Well-posedness of an asymptotic model for capillarity-driven free boundary Darcy flow in porous media in the critical Sobolev space. (August 2021)
- Record Type:
- Journal Article
- Title:
- Well-posedness of an asymptotic model for capillarity-driven free boundary Darcy flow in porous media in the critical Sobolev space. (August 2021)
- Main Title:
- Well-posedness of an asymptotic model for capillarity-driven free boundary Darcy flow in porous media in the critical Sobolev space
- Authors:
- Scrobogna, Stefano
- Abstract:
- Abstract: We prove that the quadratic approximation of the capillarity-driven free-boundary Darcy flow, derived in Granero-Belinchón and Scrobogna (2019), is well posed in H ̇ 3 ∕ 2 S 1, and globally well-posed if the initial datum is small in H ̇ 3 ∕ 2 S 1 .
- Is Part Of:
- Nonlinear analysis. Volume 60(2021)
- Journal:
- Nonlinear analysis
- Issue:
- Volume 60(2021)
- Issue Display:
- Volume 60, Issue 2021 (2021)
- Year:
- 2021
- Volume:
- 60
- Issue:
- 2021
- Issue Sort Value:
- 2021-0060-2021-0000
- Page Start:
- Page End:
- Publication Date:
- 2021-08
- Subjects:
- Incompressible fluids -- Free boundary -- Sharp interfaces -- Muskat
Nonlinear functional analysis -- Periodicals
Analyse fonctionnelle non linéaire -- Périodiques
Nonlinear functional analysis
Periodicals
515.7248 - Journal URLs:
- http://www.sciencedirect.com/science/journal/14681218 ↗
http://www.elsevier.com/journals ↗ - DOI:
- 10.1016/j.nonrwa.2021.103308 ↗
- Languages:
- English
- ISSNs:
- 1468-1218
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 6117.315200
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 16009.xml