Existence and uniqueness of solutions of quasilinear transmission problems of both elliptic and pseudoparabolic type simulating oxygen transport in capillary and tissue

DOI10.1002/mma.1670020105zbMath0429.35030OpenAlexW2000056726MaRDI QIDQ3866509

U. Grossmann

Publication date: 1980

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670020105

zbMATH Keywords

weak solutionssingular perturbationspseudomonotone operatorsclassical solutionoxygen transportexistence and uniqueness of solutionselliptic regularizationcapillary and tissuedifferential operators in divergence formquasilinear transmission problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Initial value problems for second-order parabolic equations (35K15) Forced convection (76R05)

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Simulation of combined transfer of oxygen and heat through the skin using a capillary-loop model

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