Weak solutions and supersolutions in $ L^1 $ for reaction-diffusion systems

By Michel Pierre. 2003

72 citations recorded by the source corpus.

Subfields: Applied Mathematics, Control and Systems Engineering, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/fd3a3363d6a5cf017adaa1351f97decdc0616772

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Julian Fischer
2. Dieter Bothe
3. Michel Pierre

In Control and Systems Engineering

1. Julian Fischer
2. Dieter Bothe
3. Michel Pierre
4. Klemens Fellner

In Public Health, Environmental and Occupational Health

1. Julian Fischer
2. Dieter Bothe
3. Michel Pierre
4. Klemens Fellner
5. Laurent Desvillettes

Citations in the corpus

• Global Existence of Renormalized Solutions to Entropy-Dissipating Reaction–Diffusion Systems (2015, methodology): “If we have some uniform L1 a-priori bound for the reaction terms for approximate problems, weak solutions exist in many cases, as shown by Pierre [33] (even without the entropy condition).”
• Quasi-steady-state approximation for a reaction–diffusion system with fast intermediate (2010, background): “Global existence of weak solutions is not new for the limit system itself (see [25], [11]).”
• Global Existence in Reaction-Diffusion Systems with Control of Mass: a Survey (2010, background): “And we have the following (see [55]): Theorem 5.”