Global well-posedness and long time behaviors of chemotaxis-fluid system modeling coral fertilization

Myeongju Chae; Kyungkeun Kang; Jihoon Lee

doi:10.3934/dcds.2020109

Global well-posedness and long time behaviors of chemotaxis-fluid system modeling coral fertilization

Myeongju Chae, Kyungkeun Kang, Jihoon Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We consider generalized models on coral broadcast spawning phenomena involving diffusion, advection, chemotaxis, and reactions when egg and sperm densities are different. We prove the global-in-time existence of the regular solutions of the models as well as their temporal decays in two and three dimensions. We also show that the total masses of egg and sperm density have positive lower bounds as time tends to infinity in three dimensions.

Original language	English
Pages (from-to)	2135-2163
Number of pages	29
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	40
Issue number	4
DOIs	https://doi.org/10.3934/dcds.2020109
Publication status	Published - 2020

Bibliographical note

Funding Information:
Acknowledgments. We sincerely thank anonymous referees for their valuable remarks and suggestions. M. Chae’s work is partially supported by NRF-2018R1A1A 3A04079376. Kyungkeun Kang’s work is partially supported by NRF-2017R1A2B 400648. Jihoon Lee’s work is partially supported by NRF-2016R1A2B3011647.

Funding Information:
We sincerely thank anonymous referees for their valuable remarks and suggestions. M. Chae?s work is partially supported by NRF-2018R1A1A 3A04079376. Kyungkeun Kang?s work is partially supported by NRF-2017R1A2B 400648. Jihoon Lee?s work is partially supported by NRF- 2016R1A2B3011647.

Publisher Copyright:
© 2020 American Institute of Mathematical Sciences. All rights reserved.

All Science Journal Classification (ASJC) codes

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/dcds.2020109

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title = "Global well-posedness and long time behaviors of chemotaxis-fluid system modeling coral fertilization",

abstract = "We consider generalized models on coral broadcast spawning phenomena involving diffusion, advection, chemotaxis, and reactions when egg and sperm densities are different. We prove the global-in-time existence of the regular solutions of the models as well as their temporal decays in two and three dimensions. We also show that the total masses of egg and sperm density have positive lower bounds as time tends to infinity in three dimensions.",

author = "Myeongju Chae and Kyungkeun Kang and Jihoon Lee",

note = "Funding Information: Acknowledgments. We sincerely thank anonymous referees for their valuable remarks and suggestions. M. Chae{\textquoteright}s work is partially supported by NRF-2018R1A1A 3A04079376. Kyungkeun Kang{\textquoteright}s work is partially supported by NRF-2017R1A2B 400648. Jihoon Lee{\textquoteright}s work is partially supported by NRF-2016R1A2B3011647. Funding Information: We sincerely thank anonymous referees for their valuable remarks and suggestions. M. Chae?s work is partially supported by NRF-2018R1A1A 3A04079376. Kyungkeun Kang?s work is partially supported by NRF-2017R1A2B 400648. Jihoon Lee?s work is partially supported by NRF- 2016R1A2B3011647. Publisher Copyright: {\textcopyright} 2020 American Institute of Mathematical Sciences. All rights reserved.",

year = "2020",

doi = "10.3934/dcds.2020109",

language = "English",

volume = "40",

pages = "2135--2163",

journal = "Discrete and Continuous Dynamical Systems",

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T1 - Global well-posedness and long time behaviors of chemotaxis-fluid system modeling coral fertilization

AU - Chae, Myeongju

AU - Kang, Kyungkeun

AU - Lee, Jihoon

N1 - Funding Information: Acknowledgments. We sincerely thank anonymous referees for their valuable remarks and suggestions. M. Chae’s work is partially supported by NRF-2018R1A1A 3A04079376. Kyungkeun Kang’s work is partially supported by NRF-2017R1A2B 400648. Jihoon Lee’s work is partially supported by NRF-2016R1A2B3011647. Funding Information: We sincerely thank anonymous referees for their valuable remarks and suggestions. M. Chae?s work is partially supported by NRF-2018R1A1A 3A04079376. Kyungkeun Kang?s work is partially supported by NRF-2017R1A2B 400648. Jihoon Lee?s work is partially supported by NRF- 2016R1A2B3011647. Publisher Copyright: © 2020 American Institute of Mathematical Sciences. All rights reserved.

PY - 2020

Y1 - 2020

N2 - We consider generalized models on coral broadcast spawning phenomena involving diffusion, advection, chemotaxis, and reactions when egg and sperm densities are different. We prove the global-in-time existence of the regular solutions of the models as well as their temporal decays in two and three dimensions. We also show that the total masses of egg and sperm density have positive lower bounds as time tends to infinity in three dimensions.

AB - We consider generalized models on coral broadcast spawning phenomena involving diffusion, advection, chemotaxis, and reactions when egg and sperm densities are different. We prove the global-in-time existence of the regular solutions of the models as well as their temporal decays in two and three dimensions. We also show that the total masses of egg and sperm density have positive lower bounds as time tends to infinity in three dimensions.

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Global well-posedness and long time behaviors of chemotaxis-fluid system modeling coral fertilization

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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