TY  - BOOK
AU  - McCuan,John
TI  - The Stability of Cylindrical Pendant Drops
T2  - Memoirs of the American Mathematical Society
SN  - 9781470442026
AV  - QC156 .M338 2017 
U1  - 530.4/27 
PY  - 2018///
CY  - Providence
PB  - American Mathematical Society
KW  - Drops
KW  - Spheroidal state
KW  - Fluid mechanics
KW  - Stability
KW  - Liquids
KW  - Electronic books
N1  - Cover -- Title page -- Introduction -- Chapter 1. Normalization, stability condition, and elementary properties -- 1.1. ODEs for Cylindrical Profiles -- 1.2. Elementary Properties -- 1.3. Proofs of Elementary Properties -- Chapter 2. One Parameter Families -- Definition of  ₂ -- 2.1. Continuous families -- 2.2. Enclosed volume/cross-sectional area -- 2.3. Smooth families -- profile arclength -- 2.4. More on enclosed volume -- 2.5. Further properties of drop profiles -- Chapter 3. Stability -- 3.1. Separation of Variables -- 3.2. Decomposition -- 3.3. Secondary variational problems and PDE results -- 3.4. Initial Stability -- 3.5. Geometric interpretation of (H) -- 3.6. Geometric interpretation of (V) -- initial stable families -- 3.7. A surprise -- Chapter 4. Infinitely long drops -- Chapter 5. Zero gravity and soap bubbles -- Chapter 6. Open problems -- Appendix 1: Explicit formulas -- Appendix 2: Sturm-Liouville Theory -- Appendix 3: Elliptic integrals -- Acknowledgement -- Bibliography -- Back Cover
N2  - The author considers the stability of certain liquid drops in a gravity field satisfying a mixed boundary condition. He also considers as special cases portions of cylinders that model either the zero gravity case or soap films with the same kind of boundary behavior
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5291688
ER  -