On a nonlinear system of PDE's arising in free convection

DOI10.1007/BF03377380zbMath1386.35036OpenAlexW2578725282MaRDI QIDQ1691816

Bernard Brighi, Senoussi Guesmia

Publication date: 25 January 2018

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03377380

zbMATH Keywords

contractionfree convectionexistence and uniquenessnonlinear elliptic systemfix point theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Free convection (76R10) Weak solutions to PDEs (35D30)

Related Items (1)

Existence of strong solutions for nonlinear systems of PDEs arising in convective flow

Cites Work

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• On the Blasius problem
• Model of diffusion in partially fissured media
• The equation \(f^{{\prime}{\prime}{\prime}}+ff^{{\prime}{\prime}}+g(f^{\prime})=0\) and the associated boundary value problems
• EXISTENCE OF SOLUTIONS AND ITERATIVE APPROXIMATIONS FOR NONLINEAR SYSTEMS ARISING IN FREE CONVECTION
• Convection in a saturated porous medium at large Rayleigh number or Peclet number

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