Existence of optimal shape for a system of conservation laws in a free air-porous domain

DOI10.1090/S0033-569X-06-01012-XzbMath1115.49032MaRDI QIDQ3446424

Arian Novruzi

Publication date: 14 June 2007

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

shape optimization problemgas dynamics

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Navier-Stokes equations for incompressible viscous fluids (76D05) Optimization of shapes other than minimal surfaces (49Q10) Existence theories for optimal control problems involving partial differential equations (49J20) Statistical solutions of Navier-Stokes and related equations (76D06)

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Cites Work

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• Nonlinear systems of elliptic equations with natural growth conditions and sign conditions
• On the Boundary Condition at the Surface of a Porous Medium
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Coupling Fluid Flow with Porous Media Flow
• On The Interface Boundary Condition of Beavers, Joseph, and Saffman
• Locally Conservative Coupling of Stokes and Darcy Flows
• Introduction to Shape Optimization

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