Stability and spectral comparison of a reaction-diffusion system with mass conservation

DOI10.1007/s10884-018-9650-6zbMath1395.35111OpenAlexW2790527311WikidataQ130169331 ScholiaQ130169331MaRDI QIDQ1663185

Yoshihisa Morita, Evangelos A. Latos, Takashi Suzuki

Publication date: 21 August 2018

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-018-9650-6

zbMATH Keywords

mass conservationLyapunov functionreaction diffusion systemcell polarityglobal-in-time behaviorspectral comparison

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell biology (92C37) Initial value problems for second-order parabolic systems (35K45)

Related Items (6)

Nonlocal eigenvalue problems arising in a generalized phase-field-type system ⋮ Quasilinear reaction diffusion systems with mass dissipation ⋮ Asymptotic behavior of equilibrium states of reaction-diffusion systems with mass conservation ⋮ Existence of spiky stationary solutions to a mass-conserved reaction-diffusion model ⋮ Long time behavior and stable patterns in high-dimensional polarity models of asymmetric cell division ⋮ Turing type instability in a diffusion model with mass transport on the boundary

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