PDE-General form -The second group Reporter: Chine-Feng Wu Coworker: Wen-Che Lee Yin-Cheng Hsu Advisor：Jeng-Tzong Chen Monday, February 25, 2019Monday, February 25, 2019 Partial Differential Equations

Partial Differential Equations Solve the first-order nonlinear PDE Initial curve Governing equation Initial data Given Monday, February 25, 2019Monday, February 25, 2019 Partial Differential Equations

Determine to p(s) & q(s) or Solution 1 Solution 2 Monday, February 25, 2019Monday, February 25, 2019 Partial Differential Equations

The characteristic line Solution 1 Solution 2 Monday, February 25, 2019Monday, February 25, 2019 Partial Differential Equations

Monge cone & Singular solution Partial Differential Equations Monge cone & Singular solution Monge cone Singular solution This is a singular solution Monday, February 25, 2019Monday, February 25, 2019 Partial Differential Equations

Partial Differential Equations The Monge Cone Monday, February 25, 2019Monday, February 25, 2019 Partial Differential Equations

Partial Differential Equations Solution Solution 1 Solution 2 Monday, February 25, 2019Monday, February 25, 2019 Partial Differential Equations

Partial Differential Equations Solution 1 Monday, February 25, 2019Monday, February 25, 2019 Partial Differential Equations

Partial Differential Equations Solution 1 Monday, February 25, 2019Monday, February 25, 2019 Partial Differential Equations

Partial Differential Equations Solution Solution 1 Solution 2 Monday, February 25, 2019Monday, February 25, 2019 Partial Differential Equations

Partial Differential Equations Solution 2 Monday, February 25, 2019Monday, February 25, 2019 Partial Differential Equations

Partial Differential Equations Solution 2 Monday, February 25, 2019Monday, February 25, 2019 Partial Differential Equations

~Thanks for your kind attentions~ Monday, February 25, 2019Monday, February 25, 2019 Partial Differential Equations