A Level Set Approach Reflecting Sheet Structure with Single Auxiliary Function for Evolving Spirals on Crystal Surfaces

Keywords

Eikonal equation, Curvature, Level set (data structures), Function (biology), Dislocation

References

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• Uniqueness and existence of spirals moving by forced mean curvature motionNicolas Forcadel, Cyril Imbert, Régis Monneau — 2010
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Cited by

• Steady State and Long Time Convergence of Spirals Moving by Forced Mean Curvature MotionNicolas Forcadel, Cyril Imbert, R. Monneau — 2014
• DISCONTINUOUS STATIONARY SOLUTION TO GENERALIZED EIKONAL-CURVATURE EQUATION AND ITS STABILITYTakeshi Ohtsuka — 2014
• Mathematics for Nonlinear Phenomena: Analysis and ComputationYasunori Maekawa, Shuichi Jimbo, Jimbo, Shuichi — 2017
• Towards modelling spiral motion of open plane curvesKoichi Osaki, Hirotoshi Satoh, Shigetoshi Yazaki — 2015
• EVOLUTION OF SPIRAL-SHAPED POLYGONAL CURVE BY CRYSTALLINE CURVATURE FLOW WITH A PINNED TIPTetsuya Ishiwata, Takeshi Ohtsuka — 2016
• Growth Rate of Crystal Surfaces with Several Dislocation CentersTakeshi Ohtsuka, Yen‐Hsi Richard Tsai, Yoshikazu Giga — 2016
• Mean curvature flow with driving force on fixed extreme pointsLongjie Zhang — 2017
• Curvature flow with driving force on fixed boundary pointsLongjie Zhang — 2018
• ON LARGE TIME BEHAVIOR OF GROWTH BY BIRTH AND SPREADYoshikazu Giga — 2018
• Existence of asymptotic speed of solutions to birth and spread type nonlinear partial differential equationsYoshikazu Giga, Hiroyoshi Mitake, Takeshi Ohtsuka — 2018
• Verification of one-dimensional models describing anisotropy of step growthMarek Izdebski, Rafał Ledzion — 2017
• On obstacle problem for mean curvature flow with driving forceYoshikazu Giga, Hung V. Tran, Longjie Zhang — 2018
• Numerical analysis comparing ODE approach and level set method for evolving spirals by crystalline eikonal-curvature flow.Tetsuya Ishiwata, Takeshi Ohtsuka — 2019
• Numerical analysis of an ODE and a level set methods for evolving spirals by crystalline eikonal-curvature flowTetsuya Ishiwata, Takeshi Ohtsuka — 2021
• Minkowski content estimates for generic area minimizing hypersurfacesXuanyu Li — 2020
• A level-set method for a mean curvature flow with a prescribed boundaryXingzhi Bian, Yoshikazu Giga, Hiroyoshi Mitake — 2023
• Asymptotic growth rate of solutions to level‐set forced mean curvature flows with evolving spiralsHiroyoshi Mitake, Hung V. Tran — 2023
• A minimizing movements approach for crystalline eikonal-curvature flows of spiralsTakeshi Ohtsuka, Yen‐Hsi Richard Tsai — 2024
• INFLUENCE OF TILTED SURFACE ALIGNMENT ON FLEXOELECTRIC DOMAINS IN TWISTED NEMATIC LAYERSS. Kania, J. Kuliński, D. Sikorski — 2018
• Spatial Lipschitz Continuity of Viscosity Solution to Level Set Equation for Evolving Spirals by Eikonal-Curvature FlowT. Ohtsuka — 2015

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