A Variational Problem For Nematic Liquid Crystals With Variable Degree Of Orientation PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download A Variational Problem For Nematic Liquid Crystals With Variable Degree Of Orientation PDF full book. Access full book title A Variational Problem For Nematic Liquid Crystals With Variable Degree Of Orientation.
| Author | : Victor J. Mizel |
| Publisher | : |
| Total Pages | : 24 |
| Release | : 1990 |
| Genre | : Calculus of variations |
| ISBN | : |
Download A Variational Problem for Nematic Liquid Crystals with Variable Degree of Orientation Book in PDF, ePub and Kindle
Abstract: "A version of Ericksen's order parameter theory of liquid crystals is studied in the case of a cylindrical container with anchoring on the curved surface only. The solutions are determined rather explicitly and the equilibrium orientation field is shown to vary between that of the Frank solution (possessing an axial disclination) and that of the disclination-free Cladis-Kleman solution as a scalar parameter in the free energy varies from 0 to [infinity]."
| Author | : Victor J. Mizel |
| Publisher | : |
| Total Pages | : 5 |
| Release | : 1991 |
| Genre | : Calculus of variations |
| ISBN | : |
Download Variational Problems for Liquid Crystals with Variable Degree of Orientation Book in PDF, ePub and Kindle
Abstract: "The analysis of a nematic liquid crystal, filling a bounded cylindrical container, whose free energy is a (simplified) version of Ericksen's model with variable degree of orientation, leads to a variational problem of the form F[s, [phi]] = [integral]10[k (sʹ)2 + s2 (([phi]ʹ)2 + cos2[phi]/r2)]rdr subject to s(1) = s0, [phi](1) = 0, with k a positive constant. It will be shown that a surprisingly explicit solution is obtainable. Moreover an interesting bifurcation takes place at k = 1."
| Author | : L. Ambrosio |
| Publisher | : |
| Total Pages | : 15 |
| Release | : 1990 |
| Genre | : |
| ISBN | : |
Download Existence of Minimal Energy Configuration of Nematic Liquid Crystals with Variable Degree of Orientation ; Regularity of Solutions of a Degenerate Elliptic Variational Problem Book in PDF, ePub and Kindle
| Author | : E.G. Virga |
| Publisher | : Routledge |
| Total Pages | : 284 |
| Release | : 2018-12-12 |
| Genre | : Mathematics |
| ISBN | : 1351405640 |
Download Variational Theories for Liquid Crystals Book in PDF, ePub and Kindle
Essentially there are two variational theories of liquid crystals explained in this book. The theory put forward by Zocher, Oseen and Frank is classical, while that proposed by Ericksen is newer in its mathematical formulation although it has been postulated in the physical literature for the past two decades. The newer theory provides a better explanation of defects in liquid crystals, especially of those concentrated on lines and surfaces, which escape the scope of the classical theory. The book opens the way to the wealth of applications that will follow.
| Author | : Giovanni Barbero |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 385 |
| Release | : 2000-10-27 |
| Genre | : Science |
| ISBN | : 9814365637 |
Download An Elementary Course On The Continuum Theory For Nematic Liquid Crystals Book in PDF, ePub and Kindle
This book was written to enable physicists and engineers to learn, within a single course, some topics in variational calculus, theory of elasticity, molecular models, and surface properties of nematic materials. It prepares graduate students for studies that require a simple knowledge in the physics of nematic liquid crystals.With this consideration in mind, the authors have formulated the problems concerning the continuum theory of liquid crystals into a precise form. In working out the solutions, they have analyzed, systematically and naturally, the techniques and methods of variational calculus. Special attention is dedicated to the analysis of well-posed and ill-posed variational problems. The presence of sub-surface discontinuity in the nematic orientation is analyzed using different techniques. A full chapter is devoted to this aspect of the theory of elasticity of nematic media.
| Author | : Luigi Ambrosio |
| Publisher | : |
| Total Pages | : 20 |
| Release | : 1989 |
| Genre | : |
| ISBN | : |
Download A Boundary-value Problem for Nematic Liquid Crystal with Variable Degree of Orientation Book in PDF, ePub and Kindle
| Author | : Dmitry Pugachevsky |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1994 |
| Genre | : |
| ISBN | : |
Download A Stochastic Control Problem for Nematic Liquid Crystals with Variable Degree of Orientation Book in PDF, ePub and Kindle
| Author | : Zdzisław Naniewicz |
| Publisher | : |
| Total Pages | : 25 |
| Release | : 1997 |
| Genre | : |
| ISBN | : |
Download Variational Theory for Liquid Crystals with Variable Degree of Orientation Book in PDF, ePub and Kindle
| Author | : University of Minnesota. Institute for Mathematics and Its Applications |
| Publisher | : |
| Total Pages | : 7 |
| Release | : 1991 |
| Genre | : |
| ISBN | : |
Download Axis-symmetric Boundary-value Problems for Nematic Liquid Crystals with Variable Degree of Orientation Book in PDF, ePub and Kindle
| Author | : E. G. Virga |
| Publisher | : |
| Total Pages | : 18 |
| Release | : 1990 |
| Genre | : |
| ISBN | : |
Download Defects in Nematic Liquid Crystals with Variable Degree of Orientation Book in PDF, ePub and Kindle
