This authoritative volume comprises the plenary lectures and articles by many of the field's leading researchers who were brought together for the fourth time at the congress of the International Society for Analysis, its Applications and Computation (ISAAC). A wide spectrum of topics in modern anal
Lecture Notes on Mathematical Theory of the Boltzmann Equation
โ Scribed by Bellomo N. (ed.)
- Publisher
- World Scientific
- Year
- 1995
- Tongue
- English
- Leaves
- 263
- Series
- Series on Advances in Mathematics for Applied Sciences
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
This is a collection of four lectures on some mathematical aspects related to the nonlinear Boltzmann equation. The following topics are dealt with: derivation of kinetic equations, qualitative analysis of the initial value problem, singular perturbation analysis towards the hydrodynamic limit and computational methods towards the solution of problems in fluid dynamics
๐ SIMILAR VOLUMES
This is a collection of four lectures on some mathematical aspects related to the nonlinear Boltzmann equation. The following topics are dealt with: derivation of kinetic equations, qualitative analysis of the initial value problem, singular perturbation analysis towards the hydrodynamic limit and c
This book presents contributions on the following topics: discretization methods in the velocity and space, analysis of the conservation properties, asymptotic convergence to the continuous equation when the number of velocities tends to infinity, and application of discrete models. It consists of t
This work presents contributions on the following topics: discretization methods in the velocity and space, analysis of the conservation properties, asymptotic convergence to the continuous equation when the number of velocities tends to infinity, and application of discrete models. It consists of t
This work presents contributions on the following topics: discretization methods in the velocity and space, analysis of the conservation properties, asymptotic convergence to the continuous equation when the number of velocities tends to infinity, and application of discrete models. It consists of t
3.1 Introduction3.2 Discrete Models with Multiple Collisions; 3.3 Macroscopic Description; 3.4 Boundary Conditions for Discrete Models; 3.5 Conclusion; 3.6 References; Chapter 4. Discretization of the Boltzmann Equation and the Semicontinuous Model; 4.1 Introduction; 4.2 Splitting and Energy Formula