From the discrete to the continuous coagulation–fragmentation equations

By Philippe Laurençot, St'ephane Mischler. Proceedings of the Royal Society of Edinburgh. Section A Mathematics, 2002

106 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Modeling and Simulation, Water Science and Technology

View Paper: https://www.semanticscholar.org/paper/033bc9f6e66d1e6135c09b1915a86695ced1eb89

How researchers see this paper

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

In Computational Theory and Mathematics

1. Miguel Ángel Escobedo
2. Benoit Perthame
3. Philippe Laurençot
4. St'ephane Mischler
5. Florent Malrieu

In Modeling and Simulation

1. St'ephane Mischler
2. Philippe Laurençot
3. Miguel Ángel Escobedo
4. Benoit Perthame
5. José Antonio Carrillo
6. Michael Winkler
7. Adrien Blanchet
8. Vincent Calvez

In Water Science and Technology

1. Benoit Perthame
2. St'ephane Mischler
3. Miguel Ángel Escobedo
4. Philippe Laurençot
5. Nicolas G. Fournier
6. Lenya Ryzhik
7. Jean-Sébastien Giet

Citations in the corpus

• The Continuous Coagulation-Fragmentation¶Equations with Diffusion (2002, background): “Unfortunately, in the case of general rate coefficients a and b, (1.7) is the only available natural a priori estimate and it is not sufficient to yield an existence theory for (1.2)–(1.4) in the spatially inhomogeneous case (in contrast with the spatially homogeneous case for which it is almost eno”
• Gelation and mass conservation in coagulation-fragmentation models (2003, methodology): “In addition, we may proceed as in [ 14 ] to show that the family (f") is relatively compact in C([0,T];w L 1 (R+)) for every T > 0. Consequently, there are a subsequence (f"k ) of (f") and a non-negative f in C([0,+1);w L 1 (R+)) such that”