[图书][B] Superlinear parabolic problems

P Quittner, P Souplet - 2019 - Springer
Pavol Quittner Philippe Souplet Blow-up, Global Existence and Steady States Second
Edition Page 1 Birkhäuser Advanced Texts Basler Lehrbücher Pavol Quittner Philippe …

Trend to equilibrium for reaction-diffusion systems arising from complex balanced chemical reaction networks

L Desvillettes, K Fellner, BQ Tang - SIAM Journal on Mathematical Analysis, 2017 - SIAM
The quantitative convergence to equilibrium for reaction-diffusion systems arising from
complex balanced chemical reaction networks with mass action kinetics is studied using the …

[HTML][HTML] Global classical solutions to quadratic systems with mass control in arbitrary dimensions

K Fellner, J Morgan, BQ Tang - Annales de l'Institut Henri Poincaré C …, 2020 - Elsevier
The global existence of classical solutions to reaction-diffusion systems in arbitrary space
dimensions is studied. The nonlinearities are assumed to be quasi-positive, to have (slightly …

Global existence for reaction–diffusion systems with dissipation of mass and quadratic growth

P Souplet - Journal of Evolution Equations, 2018 - Springer
We consider the Neumann and Cauchy problems for positivity preserving reaction–diffusion
systems of m equations enjoying the mass and entropy dissipation properties. We show …

Weak–strong uniqueness of solutions to entropy-dissipating reaction–diffusion equations

J Fischer - Nonlinear Analysis, 2017 - Elsevier
We establish a weak–strong uniqueness principle for solutions to entropy-dissipating
reaction–diffusion equations: As long as a strong solution to the reaction–diffusion equation …

Convergence to equilibrium of renormalised solutions to nonlinear chemical reaction–diffusion systems

K Fellner, BQ Tang - Zeitschrift für angewandte Mathematik und Physik, 2018 - Springer
The convergence to equilibrium for renormalised solutions to nonlinear reaction–diffusion
systems is studied. The considered reaction–diffusion systems arise from chemical reaction …

Uniform-in-time bounds for quadratic reaction-diffusion systems with mass dissipation in higher dimensions

K Fellner, J Morgan, BQ Tang - arXiv preprint arXiv:1906.06902, 2019 - arxiv.org
Uniform-in-time bounds of nonnegative classical solutions to reaction-diffusion systems in all
space dimension are proved. The systems are assumed to dissipate the total mass and to …

[图书][B] Chemotaxis, Reaction, Network: Mathematics for Self-Organization

T Suzuki - 2018 - books.google.com
Page 1 Cheſnctaxis, FEECtiºn, Netuurk Mathematics for Self-Organization - Takas hi Page 2
Cheſnotaxis, Reaction, NetLLDſk Mathematics for Self-Organization Page 3 This page …

[HTML][HTML] Asymptotic behavior of solutions to chemical reaction–diffusion systems

M Pierre, T Suzuki, R Zou - Journal of Mathematical Analysis and …, 2017 - Elsevier
This paper concerns the study of the asymptotic behavior of solutions to reaction–diffusion
systems modeling multi-components reversible chemistry with spatial diffusion. By solution …

[HTML][HTML] Well-posedness and exponential equilibration of a volume-surface reaction–diffusion system with nonlinear boundary coupling

K Fellner, E Latos, BQ Tang - Annales de l'Institut Henri Poincaré C …, 2018 - Elsevier
We consider a model system consisting of two reaction–diffusion equations, where one
species diffuses in a volume while the other species diffuses on the surface which surrounds …