The Motion of a Surface by Its Mean Curvature. (MN-20) /

The Motion of a Surface by Its Mean Curvature. (MN-20) / / Kenneth A. Brakke.

Kenneth Brakke studies in general dimensions a dynamic system of surfaces of no inertial mass driven by the force of surface tension and opposed by a frictional force proportional to velocity. He formulates his study in terms of varifold surfaces and uses the methods of geometric measure theory to d...

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Superior document:Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979
VerfasserIn:
Brakke, Kenneth A.,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2015]
©1978
Year of Publication:2015
Language:English
Series:Mathematical Notes ; 20
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Physical Description:1 online resource (258 p.)
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spelling Brakke, Kenneth A., author. aut http://id.loc.gov/vocabulary/relators/aut
The Motion of a Surface by Its Mean Curvature. (MN-20) / Kenneth A. Brakke.
Princeton, NJ : Princeton University Press, [2015]
©1978
1 online resource (258 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Mathematical Notes ; 20
Frontmatter -- Table of Contents -- 1. Introduction -- 2. Preliminaries -- 3. Motion by mean curvature -- 4. Existence of varifolds moving by their mean curvature -- 5. Perpendicularity of mean curvature -- 6. Regularity -- Appendices -- Appendix A: Grain growth in metals -- Appendix B: Curves in R2 -- Appendix C: Curves of constant shape -- Appendix D: Density bounds and rectiflability -- Figure captions -- Figures -- References
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
Kenneth Brakke studies in general dimensions a dynamic system of surfaces of no inertial mass driven by the force of surface tension and opposed by a frictional force proportional to velocity. He formulates his study in terms of varifold surfaces and uses the methods of geometric measure theory to develop a mathematical description of the motion of a surface by its mean curvature. This mathematical description encompasses, among other subtleties, those of changing geometries and instantaneous mass losses.Originally published in 1978.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022)
Curvature.
Geometric measure theory.
Surfaces.
MATHEMATICS / Geometry / General. bisacsh
Affine transformation.
Approximation.
Asymptote.
Barrier function.
Besicovitch covering theorem.
Big O notation.
Bounded set (topological vector space).
Boundedness.
Calculation.
Cauchy-Schwarz inequality.
Characteristic function (probability theory).
Compactness theorem.
Completing the square.
Concave function.
Convex set.
Convolution.
Crystal structure.
Curve.
Derivative.
Diameter.
Differentiable function.
Differentiable manifold.
Differential geometry.
Dimension.
Domain of a function.
Dyadic rational.
Equivalence relation.
Estimation.
Euclidean space.
Existential quantification.
Exterior (topology).
First variation.
Gaussian curvature.
Geometry.
Grain boundary.
Graph of a function.
Grassmannian.
Harmonic function.
Hausdorff measure.
Heat equation.
Heat kernel.
Heat transfer.
Homotopy.
Hypersurface.
Hölder's inequality.
Infimum and supremum.
Initial condition.
Lebesgue measure.
Lebesgue point.
Linear space (geometry).
Lipschitz continuity.
Mean curvature.
Melting point.
Microstructure.
Monotonic function.
Natural number.
Nonparametric statistics.
Order of integration (calculus).
Order of integration.
Order of magnitude.
Parabolic partial differential equation.
Paraboloid.
Partial differential equation.
Permutation.
Perpendicular.
Pointwise.
Probability.
Quantity.
Quotient space (topology).
Radon measure.
Regularity theorem.
Retract.
Rewriting.
Riemannian manifold.
Right angle.
Second derivative.
Sectional curvature.
Semi-continuity.
Smoothness.
Subsequence.
Subset.
Support (mathematics).
Tangent space.
Taylor's theorem.
Theorem.
Theory.
Topology.
Total curvature.
Translational symmetry.
Uniform boundedness.
Unit circle.
Unit vector.
Upper and lower bounds.
Variable (mathematics).
Varifold.
Vector field.
Weight function.
Without loss of generality.
Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979 9783110426847
Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package Science 9783110413595
Title is part of eBook package: De Gruyter Princeton Mathematical Notes eBook-Package 1970-2016 9783110494921 ZDB-23-PMN
Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2014-2015 9783110665925
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496
print 9780691611518
https://doi.org/10.1515/9781400867431
https://www.degruyter.com/isbn/9781400867431
Cover https://www.degruyter.com/document/cover/isbn/9781400867431/original
language English
format eBook
author Brakke, Kenneth A.,
Brakke, Kenneth A.,
spellingShingle Brakke, Kenneth A.,
Brakke, Kenneth A.,
The Motion of a Surface by Its Mean Curvature. (MN-20) /
Mathematical Notes ;
Frontmatter --
Table of Contents --
1. Introduction --
2. Preliminaries --
3. Motion by mean curvature --
4. Existence of varifolds moving by their mean curvature --
5. Perpendicularity of mean curvature --
6. Regularity --
Appendices --
Appendix A: Grain growth in metals --
Appendix B: Curves in R2 --
Appendix C: Curves of constant shape --
Appendix D: Density bounds and rectiflability --
Figure captions --
Figures --
References
author_facet Brakke, Kenneth A.,
Brakke, Kenneth A.,
author_variant k a b ka kab
k a b ka kab
author_role VerfasserIn
VerfasserIn
author_sort Brakke, Kenneth A.,
title The Motion of a Surface by Its Mean Curvature. (MN-20) /
title_full The Motion of a Surface by Its Mean Curvature. (MN-20) / Kenneth A. Brakke.
title_fullStr The Motion of a Surface by Its Mean Curvature. (MN-20) / Kenneth A. Brakke.
title_full_unstemmed The Motion of a Surface by Its Mean Curvature. (MN-20) / Kenneth A. Brakke.
title_auth The Motion of a Surface by Its Mean Curvature. (MN-20) /
title_alt Frontmatter --
Table of Contents --
1. Introduction --
2. Preliminaries --
3. Motion by mean curvature --
4. Existence of varifolds moving by their mean curvature --
5. Perpendicularity of mean curvature --
6. Regularity --
Appendices --
Appendix A: Grain growth in metals --
Appendix B: Curves in R2 --
Appendix C: Curves of constant shape --
Appendix D: Density bounds and rectiflability --
Figure captions --
Figures --
References
title_new The Motion of a Surface by Its Mean Curvature. (MN-20) /
title_sort the motion of a surface by its mean curvature. (mn-20) /
series Mathematical Notes ;
series2 Mathematical Notes ;
publisher Princeton University Press,
publishDate 2015
physical 1 online resource (258 p.)
Issued also in print.
contents Frontmatter --
Table of Contents --
1. Introduction --
2. Preliminaries --
3. Motion by mean curvature --
4. Existence of varifolds moving by their mean curvature --
5. Perpendicularity of mean curvature --
6. Regularity --
Appendices --
Appendix A: Grain growth in metals --
Appendix B: Curves in R2 --
Appendix C: Curves of constant shape --
Appendix D: Density bounds and rectiflability --
Figure captions --
Figures --
References
isbn 9781400867431
9783110426847
9783110413595
9783110494921
9783110665925
9783110442496
9780691611518
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA312
callnumber-sort QA 3312
url https://doi.org/10.1515/9781400867431
https://www.degruyter.com/isbn/9781400867431
https://www.degruyter.com/document/cover/isbn/9781400867431/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 516 - Geometry
dewey-full 516/.1
dewey-sort 3516 11
dewey-raw 516/.1
dewey-search 516/.1
doi_str_mv 10.1515/9781400867431
oclc_num 979759270
work_keys_str_mv AT brakkekennetha themotionofasurfacebyitsmeancurvaturemn20
AT brakkekennetha motionofasurfacebyitsmeancurvaturemn20
status_str n
ids_txt_mv (DE-B1597)454103
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carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979
Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package Science
Title is part of eBook package: De Gruyter Princeton Mathematical Notes eBook-Package 1970-2016
Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2014-2015
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999
is_hierarchy_title The Motion of a Surface by Its Mean Curvature. (MN-20) /
container_title Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979
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