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Stable blow up dynamics for energy supercritical wave equations

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From Wallis to Ramanujan, in companionship with RW Gosper

Manuel Ojanguren

Accelerating the convergence of some hypergeometric series with Gosper's method leads, in a most elementary way, to some series discovered by Ramanujan, Bauer and Dougall. In particular, it is shown that one of them can be traced back to the well-known for ...

2018

Global well-posedness for the Yang-Mills equation in 4+1 dimensions: Small energy

Joachim Krieger, Daniel Tataru

We consider the hyperbolic Yang-Mills equation on the Minkowski space

\reels^{4+1}

. Our main result asserts that this problem is globally well-posed for all initial data whose energy is sufficiently small. This solves a longstanding open problem. ...

Annal Mathematics2017

Morfología urbana Mediterránea

The city is a very complex system in which many parameters converge. The large number of these parameters greatly hinders not only an accurate analysis of all of them, but also the assessment of the phenomena that occur in the city and its impact on the en ...

2016

Energy diaphragm walls for Turin metro

Chiara Cornelio, Alice Di Donna

Energy diaphragm walls for Turin metro: The increasing need for renewable sources of energy for heating and cooling of buildings and infrastructures makes energy geostructures an innovative and interesting technology, which is rapidly spreading all around ...

2016

High voltage x-ray power supply system with dual energy storage system

Dimitri Torregrossa, Mauro Carpita

Medical X-ray power generator system comprising an energy storage section comprising at least one battery unit and at least one supercapacitor (SC) unit, wherein the SC unit and the battery unit are connected in a way as to allow a bidirectional exchange o ...

2016

Think Energy Efficiency the Energy Book for Building Human Interaction

Maher Kayal, Alexandre Ringwald

This paper strives to assemble consumers and providers of energy in a web platform. The goal is to highlight energy consumption of each user to push them to decrease their consumption. All the work is concentrated on a main concept key: to motivate populat ...

Ieee2016

Two subtle convex nonlocal approximations of the BV-norm

Hoài-Minh Nguyên

Inspired by the BBM formula and by work of G. Leoni and D. Spector, we analyze the asymptotic behavior of two sequences of convex nonlocal functionals (Psi(n)(u)) and (Phi(n)(u)) which converge formally to the BV-norm of u. We show that pointwise convergen ...

Elsevier2016

On the Design of Economic NMPC Based on Approximate Turnpike Properties

Dominique Bonvin, Timm Faulwasser

We discuss the design of sampled-data economic nonlinear model predictive control schemes for continuous-time systems based on turnpike properties. In a recent paper we have shown that an exact turnpike property allows establishing finite-time convergence ...

2015

A New Convergence Proof For The Higher-Order Power Method And Generalizations

André Uschmajew

A proof for the point-wise convergence of the factors in the higher-order power method for tensors towards a critical point is given. It is obtained by applying established results from the theory of Lojasiewicz inequalities to the equivalent, unconstraine ...

Yokohama Publ2015

Swiss-EnergyScope.ch: a Platform to Widely Spread Energy Literacy and Aid Decision-Making

François Maréchal, Daniel Favrat, Stefano Moret, Victor Codina Gironès

We develop an energy calculator within an online teaching platform to aid citizens and decision-makers understanding an energy system. The model, designed in order to be easily adapted to any energy system at national or regional scale, is presented and ap ...

Aidic Servizi Srl2014

Global well-posedness for the Yang-Mills equation in 4+1 dimensions: Small energy

Joachim Krieger, Daniel Tataru

We consider the hyperbolic Yang-Mills equation on the Minkowski space

\reels^{4+1}

. Our main result asserts that this problem is globally well-posed for all initial data whose energy is sufficiently small. This solves a longstanding open problem. ...

Annal Mathematics2017