Theoretical and Practical Perspectives in Geophysical Fluid Dynamics - Afternoon Session
Explore geophysical fluid dynamics through lectures, talks, and tutorials on eddies, waves, turbulence, and climate modeling. Gain insights from theory, models, and observations in this interdisciplinary meeting.
Adaptive Regularization and Linearization for Nonsmooth and Degenerate Problems
Explore advanced mathematical techniques for solving nonsmooth and degenerate problems in flow and transport, focusing on adaptive regularization methods and Newton-based linearization approaches.
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.
The Divergence of a Vector Field: Sources and Sinks
Explore the divergence operator in vector calculus, understanding its role in quantifying local expansion or contraction of vector fields, with examples and applications in fluid dynamics.
Vectorized Integration and the Lorenz Equation
Explore vectorized integration and the Lorenz equation, focusing on chaos, turbulence, and uncertainty in engineering mathematics, with practical MATLAB implementations.
Overview of Engineering Mathematics
Explore engineering mathematics through weather modeling, covering fluid dynamics, disease networks, and systems of equations using MATLAB.
Multiscale Inverse Problem, from Schroedinger to Newton to Boltzmann - IPAM at UCLA
Explore multiscale inverse problems across quantum, classical, and statistical physics, connecting Schroedinger, Newton, and Boltzmann equations to reveal universal mathematical principles in diverse scientific domains.
Promoting Global Stability in Models of Quadratic Nonlinear Dynamic
Explore innovative algorithm for identifying globally stable fluid and plasma flow models, featuring presentation and Q&A on recent research in nonlinear dynamics and vortex shedding.
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.
Shock Formation and Vorticity Creation for Compressible Euler
Exploration of shock formation and vorticity creation in compressible Euler equations, featuring constructive proofs, self-similar variables, and analysis of singularities in multiple dimensions.
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.
Deriving the Heat Equation in 2D and 3D and in N Dimensions with Control Volumes and Vector Calculus
Explore the derivation of the heat equation in multiple dimensions using Gauss's theorem, control volumes, and vector calculus techniques for a comprehensive understanding of heat transfer.
Partial Differential Equations Overview
Explore the mathematical language of physical phenomena with an overview of partial differential equations, covering canonical PDEs, linear superposition, and nonlinear PDEs like Burgers Equation.
Numerical Modeling of the 2014 Oso, Washington, Landslide
Explore numerical simulations of the 2014 Oso landslide, examining factors behind its devastating runout. Learn how initial sediment conditions can dramatically influence landslide behavior and consequences.
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.
Magnetohydrodynamic Turbulence - Weak Solutions and Conserved Quantities
Explore magnetohydrodynamic turbulence, weak solutions, and conserved quantities in ideal systems. Analyze the mathematical structures behind Taylor-Woltjer relaxation theory and Faraday systems.
Flows of Nonsmooth Vector Fields - Lecture 1
Explore the intricacies of non-smooth vector field flows in this advanced mathematics lecture by Camillo De Lellis, delving into complex theoretical concepts and their applications.
Tropical Geometry and Shallow Water Waves
Explore the fascinating intersection of tropical geometry and shallow water waves in this engaging lecture by Harvard mathematician Lauren Kiyomi Williams.
Potential Flow and Method of Images with 3Blue1Brown
Explore 2D incompressible fluid dynamics with Grant Sanderson, covering potential flow, common flow fields, and the method of images for various scenarios like sources near walls and in channels.
Stratification for Markov Chain Monte Carlo
Explore advanced Markov Chain Monte Carlo techniques, focusing on stratification methods for complex systems modeling and statistical inference in various scientific domains.
Seminar in the Analysis and Methods of PDE - Andrea Bertozzi
Explore the physics behind "tears of wine" phenomenon, examining undercompressive shocks in thin films and their role in the formation of wine tears using mathematical modeling and analysis.