A free boundary and an optimal shape problem of a floating body

DOI10.1007/s10231-012-0311-9zbMath1297.49019OpenAlexW2052455245MaRDI QIDQ741292

Norbert Franken

Publication date: 11 September 2014

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-012-0311-9

zbMATH Keywords

optimal shapeenergy functionalvariational problemfloating bodyfree boundaryHausdorff convergenceminimizing stream function

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Methods involving semicontinuity and convergence; relaxation (49J45) Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35)

Related Items (1)

Optimal design problems for a degenerate operator in Orlicz-Sobolev spaces

Cites Work

• Elliptic partial differential equations of second order
• A minimum problem with free boundary for a degenerate quasilinear operator
• On optimal shape design
• Free boundary problems and density perimeter
• Surface waves of finite depth
• Variation and optimization of formes. A geometric analysis
• An Optimization Problem with Volume Constraint
• Steady Water Waves
• A variational principle for a fluid with a free surface
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