Global Existence of Renormalized Solutions to Entropy-Dissipating Reaction–Diffusion Systems

By Julian Fischer. 2015

81 citations recorded by the source corpus.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/1f23419a7f4cd27a293a9c7a5fd2f9184c524119

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. Alexis Vasseur
2. Thierry Goudon
3. Luis Silvestre
4. Juan Luis V'azquez
5. Alexander Lorz
6. Vlad Vicol
7. Gui-Qiang G. Chen
8. Peter A. Markowich

In Modeling and Simulation

1. Alexis Vasseur
2. C. Caputo
3. Thierry Goudon

Citations in the corpus

• Solutions of the 4-species quadratic reaction-diffusion system are bounded and C∞-smooth, in any space dimension (2017, background): “problem: note that with u, u ln(u) ∈ L1 and ∇√u ∈ L2, it is still not clear how the nonlinear term Q(u) can make sense in D ′ ! For this reason, a notion of renormalized solutions is introduced in [14], and existence of solutions in this framework can be established.”