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Global Regularity and Uniqueness of Solutions in a Surface Growth Model Using Rigorous a-Posteriori Methods.
| Call Number: | Libro Electrónico |
|---|---|
| Main Author: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Berlin :
Logos Verlag Berlin,
2017.
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| Series: | Augsburger Schriften Zur Mathematik, Physik und Informatik Ser.
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| Subjects: | |
| Online Access: | Texto completo |
Table of Contents:
- Intro; 1 Introduction; 1.1 Outline; 1.2 General Setting and Notation; 1.3 Acknowledgments; 2 A-priori Analysis; 2.1 Energy Estimate; 2.2 Time and Smallness Conditions; 2.3 ODE Estimates; 3 Verification Methods; 3.1 First Method; 3.2 Second Method; 3.3 Third Method; 3.4 Numerical Comparison; 3.5 Conclusion; 4 Eigenvalue Estimate; 4.1 Setting and Theorem; 4.2 Proof of the Theorem; 4.3 Comparison with the Previous Estimate; 4.4 Application to the Surface Growth Equation; 5 Numerical Preparations; 5.1 Norm of the Residual; 5.2 Rigorous Computable Bound for Method 3.
- 5.3 Rigorous Computable Bound including the Eigenvalue Estimate6 Simulations; A Basic Tools; B Numerical Implementation.