Non-uniqueness of Leray solutions of the forced Navier-Stokes equations - Maria Colombo
Workshop on Recent developments in incompressible fluid dynamics Topic: Non-uniqueness of Leray solutions of the forced Navier-Stokes equations Speaker: Maria Colombo Affiliation: EPFL Date: April 08, 2022 In his seminal work, Leray demonstrated the existence of global weak solutions, wi
From playlist Mathematics
Stable Homotopy Seminar, 12: The Atiyah-Hirzebruch Spectral Sequence (Caleb Ji)
Caleb Ji gives us an overview of spectral sequences, focusing on the example of the Leray-Serre spectral sequence which is used to prove the equivalence of cellular and singular homology. He then defines the Atiyah-Hirzebruch spectral sequence, which is used to compute extraordinary cohomo
From playlist Stable Homotopy Seminar
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
What is the definition of a geometric sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
Leray spectral sequence continued, computing derived pushforwards, strict henselizations and stalks of derived pushforwards, Weil-Divisor exact sequence, cohomology of the sheaf of divisors, reduction to Galois cohomology, intro to Brauer groups
From playlist Étale cohomology and the Weil conjectures
Gregory Henselman-Petrusek (9/28/22): Saecular persistence
Homology with field coefficients has become a mainstay of modern TDA, thanks in part to structure theorems which decompose the corresponding persistence modules. This naturally begs the question -- what of integer coefficients? Or homotopy? We introduce saecular persistence, a categoric
From playlist AATRN 2022
Hilbert's theorem 90, étale cohomology of G_m in low degrees, the Kummer sequence, cohomology of mu_l and Z/lZ in low degrees, statement of étale cohomology for curves, Leray spectral sequence
From playlist Étale cohomology and the Weil conjectures
Camillo De Lellis: Ill-posedness for Leray solutions of the ipodissipative Navier-Stokes equations
Abstract: In a joint work with Maria Colombo and Luigi De Rosa we consider the Cauchy problem for the ipodissipative Navier-Stokes equations, where the classical Laplacian −Δ is substited by a fractional Laplacian (−Δ)α. Although a classical Hopf approach via a Galerkin approximation shows
From playlist Partial Differential Equations
Ladyzhenskaya Lecture 2022 | Mimi Dai - A path of understanding fluid equations
Mimi Dai (University of Illinois, Chicago) A path of understanding fluid equations: from Leray to Ladyzhenskaya, and beyond The mathematical theory of incompressible fluids, Ladyzhenskaya’s favorite topic, still poses challenges for us today. We briefly review the pioneering work of Leray
From playlist Various Lectures
How to write the explicit formula for a geometric sequence given the 10th term and ratio
👉 Learn how to write the explicit formula for a geometric sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. A geometric sequence is a sequence in which each term of the sequence is obtained by multi
From playlist Sequences
Determine if a sequence is geometric or not
👉 Learn how to determine if a sequence is arithmetic, geometric, or neither. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric seque
From playlist Sequences
Determine if a sequence is geometric or not
👉 Learn how to determine if a sequence is arithmetic, geometric, or neither. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric seque
From playlist Sequences
How to determine if a sequence is arithmetic or not
👉 Learn how to determine if a sequence is arithmetic, geometric, or neither. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric seque
From playlist Sequences
How to determine if a sequence is arithmetic or not
👉 Learn how to determine if a sequence is arithmetic, geometric, or neither. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric seque
From playlist Sequences
How to find the common ratio of a geometric sequence
👉 Learn how to determine if a sequence is arithmetic, geometric, or neither. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric seque
From playlist Sequences
Math tutorial for how to find the common difference of a sequence
👉 Learn how to determine if a sequence is arithmetic, geometric, or neither. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric seque
From playlist Sequences
How to determine if an sequence is arithmetic or not
👉 Learn how to determine if a sequence is arithmetic, geometric, or neither. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric seque
From playlist Sequences
Wild Weak Solutions to Equations arising in Hydrodynamics - 2/6 - Vlad Vicol
In this course, we will discuss the use of convex integration to construct wild weak solutions in the context of the Euler and Navier-Stokes equations. In particular, we will outline the resolution of Onsager's conjecture as well as the recent proof of non-uniqueness of weak solutions to t
From playlist Hadamard Lectures 2020 - Vlad Vicol and - Wild Weak Solutions to Equations arising in Hydrodynamics
How to determine if a sequence is arithmetic or geometric
👉 Learn how to determine if a sequence is arithmetic, geometric, or neither. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric seque
From playlist Sequences
Stable Homotopy Seminar, 20: Computations with the Adams Spectral Sequence (Jacob Hegna)
Jacob Hegna walks us through some of the methods which have been used to compute the E_2 page of the Adams spectral sequence for the sphere, a.k.a. Ext_A(F_2, F_2), where A is the Steenrod algebra. The May spectral sequence works by filtering A and first computing Ext over the associated g
From playlist Stable Homotopy Seminar