Partial differential equations
In the study of partial differential equations, particularly in fluid dynamics, a self-similar solution is a form of solution which is similar to itself if the independent and dependent variables are appropriately scaled. Self-similar solutions appear whenever the problem lacks a characteristic length or time scale (for example, the Blasius boundary layer of an infinite plate, but not of a finite-length plate). These include, for example, the Blasius boundary layer or the Sedov–Taylor shell. (Wikipedia).
Solving two triangles are similar using SSS
👉 Learn how to solve with similar triangles. Two triangles are said to be similar if the corresponding angles are congruent (equal). Note that two triangles are similar does not imply that the length of the sides are equal but the sides are proportional. Knowledge of the length of the side
From playlist Similar Triangles
👉 Learn how to solve with similar triangles. Two triangles are said to be similar if the corresponding angles are congruent (equal). Note that two triangles are similar does not imply that the length of the sides are equal but the sides are proportional. Knowledge of the length of the side
From playlist Similar Triangles
What is the similarity of triangles for SSS
👉 Learn how to solve with similar triangles. Two triangles are said to be similar if the corresponding angles are congruent (equal). Note that two triangles are similar does not imply that the length of the sides are equal but the sides are proportional. Knowledge of the length of the side
From playlist Similar Triangles
Given two similar triangles determine the values of x and y for the angles
👉 Learn how to solve with similar triangles. Two triangles are said to be similar if the corresponding angles are congruent (equal). Note that two triangles are similar does not imply that the length of the sides are equal but the sides are proportional. Knowledge of the length of the side
From playlist Similar Triangles
You’ve heard about similar triangles, but do you know what technically makes two triangles similar? Informally, we can say that two triangles are similar if their associated angles are congruent. In other words, their angle measures have to be the same. However, the triangles don’t necess
From playlist Popular Questions
Showing two triangles are similar using SAS
👉 Learn how to solve with similar triangles. Two triangles are said to be similar if the corresponding angles are congruent (equal). Note that two triangles are similar does not imply that the length of the sides are equal but the sides are proportional. Knowledge of the length of the side
From playlist Similar Triangles
How congruent triangles compare to similar triangles
👉 Learn how to solve with similar triangles. Two triangles are said to be similar if the corresponding angles are congruent (equal). Note that two triangles are similar does not imply that the length of the sides are equal but the sides are proportional. Knowledge of the length of the side
From playlist Similar Triangles
Geometry - How to show two triangles are similar using AA with parallel sides
👉 Learn how to solve with similar triangles. Two triangles are said to be similar if the corresponding angles are congruent (equal). Note that two triangles are similar does not imply that the length of the sides are equal but the sides are proportional. Knowledge of the length of the side
From playlist Similar Triangles
Piotr BIZON - Blowup for supercritical equivariant wave maps
We consider equivariant wave maps from R^{d+1} into S^d for d\geq 3. Using mixed analytic and numerical tools we describe the dynamics of generic blowup and the threshold for blowup. We hope that our plausibility arguments will stimulate rigorous studies of this
From playlist Trimestre "Ondes Non Linéaires" - May Conference
Mahir HADZIC - Nonlinear stability of expanding stars in the mass-critical Euler-Poisson system
The gravitational Euler-Poisson system is a fundamental astrophysics model of a Newtonian star. We first give a brief overview of the existing results on the free-boundary compressible Euler-Poisson system. We then study the question of nonlinear stability
From playlist Trimestre "Ondes Non Linéaires" - May Conference
Yakov Shlapentokh-Rothman - On Naked Singularities for the Einstein Vacuum Equations - IPAM at UCLA
Recorded 26 October 2021. Yakov Shlapentokh-Rothman of the University of Toronto presents "On Naked Singularities for the Einstein Vacuum Equations" at IPAM's Workshop II: Mathematical and Numerical Aspects of Gravitation. Abstract: I will describe joint work and work in progress with Igor
From playlist Workshop: Mathematical and Numerical Aspects of Gravitation
On the unpredictability of fluid motions - Dallas Albritton
Members’ Colloquium Topic: On the unpredictability of fluid motions Speaker: Dallas Albritton Affiliation: Member, School of Mathematics Date: March 21, 2022 The fundamental equations of fluid dynamics exhibit non-uniqueness. Is this a mathematical fluke, or do the equations fail to uniq
From playlist Mathematics
Seminar In the Analysis and Methods of PDE (SIAM PDE): Vlad Vicol
Date: November 5, 2020 Speaker: Vlad Vicol, Courant Institute of Mathematical Sciences, NYU Title: Shock formation and vorticity creation for compressible Euler Abstract: In this talk, I will discuss a long term project, joint with Tristan Buckmaster and Steve Shkoller, concerning the f
From playlist Seminar In the Analysis and Methods of PDE (SIAM PDE)
Self-similar gravitational collapse - Juhi Jang
Workshop on Recent developments in incompressible fluid dynamics Topic: Self-similar gravitational collapse Speaker: Juhi Jang Affiliation: University of Southern California Date: April 07, 2022 We discuss recent mathematical constructions of self-similar gravitational collapse for Newto
From playlist Mathematics
(New Version Available) Similar Polygons
New Version Fixed a Typo: https://youtu.be/U4l-cwalgIE This video defines similar polygons and shows how to use the properties of similar triangles to solve for unknown values. Complete Video List: http://www.mathispower4u.yolasite.com
From playlist Angles and Right Triangles
Panagiota Daskalopoulos: 1/3 Ancient Solutions to Geometric Flows [2017]
Ancient Solutions to Geometric Flows Speaker: Panagiota Daskalopoulos, Columbia University Date and Time: Tuesday, October 3, 2017 - 4:30pm to 5:30pm Location: Fields Institute, Room 230 Abstract: Some of the most important problems in geometricgeometric flowsflows are related to the un
From playlist Mathematics
Sijue WU - On two dimensional gravity water waves with angled crests
In this talk, I will survey the recent understandings on the motion of water waves obtained via rigorous mathematical tools, this includes the evolution of smooth initial data and some typical singular behaviors. In particular, I will present our recently results on gravity wate
From playlist Trimestre "Ondes Non linéaires" - Summer school
Classical vs Quantum Field Treatments of Axions by Sankha S. Chakrabarty
PROGRAM LESS TRAVELLED PATH OF DARK MATTER: AXIONS AND PRIMORDIAL BLACK HOLES (ONLINE) ORGANIZERS: Subinoy Das (IIA, Bangalore), Koushik Dutta (IISER, Kolkata / SINP, Kolkata), Raghavan Rangarajan (Ahmedabad University) and Vikram Rentala (IIT Bombay) DATE: 09 November 2020 to 13 Novemb
From playlist Less Travelled Path of Dark Matter: Axions and Primordial Black Holes (Online)
Using Similarity and proportions to find the missing values
👉 Learn how to solve with similar triangles. Two triangles are said to be similar if the corresponding angles are congruent (equal). Note that two triangles are similar does not imply that the length of the sides are equal but the sides are proportional. Knowledge of the length of the side
From playlist Similar Triangles
Non-uniqueness of Leray solutions of the forced Navier-Stokes equations - Dallas Albritton
Seminar in Analysis and Geometry Topic: Non-uniqueness of Leray solutions of the forced Navier-Stokes equations Speaker: Dallas Albritton Affiliation: Member, School of Mathematics Date: January 18, 2022
From playlist Mathematics