Publications related to On stable self-similar blow up for equivariant wave maps: The linearized problem

Concentration compactness for critical radial wave maps

We consider radially symmetric, energy critical wave maps from (1 + 2)-dimensional Minkowski space into the unit sphere

\mathbf{S}^m

, m≥1, and prove global regularity and scattering for classical smooth data of finite energy. In addition, we establish a ...

2018

Bidirectional motion of filaments: the role of motor proteins and passive cross linkers

Ignacio Pagonabarraga Mora

In eukaryotic cells, motor proteins (MPs) bind to cytoskeletal filaments and move along them in a directed manner generating active stresses. During cell division a spindle structure of overlapping antiparallel microtubules forms whose stability and dynami ...

Royal Soc Chemistry2017

Numerical homogenization methods for advection-diffusion and nonlinear monotone problems with multiple scales

Martin Ernst Huber

Many applied problems, like transport processes in porous media or ferromagnetism in composite materials, can be modeled by partial differential equations (PDEs) with heterogeneous coefficients that rapidly vary at small scales. To capture the effective be ...

EPFL2015

Soft Constrained Model Predictive Control With Robust Stability Guarantees

Colin Neil Jones, Melanie Nicole Zeilinger

Soft constrained model predictive control (MPC) is frequently applied in practice in order to ensure feasibility of the optimization during online operation. Standard techniques offer global feasibility by relaxing state or output constraints, but cannot e ...

Institute of Electrical and Electronics Engineers2014

Convergence of a stabilized discontinuous Galerkin method for incompressible nonlinear elasticity

Alfio Quarteroni, Ricardo Esteban Ruiz Baier, Davide Baroli

In this paper we present a discontinuous Galerkin method applied to incompressible nonlinear elastostatics in a total Lagrangian deformation-pressure formulation, for which a suitable interior penalty stabilization is applied. We prove that the proposed di ...

Springer Verlag2013

Modelling and stability analysis of the 155 mm spin-stabilised projectile equipped with steering fins

Yannick Morel

The presented work concerns the modelling and stability analysis of 155 mm spin-stabilised projectiles equipped with steering fins. While a large roll rate provides the projectile with interesting stability properties, it also renders the steering control ...

Inderscience2011

Optimization Problem Coupled with Differential Equations: A Numerical Algorithm Mixing an Interior-Point Method and Event Detection

Jacques Rappaz, Alexandre Caboussat, Christian Landry

The numerical analysis of a dynamic constrained optimization problem is presented. It consists of a global minimization problem that is coupled with a system of ordinary differential equations. The activation and the deactivation of inequality constraints ...

2010

Ideal knots and other packing problems of tubes

Henryk Gerlach

This thesis concerns optimal packing problems of tubes, or thick curves, where thickness is defined as follows. Three points on a closed space curve define a circle. Taking the infimum over all radii of pairwise-distinct point triples defines the thickness ...

EPFL2010

Robust stability properties of soft constrained MPC

Colin Neil Jones, Melanie Nicole Zeilinger

In Model Predictive Control, the enforcement of hard state constraints can be overly conservative or even infeasible, especially in the presence of disturbances. This work presents a soft constrained MPC approach that provides closed- loop stability even f ...

IEEE2010

Nonlinear Stability of Self-Similar Solutions for Semilinear Wave Equations

Roland Donninger

We prove nonlinear stability of the fundamental self-similar solution of the wave equation with a focusing power nonlinearity tt-=p for [image omitted] in the radial case. The proof is based on a semigroup formulation of the wave equation in similarity coo ...

Taylor & Francis2010

On stable self-similar blow up for equivariant wave maps: The linearized problem

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Concentration compactness for critical radial wave maps

Bidirectional motion of filaments: the role of motor proteins and passive cross linkers

Numerical homogenization methods for advection-diffusion and nonlinear monotone problems with multiple scales

Soft Constrained Model Predictive Control With Robust Stability Guarantees

Convergence of a stabilized discontinuous Galerkin method for incompressible nonlinear elasticity

Modelling and stability analysis of the 155 mm spin-stabilised projectile equipped with steering fins

Optimization Problem Coupled with Differential Equations: A Numerical Algorithm Mixing an Interior-Point Method and Event Detection

Ideal knots and other packing problems of tubes

Robust stability properties of soft constrained MPC

Nonlinear Stability of Self-Similar Solutions for Semilinear Wave Equations

Bidirectional motion of filaments: the role of motor proteins and passive cross linkers

Soft Constrained Model Predictive Control With Robust Stability Guarantees

Ideal knots and other packing problems of tubes

Modelling and stability analysis of the 155 mm spin-stabilised projectile equipped with steering fins

Optimization Problem Coupled with Differential Equations: A Numerical Algorithm Mixing an Interior-Point Method and Event Detection

Concentration compactness for critical radial wave maps

Numerical homogenization methods for advection-diffusion and nonlinear monotone problems with multiple scales

Convergence of a stabilized discontinuous Galerkin method for incompressible nonlinear elasticity

Robust stability properties of soft constrained MPC

Nonlinear Stability of Self-Similar Solutions for Semilinear Wave Equations