Autore	Lin Fanghua
Pubbl/distr/stampa	Hackensack, NJ, : World Scientific, c2008
Descrizione fisica	1 online resource (280 p.)
Disciplina	514/.74
Altri autori (Persone)	WangChangyou <1967->
Soggetto topico	Harmonic maps Heat equation Riemannian manifolds
Soggetto genere / forma	Electronic books.
ISBN	1-281-93808-4 9786611938086 981-277-953-1
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Contents; 3.2 Weakly harmonic maps in dimension two; 3.3 Stationary harmonic maps in higher dimensions; Preface; Organization of the book; Acknowledgements; 1 Introduction to harmonic maps; 1.1 Dirichlet principle of harmonic maps; 1.2 Intrinsic view of harmonic maps; 1.3 Extrinsic view of harmonic maps; 1.4 A few facts about harmonic maps; 1.5 Bochner identity for harmonic maps; 1.6 Second variational formula of harmonic maps; 2 Regularity of minimizing harmonic maps; 2.1 Minimizing harmonic maps in dimension two; 2.2 Minimizing harmonic maps in higher dimensions 2.3 Federer's dimension reduction principle2.4 Boundary regularity for minimizing harmonic maps; 2.5 Uniqueness of minimizing tangent maps; 2.6 Integrability of Jacobi fields and its applications; 3 Regularity of stationary harmonic maps; 3.1 Weakly harmonic maps into regular balls; 3.4 Stable-stationary harmonic maps into spheres; 4 Blow up analysis of stationary harmonic maps; 4.1 Preliminary analysis; 4.2 Rectifiability of defect measures; 4.3 Strong convergence and interior gradient estimates; 4.4 Boundary gradient estimates; 5 Heat ows to Riemannian manifolds of NPC; 5.1 Motivation 5.2 Existence of short time smooth solutions5.3 Existence of global smooth solutions under RN < 0; 5.4 An extension of Eells-Sampson's theorem; 6 Bubbling analysis in dimension two; 6.1 Minimal immersion of spheres; 6.2 Almost smooth heat ows in dimension two; 6.3 Finite time singularity in dimension two; 6.4 Bubbling phenomena for 2-D heat ows; 6.5 Approximate harmonic maps in dimension two; 7 Partially smooth heat ows; 7.1 Monotonicity formula and a priori estimates; 7.2 Global smooth solutions and weak compactness; 7.3 Finite time singularity in dimensions at least three 7.4 Nonuniqueness of heat flow of harmonic maps7.5 Global weak heat flows into spheres; 7.6 Global weak heat flows into general manifolds; 8 Blow up analysis on heat ows; 8.1 Obstruction to strong convergence; 8.2 Basic estimates; 8.3 Stratification of the concentration set; 8.4 Blow up analysis in dimension two; 8.5 Blow up analysis in dimensions n > 3; 9 Dynamics of defect measures in heat flows; 9.1 Generalized varifolds and rectifiability; 9.2 Generalized varifold flows and Brakke's motion; 9.3 Energy quantization of the defect measure; 9.4 Further remarks; Bibliography; Index
Record Nr.	UNINA-9910454064403321

Autore	Ouhabaz El Maati
Edizione	[Course Book]
Pubbl/distr/stampa	Princeton, N.J., : Princeton University Press, c2005
Descrizione fisica	1 online resource (298 p.)
Disciplina	515/.353
Collana	London mathematical society monograph series
Soggetto topico	Heat equation Heat - Transmission - Measurement
Soggetto genere / forma	Electronic books.
ISBN	1-282-15738-8 9786612157387 1-4008-2648-9
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Frontmatter -- Contents -- Preface -- Notation -- Chapter One. Sesquilinear Forms, Associated Operators, and Semigroups -- Chapter Two. Contractivity Properties -- Chapter Three. Inequalities for Sub-Markovian Semigroups -- Chapter Four. Uniformly Elliptic Operators on Domains -- Chapter Five. Degenerate-Elliptic Operators -- Chapter Six. Gaussian Upper Bounds for Heat Kernels -- Chapter Seven. Gaussian Upper Bounds and Lp-Spectral Theory -- Chapter Eight. A Review of the Kato Square Root Problem -- Bibliography -- Index
Record Nr.	UNINA-9910455366003321

Autore	Ouhabaz, El Maati
Pubbl/distr/stampa	Princeton : Princeton University Press, c2005
Descrizione fisica	xi, 284 p. ; 25 cm
Disciplina	621.4022
Collana	London Mathematical Society monographs. New ser., 0076-0560 ; 31
Soggetto topico	Heat equation Heat - Transmission - Measurement
ISBN	0691120161
Classificazione	AMS 35-02 LC QA377.O93
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Record Nr.	UNISALENTO-991001028239707536

Autore	Al-Khoury Rafid
Pubbl/distr/stampa	Boca Raton : , : CRC Press, , 2012
Descrizione fisica	1 online resource (246 p.)
Disciplina	621.402/5
Collana	Multiphysics modeling
Soggetto topico	Heat exchangers - Thermodynamics Heat - Transmission - Mathematical models Heat equation Ground source heat pump systems
Soggetto genere / forma	Electronic books.
ISBN	1-138-07342-3 0-429-16576-5 1-280-12250-1 9786613526366 1-4398-6286-9 1-4665-1267-9
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Front Cover; About the book series; Editorial board of the book series; Dedication; Contents; Preface; Part I: Preliminaries; 1. Introduction; 2. Heat transfer; 3. Heat transfer in porous media; 4. Heat transfer in borehole heat exchangers; 5. Thermal resistance; Part II: Analytical and semi-analytical modeling; 6. Eigenfunction expansions and Fourier transforms; 7. Laplace transforms; 8. Commonly used analytical models for ground-source heat pumps; 9. Spectral analysis of shallow geothermal systems; 10. Spectral element model for borehole heat exchangers; Part III: Numerical modeling 11. Finite element methods for conduction-convection problems12. Finite element modeling of shallow geothermal systems; References
Record Nr.	UNINA-9910457797903321