Relevant bibliographies by topics / Crystalline Curvature Flows

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Crystalline Curvature Flows'

Author: Grafiati
Published: 7 December 2024
Last updated: 31 July 2025

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Journal articles on the topic "Crystalline Curvature Flows"

1

Andrews, Ben. "Singularities in crystalline curvature flows." Asian Journal of Mathematics 6, no. 1 (2002): 101–22. http://dx.doi.org/10.4310/ajm.2002.v6.n1.a6.

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2

Chambolle, Antonin, Massimiliano Morini, Matteo Novaga, and Marcello Ponsiglione. "Existence and uniqueness for anisotropic and crystalline mean curvature flows." Journal of the American Mathematical Society 32, no. 3 (2019): 779–824. http://dx.doi.org/10.1090/jams/919.

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3

BELLETTINI, G., та M. NOVAGA. "APPROXIMATION AND COMPARISON FOR NONSMOOTH ANISOTROPIC MOTION BY MEAN CURVATURE IN ℝN". Mathematical Models and Methods in Applied Sciences 10, № 01 (2000): 1–10. http://dx.doi.org/10.1142/s0218202500000021.

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We prove that a reaction-diffusion inclusion provides a sub-optimal approximation for anisotropic motion by mean curvature in the nonsmooth case. This result is valid in any space dimension and with a time-dependent driving force, provided we assume the existence of a regular flow. The crystalline case is included. As a by-product of our analysis, a comparison theorem between regular flows is obtained. This result implies uniqueness of the original flow.
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4

Ohtsuka, Takeshi, and Yen-Hsi Richard Tsai. "A minimizing movements approach for crystalline eikonal-curvature flows of spirals." Interfaces and Free Boundaries, Mathematical Analysis, Computation and Applications, June 5, 2025. https://doi.org/10.4171/ifb/547.

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We propose an algorithm for evolving spiral curves on a planar domain by normal velocities depending on the so-called crystalline curvatures. The algorithm uses a minimizing movements approach and relies on a special level set method for embedding the spirals. We present numerical simulations and comparisons demonstrating the efficacy of the proposed numerical algorithm.
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5

Narumi, Takatsune, Jun Fukada, Satoru Kiryu, Shinji Toga, and Tomiichi Hasegawa. "Flow Induced Unstable Structure of Liquid Crystalline Polymer Solution in L-Shaped Slit Channels." Journal of Fluids Engineering 130, no. 8 (2008). http://dx.doi.org/10.1115/1.2956604.

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An experimental study has been conducted on unstable structures induced in two-dimensional slit flows of liquid crystalline polymer solution. 50wt% aqueous solution of hydroxyl-propylcellulose (HPC) was utilized as a test fluid and its flow behavior in L-shaped slit channels with a cross section of 1mm height and 16mm width was measured optically. The inner corner of the L-shaped channel was rounded off in order to clarify the influence of the radius of curvature on the unstable behavior. A conversing curved channel was also tested. The flow patterns of the HPC solution in the channels were vi
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Dissertations / Theses on the topic "Crystalline Curvature Flows"

1

De, gennaro Daniele. "Flots de courbure cristalline et anisotrope, non linéaire et non local." Electronic Thesis or Diss., Université Paris sciences et lettres, 2024. http://www.theses.fr/2024UPSLD020.

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Cette thèse est consacrée à l'étude de flots géométriques, avec un accent particulier sur le flot de la courbure moyenne. La thèse est divisée en deux parties thématiques. La première partie, Partie I, contient les Chapitres 2, 3 et 4, et concerne des résultats de convergence pour le schéma des mouvements minimisants, qui est une procédure variationnelle étendant le schéma implicite d'Euler aux évolutions ayant une structure de type flot gradient. Nous mettons en {oe}uvre ce schéma pour des flots, linéaires ou non linéaires, de la courbure anisotrope ou cristalline, non locale ou inhomogène, e
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2

CHERMISI, MILENA. "Crystalline flow of planar partitions and a geometric approach for systems of PDEs." Doctoral thesis, Università degli Studi di Roma "Tor Vergata", 2006. http://hdl.handle.net/2108/202647.

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La presente tesi tratta due argomenti distinti. Il Capitolo 1 e il Capitolo 2 riguardano problemi di evoluzione di interfacce nel piano. Nel Capitolo 1 viene considerata l’evoluzione di un materiale policristallino con tre (o più) fasi, in presenza di un’anisotropia cristallina (pari) ϕo la cui linea di livello 1, Fϕ :={ϕo ≤1} (Frank diagram), è un poligono regolare di n lati. La funzione duale ϕ : R2 →R definita da ϕ(ξ) := sup{ξ·η : ϕo(η)≤1}´e anch’essa un’anisotropia cristallina e Wϕ := {ϕ ≤ 1} è detta Wulff shape. In particolare, viene studiato il moto per curvatura cristallina di triodi elem
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Book chapters on the topic "Crystalline Curvature Flows"

1

Arous, Gerard Ben, Allen Tannenbaum, and Ofer Zeitouni. "Crystalline Stochastic Systems and Curvature Driven Flows." In Mathematical Systems Theory in Biology, Communications, Computation, and Finance. Springer New York, 2003. http://dx.doi.org/10.1007/978-0-387-21696-6_2.

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2

Ishiwata, Tetsuya, and Shigetoshi Yazaki. "Convexity Phenomena Arising in an Area-Preserving Crystalline Curvature Flow." In Springer Proceedings in Mathematics & Statistics. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-0364-7_2.

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Conference papers on the topic "Crystalline Curvature Flows"

1

Narumi, Takatsune, Jun Fukada, and Tomiichi Hasegawa. "Flow Induced Unstable Structure of Liquid Crystalline Polymer Solution in L-Shaped Slit Channels." In ASME/JSME 2007 5th Joint Fluids Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/fedsm2007-37169.

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Abstract:
An experimental study has been conducted on unstable structures induced in two dimensional slit flows of liquid crystalline polymer solution. 50wt% aqueous solution of hydroxyl-propylcellulose (HPC) was utilized as a test fluid and its flow behavior in L-shaped slit channels with cross section of 1mm height and 16mm width was measured optically. The inner corner of the L-shaped channel was rounded off in order to clarify the influence of the radius of curvature on the unstable behavior. A conversing curved channel was also tested. The flow patterns of HPC solution in the channels were visualiz
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2

ISHIWATA, TETSUYA. "MOTION OF NON-CONVEX POLYGON BY CRYSTALLINE CURVATURE FLOW AND ITS GENERALIZATION." In Proceedings of the International Conference on Nonlinear Analysis. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812709257_0008.

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3

HIROTA, CHIAKI, ISHIWATA TETSUYA, and YAZAKI SHIGETOSHI. "NOTE ON THE ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO AN ANISOTROPIC CRYSTALLINE CURVATURE FLOW." In Proceedings of the 2004 Swiss-Japanese Seminar. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812774170_0006.

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