Linear and Nonlinear Parabolic Forward-Backward Problems
Anne-Laure Dalibard
Sorbonne Université, Université Paris Cité, CNRS, INRIA, Paris, FranceFrédéric Marbach
École normale supérieure, Université PSL, CNRS, Paris, FranceJean Rax
Sorbonne Université, Université Paris Cité, CNRS, Paris, France
This book is published open access.
| FrontmatterDownload pp. i–iv | |
| AbstractDownload pp. v–vi | |
| ContentsDownload pp. vii–viii | |
| 1 | IntroductionDownload pp. 1–22 |
| 2 | The case of the linear shear flowDownload pp. 23–47 |
| 3 | A first nonlinear example in kinetic theoryDownload pp. 49–62 |
| 4 | A viscous Burgers equationDownload pp. 63–74 |
| 5 | The Prandtl system in the recirculation zoneDownload pp. 75–103 |
| 6 | Interpolation estimate for the linear shear flow problemDownload pp. 105–116 |
| A | Uniqueness of weak solutions for linear problemsDownload pp. 117–118 |
| B | Proofs of functional analysis resultsDownload pp. 119–128 |
| C | Unconditional regularity away from lateral boundariesDownload pp. 129–131 |
| List of notations Download pp. 133–135 | |
| ReferencesDownload pp. 137–140 |