Wavelet-inspired Nash's Iteration - Lecture 3
Dive into wavelet-inspired Nash's iteration techniques for analyzing Euler and Navier-Stokes equations in fluid mechanics, exploring advanced mathematical concepts and recent breakthroughs in the field.
Regularization by Noise - Lecture 3
Dive into regularization by noise in fluid dynamics, exploring advanced mathematical concepts and their applications to Euler and Navier-Stokes equations in this in-depth lecture.
Dissipation and Mixing: From Turbulent Flows to Weak Solutions - Lecture 2
Delve into advanced concepts of fluid dynamics, exploring dissipation and mixing in turbulent flows and weak solutions. Gain insights from László Székelyhidi's expert analysis in this comprehensive lecture.
Statistical Solutions of Fluids and Their Computation
Explore statistical solutions of fluid dynamics and computational methods. Gain insights into Euler and Navier-Stokes equations, Onsager's conjecture, and recent breakthroughs in fluid mechanics research.
Regularization by Noise - Lecture 1
Dive into regularization by noise in fluid dynamics, exploring advanced mathematical concepts and their applications to Euler and Navier-Stokes equations in this comprehensive lecture.
Fluid Dynamics
Comprehensive exploration of fluid dynamics principles, covering equations, flow types, and practical applications. Includes interactive simulations for enhanced understanding.
Non-Uniqueness of Leray Solutions of the Forced Navier-Stokes Equations - Dallas Albritton
Explore non-uniqueness in Navier-Stokes equations, focusing on Leray solutions, unstable manifolds, and vortex dynamics in fluid mechanics.
Fluid Equations - Regularity and Kolmogorov’s Turbulence Theory
Explore fluid dynamics, Navier-Stokes equations, and Kolmogorov's turbulence theory. Gain insights into regularity results and mathematical confirmations of phenomenological theories.
Quelques Problèmes Mathématiques Issus de l'Océanographie
Découvrez les défis mathématiques fascinants de l'océanographie avec une experte renommée, explorant les liens entre sciences fondamentales et enjeux climatiques.
Turbulência
Explore os fundamentos da turbulência e suas aplicações na matemática e física com o pesquisador Alexei Maylybaev do IMPA.
Density-Dependent Navier-Stokes Equations with Large Flux
Explore density-dependent Navier-Stokes equations with large flux, examining mathematical applications and advanced fluid dynamics concepts.
Data-Driven Discontinuous Galerkin FEM via Reduced Order Modeling and Domain Decomposition
Explore scalable component reduced order modeling for efficient large-scale simulations, combining Discontinuous Galerkin Domain Decomposition and proper orthogonal decomposition to accelerate scientific technology transition.
The Million Dollar Equations - With Tom Crawford
Explore four of the seven unsolved million-dollar math problems, including the Riemann hypothesis and P vs NP, with Oxford mathematician Tom Crawford in this engaging lecture on complex mathematical concepts.
Comprehensive Fluids, Entropy Hierarchies, and Flocking - SIAM PDE Seminar
Exploring compressible fluid equations, entropy hierarchies, and flocking dynamics. Covers Navier-Stokes models, nonlocal collective dynamics, and mathematical proofs for fluid behavior and emergent organization.
Navier-Stokes Equations
Explore the fascinating Navier-Stokes equations with Oxford mathematician Tom Crawford, discussing their significance and the $1 million Millennium Prize challenge they present.
Auxiliary Functionals - A Path to Solving the Problem of Turbulence
Explore innovative approaches to solving turbulence in fluid dynamics using auxiliary functionals and sum-of-squares polynomial optimization, with applications to Kuramoto-Sivashinsky and Navier-Stokes equations.
Mathematical Modeling of Glacier Flow - Deriving the Nonlinear Wave Equation
Explore glacier flow modeling through nonlinear wave equations, featuring real footage from Svalbard. Learn mass conservation, Navier-Stokes equations, and Glen's Flow Law in this engaging mathematical journey.
The Formulation of the Navier-Stokes Equations on Riemannian Manifolds
Explore advanced formulations of Navier-Stokes equations on Riemannian manifolds, focusing on Ebin and Marsden's approach and recent developments in this complex field of fluid dynamics.
Turbulence Closure Models - Reynolds Averaged Navier Stokes and Large Eddy Simulations
Explore turbulence closure models, focusing on RANS and LES approaches for approximating complex fluid dynamics. Learn key concepts and applications in scientific computing.
Statistical Mechanics of Developed Turbulence - Lecture 1
Explore turbulence through statistical mechanics, covering energy cascades, Kolmogorov's hypotheses, and connections to phase transitions. Learn about predator-prey dynamics in pipe flow and directed percolation in laminar-turbulent transitions.
Connections Between Microscopic and Macroscopic Laws by Abhishek Dhar
Explore connections between microscopic and macroscopic laws in physics, focusing on heat conduction, Fourier's law, and fluctuating hydrodynamics in one-dimensional systems.