Introduction to the Potential Theory for the Time-Dependent Stokes System
Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics;
- Publisher's listprice GBP 165.00
-
74 497 Ft (70 950 Ft + 5% VAT)
The price is estimated because at the time of ordering we do not know what conversion rates will apply to HUF / product currency when the book arrives. In case HUF is weaker, the price increases slightly, in case HUF is stronger, the price goes lower slightly.
- Discount 20% (cc. 14 899 Ft off)
- Discounted price 59 598 Ft (56 760 Ft + 5% VAT)
- Discount is valid until: 30 June 2026
Subcribe now and take benefit of a favourable price.
Subscribe
67 048 Ft
Availability
Not yet published.
Why don't you give exact delivery time?
Delivery time is estimated on our previous experiences. We give estimations only, because we order from outside Hungary, and the delivery time mainly depends on how quickly the publisher supplies the book. Faster or slower deliveries both happen, but we do our best to supply as quickly as possible.
Product details:
- Edition number 1
- Publisher Chapman and Hall
- Date of Publication 13 July 2026
- ISBN 9780367408602
- Binding Hardback
- No. of pages180 pages
- Size 234x156 mm
- Language English 700
Categories
Short description:
This book deals with a careful presentation of the principles on which the physical problems are based and the mathematical treatment of the problems. The fundamental solution is used as in classical potential theory to construct solutions to initial and certain boundary value problems for the linear Stokes equations.
MoreLong description:
Introduction to the Potential Theory for the Time-Dependent Stokes System is made up of two parts. The first part deals with a careful presentation of the principles on which the physical problems are based. The fluids under consideration are assumed to be incompressible and the equations so obtained are nonlinear. The linear problems are obtained by introducing characteristic parameters and so determining which terms can be neglected. The authors feel it is important that when a mathematical problem is solved, one knows precisely which problem has actually been solved. The second part deals with the mathematical treatment of the problems derived in the first part. These equations are linear and time dependent. The first step is the construction of a fundamental solution for the equations involved. They are analogous to the fundamental solutions for the potential and heat equations commonly found in the mathematical and engineering literature. The fundamental solution is used as in classical potential theory to construct solutions to initial and certain boundary value problems for the linear Stokes equations.
Features
- Careful presentation of the kinematics of fluid dynamics
- Derivation of the basic equations from first principles
- Rigorous treatment of the linearization of the equations leading to Reynolds and Euler numbers
- Derivation of the fundamental solutions for the Stokes and Oseen equations
- Explicit solutions to the Stokes and Oseen equations for initial value problems
- Potential theory for the Stokes system
- Comparison of compressible and incompressible fluids.
More
Table of Contents:
Part 1: Background 1. Kinematics 2. Material Dynamics 3. Density and Stress 4. Recapitulation, Vorticity, Initial and Boundary Conditions 5. Scaling and Linearization Part 2: Stokes and Oseen Systems - Initial Value Problems 6. The Three-Dimensional Fundamental Solutions 7. The Two-Dimensional Fundamental Solutions 8. The Cauchy problem for the time dependent Stokes and Oseen systems 9. The Existence and Uniqueness of Solutions to the Cauchy Problem Part 3: Boundary Value Problems 10. Uniqueness Theory 11. Outline Recalling Classical Potential Theory 12. Boundary Value Problems for the Unsteady Stokes Equations 13. The Half Space Problem for the Dirichlet Problem 14. The Half Space Problem for the Neumann Problem Part 4: Compressible Fluids 15. Compressible Liquids 16. Temperature Dependent, Compressible Fluids
More
