Summary
Summary classification-linear-nonlinear.
- Module
- Accounting and Finance
- Institution
- Accounting And Finance
classification-linear-nonlinear.
[Show more]
Seller
Follow
Content preview
Module 2Mathematical Classification
of Partial differential
equations
∂ρ ∂ρu ∂ρv ∂ρw
+ + + =0
∂t ∂x ∂y ∂z "
∂ρu ∂ρu2 ∂ρuv ∂ρuw
#
∂p ∂τxx ∂τyx ∂τzx
+ + + =− + + +
∂t ∂x ∂y ∂z ∂x " ∂x ∂y ∂z #
∂ρv ∂ρuv ∂ρv 2 ∂ρvw ∂p ∂τxy ∂τyy ∂τzy
+ + + =− + + +
∂t ∂x ∂y ∂z ∂x " ∂x ∂y ∂z #
2
∂ρw ∂ρuw ∂ρvw ∂ρw ∂p ∂τxz ∂τyz ∂τzz
+ + + =− + + +
∂t ∂x ∂y ∂z ∂x ∂x ∂y ∂z
Navier stokes equations which govern the flow of fluids are par-
tial differential equations. A differential equation involving partial
derivatives of a dependent variable(one or more) with more than
one independent variable is called a partial differential equation
Order of a partial differential equation
The order of the highest derivative term in the equation is called
the order of the PDE
1
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller testbank011. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for £10.49. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
62890 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy revision notes and other study material for 14 years now