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
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| FrontmatterDownload pp. i–iv | |
| AbstractDownload pp. v–vi | |
| ContentsDownload pp. vii–viii | |
| 1 | IntroductionDownload pp. 1–22 |
| 2 | The case of the linear shear flowpp. 23–47 |
| 3 | A first nonlinear example in kinetic theorypp. 49–62 |
| 4 | A viscous Burgers equationpp. 63–74 |
| 5 | The Prandtl system in the recirculation zonepp. 75–103 |
| 6 | Interpolation estimate for the linear shear flow problempp. 105–116 |
| A | Uniqueness of weak solutions for linear problemspp. 117–118 |
| B | Proofs of functional analysis resultspp. 119–128 |
| C | Unconditional regularity away from lateral boundariespp. 129–131 |
| List of notations pp. 133–135 | |
| Referencespp. 137–140 |