Theoretical Study of Explosion Phenomena for a Semi-parabolic Problem

Jamal Oudetallah; Zainouba Chebana; Taki Eddine Oussaeif; Adel Ouannas; Iqbal M. Batiha

doi:10.1007/978-981-99-0447-1_22

Theoretical Study of Explosion Phenomena for a Semi-parabolic Problem

Jamal Oudetallah
, Zainouba Chebana
, Taki Eddine Oussaeif
, Adel Ouannas
, Iqbal M. Batiha

Nonlinear Dynamic Research Centre (NDRC)

Irbid National University
University of Oum El Bouaghi

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

12 Scopus citations

Abstract

This paper aims to present the explosion phenomena for a special semi-parabolic problem with a classical Neumann condition where we are interested in the finite time to blow up by using the energy method. A new theoretical result is provided with its proof.

Original language	English
Title of host publication	Mathematics and Computation - IACMC 2022
Editors	Dia Zeidan, Juan C. Cortés, Aliaa Burqan, Ahmad Qazza, Gharib Gharib, Jochen Merker
Publisher	Springer
Pages	271-276
Number of pages	6
ISBN (Print)	9789819904464
DOIs	https://doi.org/10.1007/978-981-99-0447-1_22
State	Published - 2023
Event	7th International Arab Conference on Mathematics and Computations, IACMC 2022 - Zarqa, Jordan Duration: 11 May 2022 → 13 May 2022

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	418
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	7th International Arab Conference on Mathematics and Computations, IACMC 2022
Country/Territory	Jordan
City	Zarqa
Period	11/05/22 → 13/05/22

Keywords

Finite-time blow-up of solution
Nonlinear equations
Parabolic equation

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10.1007/978-981-99-0447-1_22

Cite this

Oudetallah, J., Chebana, Z., Oussaeif, T. E., Ouannas, A., & Batiha, I. M. (2023). Theoretical Study of Explosion Phenomena for a Semi-parabolic Problem. In D. Zeidan, J. C. Cortés, A. Burqan, A. Qazza, G. Gharib, & J. Merker (Eds.), Mathematics and Computation - IACMC 2022 (pp. 271-276). (Springer Proceedings in Mathematics and Statistics; Vol. 418). Springer. https://doi.org/10.1007/978-981-99-0447-1_22

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title = "Theoretical Study of Explosion Phenomena for a Semi-parabolic Problem",

abstract = "This paper aims to present the explosion phenomena for a special semi-parabolic problem with a classical Neumann condition where we are interested in the finite time to blow up by using the energy method. A new theoretical result is provided with its proof.",

keywords = "Finite-time blow-up of solution, Nonlinear equations, Parabolic equation",

author = "Jamal Oudetallah and Zainouba Chebana and Oussaeif, \{Taki Eddine\} and Adel Ouannas and Batiha, \{Iqbal M.\}",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.; 7th International Arab Conference on Mathematics and Computations, IACMC 2022 ; Conference date: 11-05-2022 Through 13-05-2022",

year = "2023",

doi = "10.1007/978-981-99-0447-1\_22",

language = "English",

isbn = "9789819904464",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer",

pages = "271--276",

editor = "Dia Zeidan and Cort{\'e}s, \{Juan C.\} and Aliaa Burqan and Ahmad Qazza and Gharib Gharib and Jochen Merker",

booktitle = "Mathematics and Computation - IACMC 2022",

address = "Germany",

}

Oudetallah, J, Chebana, Z, Oussaeif, TE, Ouannas, A & Batiha, IM 2023, Theoretical Study of Explosion Phenomena for a Semi-parabolic Problem. in D Zeidan, JC Cortés, A Burqan, A Qazza, G Gharib & J Merker (eds), Mathematics and Computation - IACMC 2022. Springer Proceedings in Mathematics and Statistics, vol. 418, Springer, pp. 271-276, 7th International Arab Conference on Mathematics and Computations, IACMC 2022, Zarqa, Jordan, 11/05/22. https://doi.org/10.1007/978-981-99-0447-1_22

Theoretical Study of Explosion Phenomena for a Semi-parabolic Problem. / Oudetallah, Jamal; Chebana, Zainouba; Oussaeif, Taki Eddine et al.
Mathematics and Computation - IACMC 2022. ed. / Dia Zeidan; Juan C. Cortés; Aliaa Burqan; Ahmad Qazza; Gharib Gharib; Jochen Merker. Springer, 2023. p. 271-276 (Springer Proceedings in Mathematics and Statistics; Vol. 418).

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

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T1 - Theoretical Study of Explosion Phenomena for a Semi-parabolic Problem

AU - Oudetallah, Jamal

AU - Chebana, Zainouba

AU - Oussaeif, Taki Eddine

AU - Ouannas, Adel

AU - Batiha, Iqbal M.

PY - 2023

Y1 - 2023

N2 - This paper aims to present the explosion phenomena for a special semi-parabolic problem with a classical Neumann condition where we are interested in the finite time to blow up by using the energy method. A new theoretical result is provided with its proof.

AB - This paper aims to present the explosion phenomena for a special semi-parabolic problem with a classical Neumann condition where we are interested in the finite time to blow up by using the energy method. A new theoretical result is provided with its proof.

KW - Finite-time blow-up of solution

KW - Nonlinear equations

KW - Parabolic equation

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M3 - Conference contribution

AN - SCOPUS:85163287207

SN - 9789819904464

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BT - Mathematics and Computation - IACMC 2022

A2 - Zeidan, Dia

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A2 - Qazza, Ahmad

A2 - Gharib, Gharib

A2 - Merker, Jochen

PB - Springer

T2 - 7th International Arab Conference on Mathematics and Computations, IACMC 2022

Y2 - 11 May 2022 through 13 May 2022

ER -

Theoretical Study of Explosion Phenomena for a Semi-parabolic Problem

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