Uniform Boundedness for Reaction-Diffusion Systems with Mass Dissipation

DOI10.1137/19M1277977zbMath1456.35105arXiv1905.10599OpenAlexW3121908345MaRDI QIDQ5147552

Brian P. Cupps, Bao Quoc Tang, Jeffrey J. Morgan

Publication date: 27 January 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.10599

zbMATH Keywords

global existenceduality methodglobal attractor conjecturemass dissipationuniform-in-time boundedness

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51) Classical solutions to PDEs (35A09)

Related Items (3)

Examples of finite time blow up in mass dissipative reaction-diffusion systems with superquadratic growth ⋮ Analysis of mass controlled reaction-diffusion systems with nonlinearities having critical growth rates ⋮ Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects

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