Description

Book Synopsis

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



Table of Contents
*Frontmatter, pg. i*Table of Contents, pg. iii*1. Introduction, pg. 1*2. Preliminaries, pg. 6*3. Motion by mean curvature, pg. 18*4. Existence of varifolds moving by their mean curvature, pg. 33*5. Perpendicularity of mean curvature, pg. 121*6. Regularity, pg. 161*Appendix A: Grain growth in metals, pg. 224*Appendix B: Curves in R2, pg. 229*Appendix C: Curves of constant shape, pg. 235*Appendix D: Density bounds and rectiflability, pg. 238*Figure captions, pg. 240*Figures, pg. 241*References, pg. 251

The Motion of a Surface by Its Mean Curvature

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    A Paperback by Kenneth A. Brakke

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      View other formats and editions of The Motion of a Surface by Its Mean Curvature by Kenneth A. Brakke

      Publisher: Princeton University Press
      Publication Date: Publication Date: 2/16/2015 12:00:00 AM
      ISBN13: 9780691611518, 978-0691611518
      ISBN10: 0691611513

      Description

      Book Synopsis

      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



      Table of Contents
      *Frontmatter, pg. i*Table of Contents, pg. iii*1. Introduction, pg. 1*2. Preliminaries, pg. 6*3. Motion by mean curvature, pg. 18*4. Existence of varifolds moving by their mean curvature, pg. 33*5. Perpendicularity of mean curvature, pg. 121*6. Regularity, pg. 161*Appendix A: Grain growth in metals, pg. 224*Appendix B: Curves in R2, pg. 229*Appendix C: Curves of constant shape, pg. 235*Appendix D: Density bounds and rectiflability, pg. 238*Figure captions, pg. 240*Figures, pg. 241*References, pg. 251

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