis, 20101231)In this paper, we consider the Schrödinger equation on a network formed by a tree with the last generation of edges formed by infinite strips. We obtain Strichartzlike estimates for the linear semigroup and apply them to ... 
Convergence of trajectories and optimal buffer sizing for AIMD congestion control
(Performance Evaluation, 20101231)We study the interaction between the AIMD (Additive Increase Multiplicative Decrease) multisocket congestion control and a bottleneck router with Drop Tail buffer. We consider the problem in the framework of deterministic ... 
Convergence of trajectories and optimal buffer sizing for MIMD congestion control
(Computer Communications, 20101231)We study the interaction between the MIMD (Multiplicative Increase Multiplicative Decrease) congestion control and a bottleneck router with Drop Tail buffer. We consider the problem in the framework of deterministic hybrid ... 
Numerical equilibrium analysis for structured consumer resource models
(Bulletin of Mathematical Biology, 20101231)In this paper, we present methods for a numerical equilibrium and stability analysis for models of a size structured population competing for an unstructured resource. We concentrate on cases where two model parameters are ... 
Influence of electromechanical effects and wetting layers on band structures of AlN/GaN quantum dots and spin control
(Journal of Applied Physics, 20101231)In a series of recent papers we demonstrated that coupled electromechanical effects can lead to pronounced contributions in band structure calculations of low dimensional semiconductor nanostructures (LDSNs) such as quantum ... 
Band structures of laterally coupled quantum dots, accounting for electromechanical effects
(Journal of Physics: Conference Series, 20101231)In a series of recent papers we demonstrated that coupled electromechanical effects can lead to pronounced contributions in band structure calculations of low dimensional semiconductor nanostructures (LDSNs) such as quantum ... 
Manipulation of single electron spin in a GaAs quantum dot through the application of geometric phases: The Feynman disentangling technique
(Physical Review B  Condensed Matter and Materials Physics, 20101231)The spin of a single electron in an electrically defined quantum dot in a twodimensional electron gas can be manipulated by moving the quantum dot adiabatically in a closed loop in the twodimensional plane under the ... 
Higherorder nonlinear electromechanical effects in wurtzite GaN/AlN quantum dots
(Journal of Physics Condensed Matter, 20101231)As we demonstrated earlier, conventional mathematical models based on linear approximations may be inadequate in the analysis of properties of lowdimensional nanostructures and band structure calculations. In this work, ... 
Geometry and temperature dependent thermal conductivity of diamond nanowires: A nonequilibrium molecular dynamics study
(Physica E: LowDimensional Systems and Nanostructures, 20101231)Using nonequilibrium molecular dynamics methods, the analysis of geometry and temperature dependent thermal conductivities of diamond nanowires is carried out. It is found that at the same temperature conditions, thermal ... 
Coarsegraining RNA nanostructures for molecular dynamics simulations
(Physical Biology, 20101231)A series of coarsegrained models have been developed for study of the molecular dynamics of RNA nanostructures. The models in the series have one to three beads per nucleotide and include different amounts of detailed ... 
Invertibility and weak continuity of the determinant for the modelling of cavitation and fracture in nonlinear elasticity
(Archive for Rational Mechanics and Analysis, 20101231)In this paper, we present and analyze a variational model in nonlinear elasticity that allows for cavitation and fracture. The main idea in unifying the theories of cavitation and fracture is to regard both cavities and ... 
A modeling framework for optimizing the flowlevel scheduling with timevarying channels
(Performance Evaluation, 20101231)We introduce a comprehensive modeling framework for the problem of scheduling a finite number of finitelength jobs where the available service rate is timevarying. The main motivation comes from wireless data networks ... 
Monotonicity properties for multiclass queueing systems
(Discrete Event Dynamic Systems: Theory and Applications, 20101231)We study multidimensional stochastic processes that arise in queueing models used in the performance evaluation of wired and wireless networks. The evolution of the stochastic process is determined by the scheduling policy ...