NDLI: Higher Integrability of Solutions to Generalized Stokes System Under Perfect Slip Boundary Conditions

Content Provider	Springer Nature Link
Author	Mácha, Václav Tichý, Jakub
Copyright Year	2014
Abstract	We prove an L q theory result for generalized Stokes system in a $${\mathcal{C}^{2,1}}$$ domain complemented with the perfect slip boundary conditions and under Φ-growth conditions. Since the interior regularity was obtained in Diening and Kaplický (Manu Math 141:336–361, 2013), a regularity up to the boundary is an aim of this paper. In order to get the main result, we use Calderón–Zygmund theory and the method developed in Caffarelli and Peral (Ann Math 130:189–213, 1989). We obtain higher integrability of the first gradient of a solution.
Ending Page	845
Page Count	23
Starting Page	823
File Format	PDF
ISSN	14226928
e-ISSN	14226952
Journal	Journal of Mathematical Fluid Mechanics
Issue Number	4
Volume Number	16
Language	English
Publisher	Springer Basel
Publisher Date	2014-10-01
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Mathematical Methods in Physics Fluid- and Aerodynamics Generalized Stokes system Nonlinear boundary value problems for nonlinear elliptic equations L q theory Perfect slip boundary conditions Existence, uniqueness, and regularity theory Classical Continuum Physics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Mathematical Physics Condensed Matter Physics Computational Mathematics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Higher Integrability of Solutions to Generalized Stokes System Under Perfect Slip Boundary Conditions