EXISTENCE OF SOLUTIONS AND ITERATIVE APPROXIMATIONS FOR NONLINEAR SYSTEMS ARISING IN FREE CONVECTION

DOI10.1142/S0219530509001360zbMath1176.35044OpenAlexW2060950191MaRDI QIDQ3395340

Bernard Brighi, Senoussi Guesmia

Publication date: 26 August 2009

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530509001360

zbMATH Keywords

iterative methodSchauder fixed point theoremtwo-dimensional bounded domainregularity of solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Fixed-point theorems (47H10) Nonlinear elliptic equations (35J60) Free convection (76R10) Boundary value problems for first-order elliptic systems (35J56) Boundary value problems for second-order elliptic systems (35J57) Boundary value problems for higher-order elliptic systems (35J58) Generalized solutions to partial differential equations (35Dxx)

Related Items (2)

Existence of strong solutions for nonlinear systems of PDEs arising in convective flow ⋮ On a nonlinear system of PDE's arising in free convection

Cites Work

• Elliptic Partial Differential Equations of Second Order
• Convection in a saturated porous medium at large Rayleigh number or Peclet number

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