# Navier–Stokes equations, the algebraic aspect

@article{Zharinov2021NavierStokesET, title={Navier–Stokes equations, the algebraic aspect}, author={Victor V. Zharinov}, journal={Theoretical and Mathematical Physics}, year={2021}, volume={209}, pages={1657 - 1672} }

We present an analysis of the Navier–Stokes equations in the framework of an algebraic approach to systems of partial differential equations (the formal theory of differential equations).

## References

SHOWING 1-10 OF 13 REFERENCES

### Conservation laws, differential identities, and constraints of partial differential equations

- Mathematics
- 2015

We consider specific cohomological properties such as low-dimensional conservation laws and differential identities of systems of partial differential equations (PDEs). We show that such properties…

### The flux problem for the Navier–Stokes equations

- Mathematics
- 2014

This is a survey of results on the Leray problem (1933) for the Navier– Stokes equations of an incompressible fluid in a domain with multiple boundary components. Imposed on the boundary of the…

### Partial Differential Equations in Fluid Mechanics

- Mathematics
- 2018

This course is an introduction to the mathematical theory of fluid mechanics. Instructor: Dong Li, MATHX 1205 dli@math.ubc.ca 604-827-3039 Class hours: Mon Wed Fri 10:00–11:00 Math Annex 1102…

### The Navier ∼ Stokes Problem in the 21st Century

- Mathematics
- 2016

Presentation of the Clay Millennium Prizes Regularity of the three-dimensional fluid flows: a mathematical challenge for the 21st century The Clay Millennium Prizes The Clay Millennium Prize for the…

### Involution - The Formal Theory of Differential Equations and its Applications in Computer Algebra

- MathematicsAlgorithms and computation in mathematics
- 2010

The book provides a self-contained account of the formal theory of general, i.e. also under- and overdetermined, systems of differential equations which in its central notion of involution combines…

### Conservation laws

- MathematicsNature
- 1987

When describing fluids, we usually examine a small piece of fluid, called a fluid packet. There are, however, two ways to represent a packet. In the Lagrangian description, the fluid properties (like…

### Fluid Mechanics

- PhysicsNature
- 1980

Ludwig Krinner (Dated: November 5th 2012) Abstract This is a script made with the help of Landau Lifshitz, Book VI [1] on fluid mechanics, that gives a short introduction to basic fluid mechanics.…

### Applications of lie groups to differential equations

- Mathematics
- 1986

1 Introduction to Lie Groups.- 1.1. Manifolds.- Change of Coordinates.- Maps Between Manifolds.- The Maximal Rank Condition.- Submanifolds.- Regular Submanifolds.- Implicit Submanifolds.- Curves and…