Timeline for Solving PDE $u_t+f(u)u_x=0$ using its physical interpretation
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| May 21, 2023 at 9:18 | comment | added | JJacquelin | The solution expressed on implicit form is $$u(x,t)=\varphi\left(x-\int_{\tau=0}^{\tau=t} f\Big(u(x,\tau)\Big)d\tau\right)$$ One cannot expect the explicit form $u(x,t)$ without knowing explicitly the functions $f$ and $\varphi$. | |
| Dec 22, 2022 at 19:51 | comment | added | Kώστας Κούδας | I know how to use characteristics. I have a problem with that (mathoverflow.net/questions/436604/…) problem. So, I want to find another way to find weak solution. | |
| Dec 22, 2022 at 18:51 | comment | added | username | Try method of charcteristics on wikipedia. | |
| Dec 22, 2022 at 18:33 | history | asked | Kώστας Κούδας | CC BY-SA 4.0 |