full
search.png

Search

close.png

Cancel

Volume 6, Issue 4
On the Cauchy Problem for a Viscous Cahn-Hilliard-Oono System with Chemotaxis

Ning Duan & Ping Fang

DOI: 10.12150/jnma.2024.1228

J. Nonl. Mod. Anal., 6 (2024), pp. 1228-1236.

Published online: 2024-12

[An open-access article; the PDF is free to any online user.]

Preview Full PDF 319 3248

Cited by

google scholar semantic scholar
Export citation
  • Abstract

In this paper, we are concerned with the well-posedness and large time behavior of Cauchy problem for viscous Cahn-Hilliard-Oono system with chemotaxis in 3D whole space. By using the pure energy method, standard continuity arguments together with negative Sobolev norm estimates, one proves the global well-posedness and time decay estimates.

  • Keywords

Viscous Cahn-Hilliard-Oono system, global existence, decay.

  • AMS Subject Headings

35K55, 35D35

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JNMA-6-1228, author = {Duan , Ning and Fang , Ping}, title = {On the Cauchy Problem for a Viscous Cahn-Hilliard-Oono System with Chemotaxis}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2024}, volume = {6}, number = {4}, pages = {1228--1236}, abstract = {

In this paper, we are concerned with the well-posedness and large time behavior of Cauchy problem for viscous Cahn-Hilliard-Oono system with chemotaxis in 3D whole space. By using the pure energy method, standard continuity arguments together with negative Sobolev norm estimates, one proves the global well-posedness and time decay estimates.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2024.1228}, url = {http://global-sci.org/intro/article_detail/jnma/23682.html} }
TY - JOUR T1 - On the Cauchy Problem for a Viscous Cahn-Hilliard-Oono System with Chemotaxis AU - Duan , Ning AU - Fang , Ping JO - Journal of Nonlinear Modeling and Analysis VL - 4 SP - 1228 EP - 1236 PY - 2024 DA - 2024/12 SN - 6 DO - http://doi.org/10.12150/jnma.2024.1228 UR - https://global-sci.org/intro/article_detail/jnma/23682.html KW - Viscous Cahn-Hilliard-Oono system, global existence, decay. AB -

In this paper, we are concerned with the well-posedness and large time behavior of Cauchy problem for viscous Cahn-Hilliard-Oono system with chemotaxis in 3D whole space. By using the pure energy method, standard continuity arguments together with negative Sobolev norm estimates, one proves the global well-posedness and time decay estimates.

Duan , Ning and Fang , Ping. (2024). On the Cauchy Problem for a Viscous Cahn-Hilliard-Oono System with Chemotaxis. Journal of Nonlinear Modeling and Analysis. 6 (4). 1228-1236. doi:10.12150/jnma.2024.1228
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard