Partial differential equations | Tensors

Saint-Venant's compatibility condition

In the mathematical theory of elasticity, Saint-Venant's compatibility condition defines the relationship between the strain and a displacement field by where . Barré de Saint-Venant derived the compatibility condition for an arbitrary symmetric second rank tensor field to be of this form, this has now been generalized to higher rank symmetric tensor fields on spaces of dimension (Wikipedia).

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Is It Better to Be Polite or Frank?

We live in an age that thinks highly of frankness and directness. But there are – nevertheless – a few reasons why politeness remains a hugely important quality. If you like our films, take a look at our shop (we ship worldwide): https://goo.gl/hMBQQs FURTHER READING “For most of hu

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What is Transference And Why It Matters

Transference is a psychological phenomenon whereby we ‘transfer’ a way of behaving from childhood into adulthood – in situations which don’t really warrant it. It’s a big cause of trouble in relationships. If you like our films, take a look at our shop (we ship worldwide): https://goo.gl/U

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Peter Lax: Abstract Phragmen-Lindelöf theorem & Saint Venant’s principle

Programme for the Abel Lectures 2005: 1. "Abstract Phragmen-Lindelöf theorem & Saint Venant’s principle" by Abel Laureate 2005 Peter D. Lax, New York University 2. "Systems of conservation laws" by Professor Sebastian Noelle, CMA Oslo/ RWTH Aachen 3. "Hyperbolic equations and spectral geom

From playlist Abel Lectures

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How to cope with impotence

The cause of certain kinds of impotence lies in a curious and poignant area: with excessive respect. If you like our films, take a look at our shop (we ship worldwide): https://goo.gl/546jfw Join our exclusive mailing list: http://bit.ly/2e0TQNJ Or visit us in person at our London HQ htt

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Philippe Bonneton: Nearshore hydrodynamics - Lecture 2

Recording during the meeting "CEMRACS 2019 - Geophysical Fluids and Gravity Flows" the July 16, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Aud

From playlist Mathematical Physics

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Norbert Verdier : When He was one hundred Years old!

In this Talks we will don’t speak about Joseph-Louis Lagrange (1736-1813) but about Lagrange’s reception at the nineteenth Century. “Who read Lagrange at this Times?”, “Why and How?”, “What does it mean being a mathematician or doing mathematics at this Century” are some of the questions o

From playlist Lagrange Days at CIRM

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David Lannes: Modelling shallow water waves - Lecture 1

A good understanding of waves in shallow water, typically in coastal regions, is important for several environmental and societal issues: submersion risks, protection of harbors, erosion, offshore structures, wave energies, etc. The goal of this serie of lectures is to show how efficient

From playlist Mathematical Physics

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Math Park - 5/04/2014 - Laure Saint-Raymond, singularités des écoulements en eau peu profonde

L'objectif de cet exposé est de décrire le comportement qualitatif des solutions du système de Saint-Venant gouvernant l'écoulement d'une couche mince de fluide incompressible. Pour simplifier, on considérera en fait un modèle scalaire qui présente le même type de phénoménologie, c'est-à-d

From playlist Séminaire Mathematic Park

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Simone de Beauvoir on Existentialism & God (1959)

A version of a video from the old channel. This comes from a 1959 interview with Wilfrid Lemoyne from Radio-Canada. The translation is my mine. More Short Clips: https://www.youtube.com/playlist?list=PLhP9EhPApKE8v8UVlc7JuuNHwvhkaOvzc Existentialists take human existence and the human con

From playlist Shorter Clips & Videos - Philosophy Overdose

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Sartre & Beauvoir on Feminism & Relationships

Jean-Paul Sartre and Simone de Beauvoir discuss feminism, relationships, and children. And then they play checkers. #Philosophy #Sartre #Beauvoir

From playlist Shorter Clips & Videos - Philosophy Overdose

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The Importance of Atonement

The idea of ‘atonement’ sounds very old-fashioned and is deeply rooted in religious tradition. To atone means, in essence, to acknowledge one’s capacity for wrongness and one’s readiness for apology and desire for change. It’s a concept that every society needs at its center. For gifts and

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Jean-Claude Saut : Lagrange and water waves

he most important works of the young Lagrange were two very learned memoirs on sound and its propagation. In a tour de force of mathematical analysis, he solved the relevant partial differential equations in a novel manner and he applied the solutions to a number of acoustic problems. Alth

From playlist Lagrange Days at CIRM

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Why Love and Teaching Belong Together

We might believe that a true lover shouldn’t try to teach us to change in any way – but in fact, an acceptance of a legitimate role for education in love is key to the success of relationships. If you like our films, take a look at our shop (we ship worldwide): http://bit.ly/2dpTr8X F

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Faith and Human Rights

The language of human rights has become the universal moral discourse in our globalized era. Explore how faiths support and motivate respect for these rights or critique and oppose the validity of human rights.

From playlist Faith and Globalization

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Christoph Winges: On the isomorphism conjecture for Waldhausen's algebraic K-theory of spaces

The lecture was held within the framework of the (Junior) Hausdorff Trimester Program Topology: "The Farrell-Jones conjecture" I will survey recent progress on the isomorphism conjecture for Waldhausen's "algebraic K-theory of spaces" functor, and how this relates to the original isomorp

From playlist HIM Lectures: Junior Trimester Program "Topology"

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Arnaud Münch: Asymptotic and null controllability of an advection-diffusion equation

The lecture was held within the of the Hausdorff Trimester Program: Kinetic Theory Abstract: We discuss the asymptotic analysis of the solution of the advection-diffusion equation yt − εyxx + yx = 0 with respect to the parameter ε greater than 0. We describe notably the interaction of

From playlist HIM Lectures: Junior Trimester Program "Kinetic Theory"

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Existentialism and Dating

At first glance, nothing immediately seems to connect the business of dating with the European philosophical movement of Existentialism. However, on closer inspection, the thoughts of Existential philosophers contain a number of insights that serve to illuminate aspects of the dating world

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Laura Fontanella : From forcing models to realizability models

Abstract: We discuss classical realizability, a branch of mathematical logic that investigates the computational content of mathematical proofs by establishing a correspondence between proofs and programs. Research in this field has led to the development of highly technical constructions

From playlist Logic and Foundations

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How to Not Treat Sexy Women Like Sex Objects

What's the difference between being attracted to women and sexually objectifying women? Share this on Facebook: http://on.fb.me/1M9eFTB Share this on Twitter: http://ctt.ec/HbWcs Subscribe: http://bit.ly/1l8JXv3 On the web: http://www.stuffmomnevertoldyou.com/ Twitter: https://twitte

From playlist Media Stuff

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Stephanos Venakides: Rigorous semiclassical asymptotics for integrable systems

The title of the lecture is shortened to comply with Youtubes' title policy. The original title of this lecture is "Rigorous semiclassical asymptotics for integrable systems:The KdV and focusing NLS cases". Programme for the Abel Lectures 2005: 1. "Abstract Phragmen-Lindelöf theorem & Sa

From playlist Abel Lectures

Related pages

De Rham cohomology | Differential form | Symmetric tensor | Eugenio Beltrami | Tensor field | Lie derivative | Riemann curvature tensor | Euclidean space | First variation