The 2D compressible Euler equations in bounded impermeable domains with corners / Paul Godin.
| Author/creator | Godin, Paul |
| Format | Electronic |
| Publication Info | Providence, RI : American Mathematical Society, [2021] |
| Description | pages cm. |
| Supplemental Content | Full text available from Memoirs of the American Mathematical Society |
| Subjects |
| Series | Memoirs of the American Mathematical Society, 0065-9266 ; number 1313 |
| Contents | Statement of the results -- The associated linear Euler equations (C[infinity] coefficients) -- Proof of proposition 3.3 and of proposition 3.4, and more estimates -- The associated linear Euler equations (non-C[infinity] coefficients) -- Proof of theorem 2.1, theorem 2.2, remark 2.1, remark 2.2. |
| Abstract | "We study 2D compressible Euler flows in bounded impermeable domains whose boundary is smooth except for corners. We assume that the angles of the corners are small enough. Then we obtain local (in time) existence of solutions which keep the L2 Sobolev regularity of their Cauchy data, provided the external forces are sufficiently regular and suitable compatibility conditions are satisfied. Such a result is well known when there is no corner. Our proof relies on the study of associated linear problems. We also show that our results are rather sharp: we construct counterexamples in which the smallness condition on the angles is not fulfilled and which display a loss of L2 Sobolev regularity with respect to the Cauchy data and the external forces"-- Provided by publisher. |
| General note | "January 2021, volume 269, number 1313 (fourth of 7 numbers)." |
| Bibliography note | Includes bibliographical references. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2021016988 |
| ISBN | 9781470444211 (paperback) |
| ISBN | (pdf) |