# How to solve a partial derivative equation (Navier-Stokes)

**URL:** https://discourse.julialang.org/t/how-to-solve-a-partial-derivative-equation-navier-stokes/92605
**Category:** Modelling & Simulations
**Created:** [January 6, 2023, 2:50pm UTC](https://discourse.julialang.org/t/how-to-solve-a-partial-derivative-equation-navier-stokes/92605 "2023-01-06T14:50:45Z")
**Posts on this page:** 4
**Page:** 1

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### Author: ![Islam\_ZERROUGUI](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/islam_zerrougui/32/45652_2.png) [@Islam\_ZERROUGUI](https://discourse.julialang.org/u/Islam_ZERROUGUI)
#### Post date: [January 6, 2023, 2:50pm UTC](https://discourse.julialang.org/t/how-to-solve-a-partial-derivative-equation-navier-stokes/92605/1 "2023-01-06T14:50:45Z")

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Hi everyone,

I ended up with the following equation, and I want to solve it for the pressure (P) and saturation (s). The two variables are in two dimensions rectangular form with a length of 1 cm and a width of 2cm.

 ![Présentation1](https://global.discourse-cdn.com/julialang/original/3X/c/9/c90b08fb2584ab0859499a2a696ab6a60dd19f6a.png)

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### Author: ![ChrisRackauckas](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/chrisrackauckas/32/77_2.png) [@ChrisRackauckas](https://discourse.julialang.org/u/ChrisRackauckas)
#### Post date: [January 6, 2023, 2:51pm UTC](https://discourse.julialang.org/t/how-to-solve-a-partial-derivative-equation-navier-stokes/92605/2 "2023-01-06T14:51:33Z")

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The simplest might be to use NeuralPDE.jl

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### Author: ![Islam\_ZERROUGUI](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/islam_zerrougui/32/45652_2.png) [@Islam\_ZERROUGUI](https://discourse.julialang.org/u/Islam_ZERROUGUI)
#### Post date: [January 6, 2023, 2:58pm UTC](https://discourse.julialang.org/t/how-to-solve-a-partial-derivative-equation-navier-stokes/92605/3 "2023-01-06T14:58:13Z")

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Hi  
I am so new to julia, so please if you have some examples I can use I will be so thankful.  
Thanks in advance

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### Author: ![xtalax](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/xtalax/32/35293_2.png) [@xtalax](https://discourse.julialang.org/u/xtalax)
#### Post date: [January 6, 2023, 2:59pm UTC](https://discourse.julialang.org/t/how-to-solve-a-partial-derivative-equation-navier-stokes/92605/4 "2023-01-06T14:59:57Z")

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Try the [tutorial](https://docs.sciml.ai/NeuralPDE/dev/tutorials/pdesystem/) in the docs 🙂
