Delayed blow-up and enhanced diffusion by transport noise for systems of reaction–diffusion equations

A Agresti - Stochastics and Partial Differential Equations: Analysis …, 2023 - Springer
This paper is concerned with the problem of regularization by noise of systems of reaction–
diffusion equations with mass control. It is known that strong solutions to such systems of …

A brief overview of existence results and decay time estimates for a mathematical modeling of scintillating crystals

F Daví - Mathematical Methods in the Applied Sciences, 2021 - Wiley Online Library
Inorganic scintillating crystals can be modelled as continua with microstructure. For rigid and
isothermal crystals, the evolution of charge carriers becomes in this way described by a …

Finite‐strain poro‐visco‐elasticity with degenerate mobility

WJM van Oosterhout, M Liero - ZAMM‐Journal of Applied …, 2024 - Wiley Online Library
A quasistatic nonlinear model for poro‐visco‐elastic solids at finite strains is considered in
the Lagrangian frame using the concept of second‐order nonsimple materials and Kelvin …

Weak–strong uniqueness for energy-reaction-diffusion systems

K Hopf - Mathematical Models and Methods in Applied …, 2022 - World Scientific
We establish weak–strong uniqueness and stability properties of renormalized solutions to a
class of energy-reaction-diffusion systems. The systems considered are motivated by …

Maximal mixed parabolic–hyperbolic regularity for the full equations of multicomponent fluid dynamics

PÉ Druet - Nonlinearity, 2022 - iopscience.iop.org
Abstract We consider a Navier–Stokes–Fick–Onsager–Fourier system of PDEs describing
mass, energy and momentum balance in a Newtonian fluid with composite molecular …

Global renormalised solutions and equilibration of reaction–diffusion systems with nonlinear diffusion

K Fellner, J Fischer, M Kniely, BQ Tang - Journal of Nonlinear Science, 2023 - Springer
The global existence of renormalised solutions and convergence to equilibrium for reaction–
diffusion systems with nonlinear diffusion are investigated. The system is assumed to have …

On quasi-linear reaction diffusion systems arising from compartmental SEIR models

J Yang, J Morgan, BQ Tang - Nonlinear Differential Equations and …, 2024 - Springer
The global existence and boundedness of solutions to quasi-linear reaction-diffusion
systems are investigated. The system arises from compartmental models describing the …

On the equilibrium solutions in a model for electro-energy-reaction-diffusion systems

K Hopf, M Kniely, A Mielke - arXiv preprint arXiv:2405.17289, 2024 - arxiv.org
Electro-energy-reaction-diffusion systems are thermodynamically consistent continuum
models for reaction-diffusion processes that account for temperature and electrostatic effects …