Some recent results on regularity of the crack-tip / crack-front of the Mumford-Shah minimizers

Hayk Mikayelyan

doi:10.1007/978-981-15-6062-0_2

Some recent results on regularity of the crack-tip / crack-front of the Mumford-Shah minimizers

Hayk Mikayelyan

School of Mathematical Sciences

Research output: Chapter in Book/Conference proceeding › Conference contribution › peer-review

Abstract

In this short note, we would like to present some recent results about the regularity of the crack at the crack-tip /crack-front for the minimizers of the Mumford–Shah functional in R2 and R3. The proofs can be found in [6, 25, 27].

Original language	English
Title of host publication	Mathematical Analysis of Continuum Mechanics and Industrial Applications III
Subtitle of host publication	Proceedings of the International Conference CoMFoS18
Editors	Hiromichi Itou, Shiro Hirano, Masato Kimura, Victor A. Kovtunenko, Alexandr M. Khludnev
Place of Publication	Singapore
Publisher	Springer
Chapter	2
Pages	23-33
Number of pages	11
ISBN (Electronic)	9789811560620
ISBN (Print)	9789811560613, 9789811560644
DOIs	https://doi.org/10.1007/978-981-15-6062-0_2
Publication status	Published - Aug 2020

Publication series

Name	Mathematics for Industry
Volume	34

Keywords

Mumford–Shah
Minimizers
crack-tip
crack-front

Access to Document

10.1007/978-981-15-6062-0_2

Cite this

Mikayelyan, H. (2020). Some recent results on regularity of the crack-tip / crack-front of the Mumford-Shah minimizers. In H. Itou, S. Hirano, M. Kimura, V. A. Kovtunenko, & A. M. Khludnev (Eds.), Mathematical Analysis of Continuum Mechanics and Industrial Applications III : Proceedings of the International Conference CoMFoS18 (pp. 23-33). (Mathematics for Industry; Vol. 34). Springer. https://doi.org/10.1007/978-981-15-6062-0_2

Mikayelyan, Hayk. / Some recent results on regularity of the crack-tip / crack-front of the Mumford-Shah minimizers. Mathematical Analysis of Continuum Mechanics and Industrial Applications III : Proceedings of the International Conference CoMFoS18. editor / Hiromichi Itou ; Shiro Hirano ; Masato Kimura ; Victor A. Kovtunenko ; Alexandr M. Khludnev. Singapore : Springer, 2020. pp. 23-33 (Mathematics for Industry).

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abstract = "In this short note, we would like to present some recent results about the regularity of the crack at the crack-tip /crack-front for the minimizers of the Mumford–Shah functional in R2 and R3. The proofs can be found in [6, 25, 27].",

keywords = "Mumford–Shah, Minimizers, crack-tip, crack-front",

author = "Hayk Mikayelyan",

year = "2020",

month = aug,

doi = "10.1007/978-981-15-6062-0_2",

language = "English",

isbn = "9789811560613",

series = "Mathematics for Industry",

publisher = "Springer",

pages = "23--33",

editor = "Hiromichi Itou and Hirano, {Shiro } and { Kimura}, Masato and Kovtunenko, {Victor A. } and Khludnev, {Alexandr M. }",

booktitle = "Mathematical Analysis of Continuum Mechanics and Industrial Applications III",

}

Mikayelyan, H 2020, Some recent results on regularity of the crack-tip / crack-front of the Mumford-Shah minimizers. in H Itou, S Hirano, M Kimura, VA Kovtunenko & AM Khludnev (eds), Mathematical Analysis of Continuum Mechanics and Industrial Applications III : Proceedings of the International Conference CoMFoS18. Mathematics for Industry, vol. 34, Springer, Singapore, pp. 23-33. https://doi.org/10.1007/978-981-15-6062-0_2

Some recent results on regularity of the crack-tip / crack-front of the Mumford-Shah minimizers. / Mikayelyan, Hayk.
Mathematical Analysis of Continuum Mechanics and Industrial Applications III : Proceedings of the International Conference CoMFoS18. ed. / Hiromichi Itou; Shiro Hirano; Masato Kimura; Victor A. Kovtunenko; Alexandr M. Khludnev. Singapore: Springer, 2020. p. 23-33 (Mathematics for Industry; Vol. 34).

Research output: Chapter in Book/Conference proceeding › Conference contribution › peer-review

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KW - crack-front

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PB - Springer

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Mikayelyan H. Some recent results on regularity of the crack-tip / crack-front of the Mumford-Shah minimizers. In Itou H, Hirano S, Kimura M, Kovtunenko VA, Khludnev AM, editors, Mathematical Analysis of Continuum Mechanics and Industrial Applications III : Proceedings of the International Conference CoMFoS18. Singapore: Springer. 2020. p. 23-33. (Mathematics for Industry). doi: 10.1007/978-981-15-6062-0_2

Some recent results on regularity of the crack-tip / crack-front of the Mumford-Shah minimizers

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