Author: Daniel J. Weser
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
We study the qualitative and quantitative properties of sets with boundaries of almost-constant mean curvature. For open subsets of Rn+1, we will prove L2- quantitative stability estimates in the presence of bubbling. In the case of droplets adhering to a substrate, we will classify their shapes in the small mass regime and prove a compactness theorem for droplets with boundaries of almost-constant mean curvature and almost-constant angle of contact with the substrate
Contributions to the Theory of Almost-constant Mean Curvature Hypersurfaces
Author: Daniel J. Weser
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
We study the qualitative and quantitative properties of sets with boundaries of almost-constant mean curvature. For open subsets of Rn+1, we will prove L2- quantitative stability estimates in the presence of bubbling. In the case of droplets adhering to a substrate, we will classify their shapes in the small mass regime and prove a compactness theorem for droplets with boundaries of almost-constant mean curvature and almost-constant angle of contact with the substrate
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
We study the qualitative and quantitative properties of sets with boundaries of almost-constant mean curvature. For open subsets of Rn+1, we will prove L2- quantitative stability estimates in the presence of bubbling. In the case of droplets adhering to a substrate, we will classify their shapes in the small mass regime and prove a compactness theorem for droplets with boundaries of almost-constant mean curvature and almost-constant angle of contact with the substrate
Comprehensive Dissertation Index, 1861-1972: Mathematics and statistics
Author: Xerox University Microfilms
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 856
Book Description
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 856
Book Description
Comprehensive Dissertation Index
Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 858
Book Description
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 858
Book Description
Dissertation Abstracts International
Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 946
Book Description
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 946
Book Description
Arnold's Problems
Author: Vladimir I. Arnold
Publisher: Springer Science & Business Media
ISBN: 9783540206149
Category : Mathematics
Languages : en
Pages : 664
Book Description
Vladimir Arnold is one of the most outstanding mathematicians of our time Many of these problems are at the front line of current research
Publisher: Springer Science & Business Media
ISBN: 9783540206149
Category : Mathematics
Languages : en
Pages : 664
Book Description
Vladimir Arnold is one of the most outstanding mathematicians of our time Many of these problems are at the front line of current research
Global Differential Geometry
Author: Christian Bär
Publisher: Springer Science & Business Media
ISBN: 3642228429
Category : Mathematics
Languages : en
Pages : 520
Book Description
This volume contains a collection of well-written surveys provided by experts in Global Differential Geometry to give an overview over recent developments in Riemannian Geometry, Geometric Analysis and Symplectic Geometry. The papers are written for graduate students and researchers with a general interest in geometry, who want to get acquainted with the current trends in these central fields of modern mathematics.
Publisher: Springer Science & Business Media
ISBN: 3642228429
Category : Mathematics
Languages : en
Pages : 520
Book Description
This volume contains a collection of well-written surveys provided by experts in Global Differential Geometry to give an overview over recent developments in Riemannian Geometry, Geometric Analysis and Symplectic Geometry. The papers are written for graduate students and researchers with a general interest in geometry, who want to get acquainted with the current trends in these central fields of modern mathematics.
Mathematical Reviews
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 994
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 994
Book Description
Handbook of Geometric Analysis
Author: Lizhen Ji
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 704
Book Description
"Geometric Analysis combines differential equations with differential geometry. An important aspect of geometric analysis is to approach geometric problems by studying differential equations. Besides some known linear differential operators such as the Laplace operator, many differential equations arising from differential geometry are nonlinear. A particularly important example is the Monge-Amperè equation. Applications to geometric problems have also motivated new methods and techniques in differential equations. The field of geometric analysis is broad and has had many striking applications. This handbook of geometric analysis--the first of the two to be published in the ALM series--presents introductions and survey papers treating important topics in geometric analysis, with their applications to related fields. It can be used as a reference by graduate students and by researchers in related areas."--Back cover.
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 704
Book Description
"Geometric Analysis combines differential equations with differential geometry. An important aspect of geometric analysis is to approach geometric problems by studying differential equations. Besides some known linear differential operators such as the Laplace operator, many differential equations arising from differential geometry are nonlinear. A particularly important example is the Monge-Amperè equation. Applications to geometric problems have also motivated new methods and techniques in differential equations. The field of geometric analysis is broad and has had many striking applications. This handbook of geometric analysis--the first of the two to be published in the ALM series--presents introductions and survey papers treating important topics in geometric analysis, with their applications to related fields. It can be used as a reference by graduate students and by researchers in related areas."--Back cover.
Lecture Notes on Mean Curvature Flow
Author: Carlo Mantegazza
Publisher: Springer Science & Business Media
ISBN: 3034801459
Category : Mathematics
Languages : en
Pages : 175
Book Description
This book is an introduction to the subject of mean curvature flow of hypersurfaces with special emphasis on the analysis of singularities. This flow occurs in the description of the evolution of numerous physical models where the energy is given by the area of the interfaces. These notes provide a detailed discussion of the classical parametric approach (mainly developed by R. Hamilton and G. Huisken). They are well suited for a course at PhD/PostDoc level and can be useful for any researcher interested in a solid introduction to the technical issues of the field. All the proofs are carefully written, often simplified, and contain several comments. Moreover, the author revisited and organized a large amount of material scattered around in literature in the last 25 years.
Publisher: Springer Science & Business Media
ISBN: 3034801459
Category : Mathematics
Languages : en
Pages : 175
Book Description
This book is an introduction to the subject of mean curvature flow of hypersurfaces with special emphasis on the analysis of singularities. This flow occurs in the description of the evolution of numerous physical models where the energy is given by the area of the interfaces. These notes provide a detailed discussion of the classical parametric approach (mainly developed by R. Hamilton and G. Huisken). They are well suited for a course at PhD/PostDoc level and can be useful for any researcher interested in a solid introduction to the technical issues of the field. All the proofs are carefully written, often simplified, and contain several comments. Moreover, the author revisited and organized a large amount of material scattered around in literature in the last 25 years.
Comparison Geometry
Author: Karsten Grove
Publisher: Cambridge University Press
ISBN: 9780521592222
Category : Mathematics
Languages : en
Pages : 280
Book Description
This is an up to date work on a branch of Riemannian geometry called Comparison Geometry.
Publisher: Cambridge University Press
ISBN: 9780521592222
Category : Mathematics
Languages : en
Pages : 280
Book Description
This is an up to date work on a branch of Riemannian geometry called Comparison Geometry.