The 2d Compressible Euler Equations In Bounded Impermeable Domains With Corners
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Author |
: Paul Godin |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 72 |
Release |
: 2021-06-21 |
ISBN-10 |
: 9781470444211 |
ISBN-13 |
: 1470444216 |
Rating |
: 4/5 (11 Downloads) |
Synopsis The 2D Compressible Euler Equations in Bounded Impermeable Domains with Corners by : Paul Godin
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.
Author |
: Paul J. Godin |
Publisher |
: |
Total Pages |
: 0 |
Release |
: 1900 |
ISBN-10 |
: 1470464640 |
ISBN-13 |
: 9781470464646 |
Rating |
: 4/5 (40 Downloads) |
Synopsis The 2D Compressible Euler Equations in Bounded Impermeable Domains with Corners by : Paul J. Godin
"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"--
Author |
: Camille Laurent |
Publisher |
: American Mathematical Society |
Total Pages |
: 108 |
Release |
: 2022-04-08 |
ISBN-10 |
: 9781470451387 |
ISBN-13 |
: 1470451387 |
Rating |
: 4/5 (87 Downloads) |
Synopsis Tunneling Estimates and Approximate Controllability for Hypoelliptic Equations by : Camille Laurent
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Author |
: Leonard Gross |
Publisher |
: American Mathematical Society |
Total Pages |
: 111 |
Release |
: 2022-02-02 |
ISBN-10 |
: 9781470450533 |
ISBN-13 |
: 1470450534 |
Rating |
: 4/5 (33 Downloads) |
Synopsis The Yang-Mills Heat Equation with Finite Action in Three Dimensions by : Leonard Gross
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Author |
: Matthias Grüninger |
Publisher |
: American Mathematical Society |
Total Pages |
: 154 |
Release |
: 2022-04-08 |
ISBN-10 |
: 9781470451349 |
ISBN-13 |
: 1470451344 |
Rating |
: 4/5 (49 Downloads) |
Synopsis Cubic Action of a Rank One Group by : Matthias Grüninger
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Author |
: Alexander V. Kolesnikov |
Publisher |
: American Mathematical Society |
Total Pages |
: 78 |
Release |
: 2022-05-24 |
ISBN-10 |
: 9781470451608 |
ISBN-13 |
: 1470451603 |
Rating |
: 4/5 (08 Downloads) |
Synopsis Local $L^p$-Brunn-Minkowski Inequalities for $p by : Alexander V. Kolesnikov
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Author |
: Nuno Freitas |
Publisher |
: American Mathematical Society |
Total Pages |
: 105 |
Release |
: 2022-05-24 |
ISBN-10 |
: 9781470452100 |
ISBN-13 |
: 1470452103 |
Rating |
: 4/5 (00 Downloads) |
Synopsis On the Symplectic Type of Isomorphisms of the $p$-Torsion of Elliptic Curves by : Nuno Freitas
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Author |
: John Voight |
Publisher |
: American Mathematical Society |
Total Pages |
: 142 |
Release |
: 2022-05-24 |
ISBN-10 |
: 9781470452285 |
ISBN-13 |
: 1470452286 |
Rating |
: 4/5 (85 Downloads) |
Synopsis The Canonical Ring of a Stacky Curve by : John Voight
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Author |
: Alessandro Andretta |
Publisher |
: American Mathematical Society |
Total Pages |
: 189 |
Release |
: 2022-05-24 |
ISBN-10 |
: 9781470452735 |
ISBN-13 |
: 1470452731 |
Rating |
: 4/5 (35 Downloads) |
Synopsis Souslin Quasi-Orders and Bi-Embeddability of Uncountable Structures by : Alessandro Andretta
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Author |
: Alan Hammond |
Publisher |
: American Mathematical Society |
Total Pages |
: 131 |
Release |
: 2022-05-24 |
ISBN-10 |
: 9781470452292 |
ISBN-13 |
: 1470452294 |
Rating |
: 4/5 (92 Downloads) |
Synopsis Brownian Regularity for the Airy Line Ensemble, and Multi-Polymer Watermelons in Brownian Last Passage Percolation by : Alan Hammond
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