Partial differential equations

Zakharov system

In mathematics, the Zakharov system is a system of non-linear partial differential equations, introduced by Vladimir Zakharov in 1972 to describe the propagation of Langmuir waves in an ionized plasma. The system consists of a complex field u and a real field n satisfying the equations (Wikipedia).

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GTAC 2014: Going Green: Cleaning up the Toxic Mobile Environment

Thomas Knych (Google), Stefan Ramsauer (Google), Valera Zakharov (Google) and Vishal Sethia (Google) We will present tools and techniques for creating fast, stable, hermetic test environments for executing Android tests in both interactive development and continuous integration modes. Thi

From playlist GTAC 2014

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Everything You Need to Know About Control Theory

Control theory is a mathematical framework that gives us the tools to develop autonomous systems. Walk through all the different aspects of control theory that you need to know. Some of the concepts that are covered include: - The difference between open-loop and closed-loop control - How

From playlist Control Systems in Practice

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NAKANISHI Kenji - Wellposedness and scattering for the Zakharov system in four dimensions

This is joint work with Ioan Bejenaru, Zihua Guo and Sebastian Herr. We consider the Cauchy problem for the Zakharov system in four space dimensions, extending the local wellposedness by Ginibre, Tsutsumi and Velo to wider range of Sobolev exponents, together with scattering f

From playlist Trimestre "Ondes Non Linéaires" - May Conference

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Column space of a matrix

We have already looked at the column view of a matrix. In this video lecture I want to expand on this topic to show you that each matrix has a column space. If a matrix is part of a linear system then a linear combination of the columns creates a column space. The vector created by the

From playlist Introducing linear algebra

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Valeria BANICA - Collision of almost parallel vortex filaments

We investigate the occurrence of collisions in the evolution of vortex filaments through a system introduced by Klein, Majda and Damodaran and by Zakharov. We first establish rigorously the existence of a pair of almost parallel vortex filaments, with opposite circula

From playlist Trimestre "Ondes Non linéaires" - June Conference

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B18 Plane autonomous systems

In this section I introduce plane autonomous systems, which form beautiful and useful vector fields.

From playlist A Second Course in Differential Equations

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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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Using Multipliers to Solve a System of Equations Using Elimination

👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e

From playlist Solve a System of Equations Using Elimination | Hard

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Systems of linear equations

Systems of linear equations seek a common solution for the unknowns across more than one equation. It can be very simple to calculate a solution using simple algebra. Alternatively you can use elementary row operations or even lines and planes in two- and three-dimensional space. At th

From playlist Introducing linear algebra

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Geometry of Linear Systems | Linear Algebra

In this video, we introduce matrices and systems of linear equations, the core of linear algebra. Our focus will be on the intuition behind matrices, linear systems, linear maps, and vector spaces, developing key insights into the fundamentals of linear algebra. There are many videos on

From playlist Linear Algebra

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Vladimir Zakharov : Unresolved problems in the theory of integrable systems

Abstract: In spite of enormous success of the theory of integrable systems, at least three important problems are not resolved yet or are resolved only partly. They are the following: 1. The IST in the case of arbitrary bounded initial data. 2. The statistical description of the systems i

From playlist Mathematical Physics

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Few-Shot Adversarial Learning of Realistic Neural Talking Head Models

Statement regarding the purpose and effect of the technology (NB: this statement reflects personal opinions of the authors and not of their organizations) We believe that telepresence technologies in AR, VR and other media are to transform the world in the not-so-distant future. Shifting

From playlist Top 10 Tutorials and Talks: Adversarial Machine Learning

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How to Solve a System by Using Two Multipliers for Elimination

👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e

From playlist Solve a System of Equations Using Elimination | Hard

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Using Two Multipliers to Solve a System of Equations with Elimination

👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e

From playlist Solve a System of Equations Using Elimination | Hard

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System of Equations with Three Equations and Three Variables

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys System of Equations with Three Equations and Three Variables

From playlist Systems of Equations

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GTAC 2013: Breaking the Matrix - Android Testing at Scale

http://g.co/gtac2013 Slides: http://goo.gl/RltPp Thomas Knych, Stefan Ramsauer, & Valera Zakharov, Google Are you ready to take the red pill? Mobile has changed the way humans interact with computers. This is great, but as engineers we're faced with an ever growing matrix of environments

From playlist GTAC 2013

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Time quasi-periodic gravity water waves in finite depth - Massimiliano Berti

http://www.math.ias.edu/seminars/abstract?event=132449 More videos on http://video.ias.edu

From playlist Mathematics

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Thomas Bothner: When J. Ginibre met E. Schrödinger

The real Ginibre ensemble consists of square real matrices whose entries are i.i.d. standard normal random variables. In sharp contrast to the complex and quaternion Ginibre ensemble, real eigenvalues in the real Ginibre ensemble attain positive likelihood. In turn, the spectral radius of

From playlist Probability and Statistics

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Vector Bundles on Riemann Surfaces and Metric Graphs by Martin Ulirsch

PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is the study of

From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)

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Using a multiplier with one equation to use the add method to solve the system of equation

👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e

From playlist Solve a System of Equations Using Elimination | Medium

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