Stability analysis of a coupled diffusion-transport system for oxygen transport in blood and tissue

DOI10.1016/0362-546X(85)90084-7zbMath0588.35017MaRDI QIDQ3715493

Chia-Ven Pao

Publication date: 1985

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

nonlinear system of partial differential equationsnonlinear second order parabolic equationdiffusion-transport equationsfirst order transport equationsmonotone argumentsnonnegative steady states

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Boundary value problems for nonlinear first-order PDEs (35F30)

Related Items (1)

MODELING AND HOMOGENIZING A PROBLEM OF ABSORPTION/DESORPTION IN POROUS MEDIA

Cites Work

• On nonlinear reaction-diffusion systems
• Mathematical modeling of the microcirculation
• Asymptotic behavior and nonexistence of global solutions for a class of nonlinear boundary value problems of parabolic type
• Stability results for solutions of reaction diffusion systems by the method of quasisolutions^†
• A Model Describing the Unsteady Transport of Substrate to Tissue from the Microcirculation
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