Introduction to Electromagnetism
This course introduces students to handling electromagnetic theory using vector calculus. This enables students to handle problems that are more complicated than they are used to from their school days.
Computational Fluid Dynamics
This course provides an introduction to Computational Fluid Dynamics (CFD) with an emphasis on the fundamental principles that govern the implementation of CFD in practical applications.
Electromagnetic Theory
Comprehensive exploration of electromagnetic theory, covering fields, potentials, Maxwell's equations, waves, and applications in waveguides and radiation. Ideal for advanced physics students.
Computational Fluid Dynamics
Comprehensive exploration of computational fluid dynamics, covering mathematical foundations, discretization methods, and numerical techniques for solving fluid flow problems.
Transform Calculus and Its Applications in Differential Equations
Comprehensive exploration of integral transforms, focusing on Laplace and Fourier transforms, their properties, and applications in solving differential equations and boundary value problems.
The Dynamics of Computation and the Computational Power of Dynamics
Explore the intersection of computation and dynamics, examining computational models, physical systems, and mathematical concepts to understand the nature of computation and its manifestation in various forms.
Serrin's Overdetermined Problem in Rough Domains
Explore Serrin's overdetermined theorem extension to rough domains, including Lipschitz and finite perimeter sets, with insights on slit discontinuities and density bounds.
Dimension-Free Sobolev-Type Embeddings in the Gauss Space
Explore dimension-free Sobolev-type embeddings in Gauss space, extending Gross' logarithmic Sobolev inequality and examining Orlicz spaces, higher-order derivatives, and Gaussian isoperimetric inequality.
A Short but Up-to-Date Introduction to Partially Parabolic or Dissipative Systems - Lecture 3
Delve into partially parabolic or dissipative systems in fluid mechanics. Explore recent developments, mathematical techniques, and applications in this advanced lecture on fluid flow equations.
Regularization by Noise - Lecture 2
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.
Wavelet-Inspired Nash's Iteration - Lecture 2
Dive into wavelet-inspired Nash's iteration techniques for fluid dynamics equations, exploring advanced mathematical concepts in the context of Euler and Navier-Stokes equations.
Wavelet-Inspired Nash's Iteration - Lecture 1
Dive into wavelet-inspired Nash's iteration in fluid dynamics, exploring advanced mathematical techniques for analyzing Euler and Navier-Stokes equations in this comprehensive lecture.
On the Flow Map and the Partial Differential Equations Associated to a Non-Smooth Vector Field
Dive into advanced fluid mechanics, exploring Onsager's conjecture, weak solutions of Euler and Navier-Stokes equations, and stochastic fluid flow analysis in this theoretical physics lecture.
A Short but Up-to-Date Introduction to Partially Parabolic Systems - Lecture 4
Delve into advanced concepts of partially parabolic equations in fluid dynamics, exploring recent developments and their applications in statistical hydrodynamics and Euler equations.
Yudovich Theory for Rough Path Perturbations of Euler's Equation - Lecture 2
Delve into Yudovich Theory for rough path perturbations of Euler's equation in this advanced lecture by Torstein Nilssen, exploring mathematical aspects of fluid flow equations and recent developments in the field.
Wavelet-inspired Nash's Iteration - Lecture 2
Dive into wavelet-inspired Nash's Iteration in fluid dynamics, exploring advanced mathematical techniques for analyzing Euler and Navier-Stokes equations in this comprehensive lecture.
On the Long-time Behavior of Open Fluid Systems
Explore long-term behavior of open fluid systems in this advanced lecture on deterministic and stochastic analysis of Euler and Navier-Stokes equations by Eduard Feireisl.
A Short but Up-to-Date Introduction to Partially Parabolic or Dissipative Systems - Lecture 1
Dive into the mathematical foundations of fluid dynamics, exploring Euler and Navier-Stokes equations, Onsager's conjecture, and recent breakthroughs in the field of hydrodynamics.
Regularization by Noise - Lecture 5
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.
Non-unique Ergodicity for 3D Navier-Stokes and Euler Equations
Delve into non-unique ergodicity for 3D Navier-Stokes and Euler equations, exploring advanced concepts in fluid mechanics and statistical hydrodynamics with expert Rongchan Zhu.
Wavelet-inspired Nash's Iteration - Lecture 1
Dive into wavelet-inspired Nash's Iteration in fluid mechanics, exploring groundbreaking techniques for analyzing Euler and Navier-Stokes equations in this advanced theoretical physics lecture.