Zobrazeno 1 - 10
of 24
pro vyhledávání: '"HONG-TAO NIU"'
Autor:
Hong-Tao Niu
Publikováno v:
AIMS Mathematics, Vol 9, Iss 9, Pp 25261-25283 (2024)
This paper studied the asymptotic stability of traveling fronts of the Belousov-Zhabotinskii (BZ for short) system. Under the condition that the initial perturbation decays as $ |x|\rightarrow \infty $, we came to the conclusion that the traveling fr
Externí odkaz:
https://doaj.org/article/459b13feaf2a411a8d33e2b04574aeeb
Publikováno v:
Electronic Journal of Differential Equations, Vol 2020, Iss 112,, Pp 1-29 (2020)
In this article, we consider a diffusion system with the Belousov-Zhabotinskii (BZ for short) chemical reaction. The existence and stability of V-shaped traveling fronts for the BZ system in $\mathbb{R}^2$ had been proved in our previous papers [30
Externí odkaz:
https://doaj.org/article/65537bef374842caabd541a4ed911d0a
Publikováno v:
Nonlinear Analysis. 233:113297
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a206dc6532dddcf5bda102e8fa5dd219
https://doi.org/10.1016/j.na.2023.113297
https://doi.org/10.1016/j.na.2023.113297
Autor:
Hong-Tao Niu
Publikováno v:
Zeitschrift für angewandte Mathematik und Physik. 73
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dbfb1f2604752f2c459fe3a165c2b1a8
https://doi.org/10.1007/s00033-022-01734-8
https://doi.org/10.1007/s00033-022-01734-8
Publikováno v:
Nonlinear Analysis: Real World Applications. 46:493-524
In this paper we consider the global stability of traveling curved fronts in the Belousov–Zhabotinskii (BZ for short) system in R 2 . The existence and part of the stability of such curved fronts have already been proved in our recent work (Niu et
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ddc7c06bec6e09b86ab8b27257761586
https://doi.org/10.1016/j.nonrwa.2018.10.003
https://doi.org/10.1016/j.nonrwa.2018.10.003
Publikováno v:
Communications on Pure & Applied Analysis. 18:2457-2472
In this paper, we study the asymptotic stability of traveling wave fronts to the Allen-Cahn equation with a fractional Laplacian. The main tools that we used are super- and subsolutions and squeezing methods.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4b41f69e87ab88653c052c412ea396cd
https://doi.org/10.3934/cpaa.2019111
https://doi.org/10.3934/cpaa.2019111
Publikováno v:
Differential and Integral Equations. 34
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::37d75a1b36df57bfa7aeaaa3c9b66ee4
https://doi.org/10.57262/die034-0506-265
https://doi.org/10.57262/die034-0506-265
Publikováno v:
Journal of Mathematical Physics. 63:021507
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6d7b823edd5e7091428303c8bbee18c0
https://doi.org/10.1063/5.0050839
https://doi.org/10.1063/5.0050839
Publikováno v:
Journal of Differential Equations. 264:5758-5801
In this paper we consider a diffusion system with the Belousov–Zhabotinskii (BZ for short) chemical reaction. Following Brazhnik and Tyson [4] and Perez-Munuzuri et al. [45] , who predicted V-shaped fronts theoretically and discovered V-shaped fron
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3c85827199e20e790701462429bfa6f6
https://doi.org/10.1016/j.jde.2018.01.020
https://doi.org/10.1016/j.jde.2018.01.020
Publikováno v:
Aerosol and Air Quality Research. 16:1757-1763
A method for purifying polluted air in large open space was proposed and verified based on concentration gradient diffusion theory and relative motion principle of purifying device to polluted air. As to the sources of particle emitting, the purifyin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::da45e37a9151de7c99f2bc5a003b1647
https://doi.org/10.4209/aaqr.2015.11.0650
https://doi.org/10.4209/aaqr.2015.11.0650