Reaction-diffusion-advection systems with discontinuous diffusion and mass control
In this paper, we study unique, globally defined uniformly bounded weak solutions for a
class of semilinear reaction-diffusion-advection systems. The coefficients of the differential …
class of semilinear reaction-diffusion-advection systems. The coefficients of the differential …
Examples of finite time blow up in mass dissipative reaction-diffusion systems with superquadratic growth
M Pierre, D Schmitt - … and Continuous Dynamical Systems-Series A, 2023 - hal.science
We provide explicit examples of finite time L∞-blow up for the solutions of 2× 2 reaction-
diffusion systems for which three main properties hold: positivity is preserved for all time, the …
diffusion systems for which three main properties hold: positivity is preserved for all time, the …
Boundedness for reaction–diffusion systems with lyapunov functions and intermediate sum conditions
We study the uniform boundedness of solutions to reaction–diffusion systems possessing a
Lyapunov-like function and satisfying an intermediate sum condition. This significantly …
Lyapunov-like function and satisfying an intermediate sum condition. This significantly …
A class of fractional parabolic reaction–diffusion systems with control of total mass: theory and numerics
M Daoud, EH Laamri, A Baalal - Journal of Pseudo-Differential Operators …, 2024 - Springer
In this paper, we prove global-in-time existence of strong solutions to a class of fractional
parabolic reaction–diffusion systems posed in a bounded domain of RN. The nonlinear …
parabolic reaction–diffusion systems posed in a bounded domain of RN. The nonlinear …
Diffusive relaxation to equilibria for an extended reaction–diffusion system on the real line
We study the longtime behavior of the solutions of a two-component reaction–diffusion
system on the real line, which describes the basic chemical reaction. Assuming that the …
system on the real line, which describes the basic chemical reaction. Assuming that the …
A class of parabolic reaction-diffusion systems governed by spectral fractional Laplacians: Analysis and numerical simulations
M Daoud - arxiv preprint arxiv:2502.13771, 2025 - arxiv.org
In this paper, we prove the global-in-time existence of strong solutions to a class of fractional
parabolic reaction-diffusion systems set in a bounded open subset of $\mathbb {R}^ N …
parabolic reaction-diffusion systems set in a bounded open subset of $\mathbb {R}^ N …
[หนังสือ][B] Methods of Geometry in the Theory of Partial Differential Equations: Principle of the Cancellation of Singularities
T Suzuki - 2024 - World Scientific
This chapter is devoted to the study of equilibrium statistical mechanics of point vortices (§
2.1–§ 2.2). It is associated with conformal geometry in Chapter 1, particularly, the case that K …
2.1–§ 2.2). It is associated with conformal geometry in Chapter 1, particularly, the case that K …
Dominance analysis of competing protein assembly pathways
Most proteins form complexes consisting of two or more subunits, where complex assembly
can proceed via two competing pathways: co-translational assembly of a mature and a …
can proceed via two competing pathways: co-translational assembly of a mature and a …
On quasi-linear reaction diffusion systems arising from compartmental SEIR models
The global existence and boundedness of solutions to quasi-linear reaction-diffusion
systems are investigated. The system arises from compartmental models describing the …
systems are investigated. The system arises from compartmental models describing the …
Stability analysis of irreversible chemical reaction-diffusion systems with boundary equilibria
TL Nguyen, BQ Tang - arxiv preprint arxiv:2410.22928, 2024 - arxiv.org
Large time dynamics of reaction-diffusion systems modeling some irreversible reaction
networks are investigated. Depending on initial masses, these networks possibly possess …
networks are investigated. Depending on initial masses, these networks possibly possess …