On generalized diffusion and heat systems on an evolving surface with a boundary

DOI10.1090/qam/1564zbMath1456.35195arXiv1810.07908OpenAlexW3000685279WikidataQ126566599 ScholiaQ126566599MaRDI QIDQ5140700

Hajime Koba

Publication date: 16 December 2020

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

Full work available at URL: https://arxiv.org/abs/1810.07908

zbMATH Keywords

transport equationdouble bubbleenergetic variational approachsurface divergence theoremevolving surface with boundarymotion velocityvariation of a dissipation energy

Mathematics Subject Classification ID

Diffusion (76R50) Variational methods applied to PDEs (35A15) Liquid-gas two-phase flows, bubbly flows (76T10) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Initial-boundary value problems for mixed-type systems of PDEs (35M33) Quasilinear parabolic equations (35K59) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (2)

On generalized compressible fluid systems on an evolving surface with a boundary ⋮ Local and global solvability for advection-diffusion equation on an evolving surface with a boundary

Cites Work

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• An introduction to differential geometry with applications to elasticity
• Kinematics of submanifolds and the mean curvature normal
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• Finite elements on evolving surfaces
• A transport theorem for moving interfaces
• Reciprocal Relations in Irreversible Processes. II.
• Errata to “Energetic variational approaches for incompressible fluid systems on an evolving surface”
• On derivation of compressible fluid systems on an evolving surface
• Riemannian geometry and geometric analysis

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