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Global Regularity and Uniqueness of Solutions in a Surface Growth Model Using Rigorous a-Posteriori Methods.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Nolde, Christian
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin : Logos Verlag Berlin, 2017.
Colección:Augsburger Schriften Zur Mathematik, Physik und Informatik Ser.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.