A note on existence and uniqueness of solutions for a 2D bioheat problem

DOI10.1080/00036811.2016.1148138zbMath1360.35289OpenAlexW2336422987MaRDI QIDQ2968007

Luciano Bedin, Fermin S. Viloche Bazán

Publication date: 9 March 2017

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2016.1148138

zbMATH Keywords

Fourier seriesPennes equationbioheat transfercurvilinear polygons

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Physiological flow (92C35) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items

Time-dependent lowest term estimation in a 2D bioheat transfer problem with nonlocal and convective boundary conditions ⋮ Direct and inverse problems for a 2D heat equation with a Dirichlet-Neumann-Wentzell boundary condition ⋮ Multidomain Chebyshev pseudo-spectral method applied to the Poisson-Boltzmann equation for two parallel plates ⋮ Time-dependent perfusion coefficient estimation in a bioheat transfer problem

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