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Hyperbolic partial differential equations. III /
Hyperbolic Partial Differential Equations III is a refereed journal issue that explores the applications, theory, and/or applied methods related to hyperbolic partial differential equations, or problems arising out of hyperbolic partial differential equations, in any area of research. This journal i...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Pergamon Press,
1986.
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| Colección: | International series in modern applied mathematics and computer science ;
volume 12. Computers & mathematics with applications. Part A ; volume 12A, no. 4/5. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Hyperbolic Partial Differential Equations; Copyright Page ; Table of Contents; ABOUT THIS ISSUE; AUTHOR'S GUIDELINES; CHAPTER 1. A CONSERVATIVE, PIECEWISE-STEADY DIFFERENCE SCHEME FOR TRANSONIC NOZZLE FLOW; 1. INTRODUCTION; 2. ELEMENTARY WAVES; 3. THE SCHEME; 4. WAVE ITEGRATIONS I; 5. WAVE INTEGRATIONS II; 6. ADMISSIBILITY; 7. NUMERICAL RESULTS; REFERENCES; CHAPTER 2. DISCRETIZATION OF IDEAL FLUID DYNAMICS IN THE EULERIAN REPRESENTATION; 1. INTRODUCTION; 2. ONE-DIMENSIONAL LIE ALGEBRAS OVER Z; 3. CLASSIFICATION OF SCALAR HAMILTONIAN OPERATORS OF NEAREST NEIGHBOR TYPE.
- 4. PERIODIC PROBLEM5. ONE-DIMENSIONAL BAROTROPIC AND ADIABATIC FLUIDS; 6. SEMIDIRECT PRODUCTS ASSOCIATED TO ONE-DIMENSIONAL REPRESENTATIONS OF D"; 7. CANONICAL ISOMORPHISMS BETWEEN HAMILTONIAN STRUCTURES Bjn); 8. 2-COCYCLES ON LIE ALGEBRAS Lc; 9. A DISCRETIZATION OF ONE-DIMENSIONAL FLUID DYNAMICS; REFERENCES; CHAPTER 3. LINEARIZED FORM OF IMPLICIT TVD SCHEMES FOR THE MULTIDIMENSIONAL EULER AND NAVIER-STOKES EQUATIONS; 1. INTRODUCTION; 2. EXPLICIT TVD SCHEMES; 3. IMPLICIT TVD SCHEMES; 4. FORMAL EXTENSION OF ALGORITHM FOR TWO-DIMENSIONAL SYSTEM OF HYPERBOLIC CONSERVATION LAWS.
- 5. extension of the implicit scheme by the alternating direction implicit (adi) method6. numerical results for the euler equations; 7. application to the navier-stokes equations; 8. numerical results for the navier-stokes equations; conclusion; references; chapter 4. a riemann problem in gas dynamics with bifurcation; 1. introduction; 2. flow in a duct with constant area; 3. stationary flow in a duct with variable area: stationary waves; 4. flow in a duct with discontinuous area; 5. the basic cases; 6. the solution of the riemann problem; references.
- Chapter 5. scattering properties of wave equations with time-dependent potentials1. introduction; 2. preliminary lemmas; 3. the existence of the scattering operator; 4. application; references; chapter 6. the influence of nonlinear conduction on singularity formation in the intense plane-wave, nonlinear dielectric interaction problem; 1. introduction; 2. the system of evolution equations; 3. a priori bounds on c"" solutions; 4. singularity formation; references; chapter 7. on the stability of the cell-size distribution ii: time-periodic developmental rates; introduction.
- 1. THE CHARACTERISTIC CURVES2. TRANSFORMATION OF THE PROBLEM; 3. EXISTENCE AND UNIQUENESS OF WEAK SOLUTIONS; 4. PROPERTIES OF THE SOLUTION OPERATORS; 5. THE SOLUTION OPERATORS UNDER PERIODICITY; 6. ASYMPTOTIC BEHAVIOUR OF SOLUTIONS; 7. THE TIME-HOMOGENEOUS CASE REVISITED; REFERENCES; APPENDIX: SOME VOCABULARY FROM THE THEORY OF BANACH LATTICES; CHAPTER 8. PERIODIC McKENDRICK EQUATIONS FOR AGE-STRUCTURED POPULATION GROWTH; INTRODUCTION; 2. THE LINEAR THEORY; 3. A NONLINEAR THEOREM; 4. AN EXAMPLE; 5. SUMMARY; REFERENCES; CHAPTER 9. LOGISTIC MODELS OF STRUCTURED POPULATION GROWTH; INTRODUCTION.