A weakly coupled system of advection-reaction and diffusion equations in physiological gas transport

DOI10.1007/s13160-015-0174-8zbMath1323.35069OpenAlexW562594934MaRDI QIDQ495850

Yoshihisa Morita, Naoyuki Shinjo

Publication date: 15 September 2015

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-015-0174-8

zbMATH Keywords

asymptotic stabilitydiffusion equationoxygen transportadvection-reaction equationalveolar capillary

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

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• Mathematical physiology. II: Systems physiology
• Partial differential equations. 4th ed
• The respiratory system in equations
• Lyapunov function and spectrum comparison for a reaction-diffusion system with mass conservation
• Global existence for a parabolic-hyperbolic free boundary problem modelling tumor growth
• Asymptotic Stability of the Stationary Solution for a Parabolic-Hyperbolic Free Boundary Problem Modeling Tumor Growth
• Applied Mathematical Models in Human Physiology