Uploaded March 2025 | Updated September 2026, 1 week ago
Solving the transport equation
We solve the transport PDE, which models the density of a fluid as it gets transported to the right. For this we simply use the formula for the solution of a first order constant-coefficient PDE, it's much easier than you might expect at first and it checks out with the applied mathematics modeling scenario that we want.
Transport equation derivation: youtu.be/59Hs-AR_xUY
Solving first-order PDE: youtube.com/watch?v=fY2zgSKTKP4
First-Order PDE playlist: youtube.com/playlist?list=PLJb1qAQIrmmDKby93xRSSa6WodiGx05kk
Subscribe to my channel: youtube.com/drpeyam
Instagram: instagram.com/peyamstagram
Teespring merch: dr-peyam.creator-spring.com/?
Solving the transport equation
We solve the transport PDE, which models the density of a fluid as it gets transported to the right. For this we simply use the formula for the solution of a first order constant-coefficient PDE, it's much easier than you might expect at first and it checks out with the applied mathematics modeling scenario that we want.
Transport equation derivation: youtu.be/59Hs-AR_xUY
Solving first-order PDE: youtube.com/watch?v=fY2zgSKTKP4
First-Order PDE playlist: youtube.com/playlist?list=PLJb1qAQIrmmDKby93xRSSa6WodiGx05kk
Subscribe to my channel: youtube.com/drpeyam
Instagram: instagram.com/peyamstagram
Teespring merch: dr-peyam.creator-spring.com/?
