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 |
| Genre | : Education |
| ISBN | : 1470444216 |
Download The 2D Compressible Euler Equations in Bounded Impermeable Domains with Corners Book in PDF, Epub and Kindle
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 |
| Genre | : Boundary value problems |
| ISBN | : 9781470464646 |
Download The 2D Compressible Euler Equations in Bounded Impermeable Domains with Corners Book in PDF, Epub and Kindle
"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 |
| Genre | : Mathematics |
| ISBN | : 1470451387 |
Download Tunneling Estimates and Approximate Controllability for Hypoelliptic Equations Book in PDF, Epub and Kindle
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| Author | : Leonard Gross |
| Publisher | : American Mathematical Society |
| Total Pages | : 111 |
| Release | : 2022-02-02 |
| Genre | : Mathematics |
| ISBN | : 1470450534 |
Download The Yang-Mills Heat Equation with Finite Action in Three Dimensions Book in PDF, Epub and Kindle
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| Author | : Matthias Grüninger |
| Publisher | : American Mathematical Society |
| Total Pages | : 154 |
| Release | : 2022-04-08 |
| Genre | : Mathematics |
| ISBN | : 1470451344 |
Download Cubic Action of a Rank One Group Book in PDF, Epub and Kindle
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| Author | : Alexander V. Kolesnikov |
| Publisher | : American Mathematical Society |
| Total Pages | : 78 |
| Release | : 2022-05-24 |
| Genre | : Mathematics |
| ISBN | : 1470451603 |
Download Local $L^p$-Brunn-Minkowski Inequalities for $p Book in PDF, Epub and Kindle
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| Author | : Nuno Freitas |
| Publisher | : American Mathematical Society |
| Total Pages | : 105 |
| Release | : 2022-05-24 |
| Genre | : Mathematics |
| ISBN | : 1470452103 |
Download On the Symplectic Type of Isomorphisms of the $p$-Torsion of Elliptic Curves Book in PDF, Epub and Kindle
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| Author | : John Voight |
| Publisher | : American Mathematical Society |
| Total Pages | : 142 |
| Release | : 2022-05-24 |
| Genre | : Mathematics |
| ISBN | : 1470452286 |
Download The Canonical Ring of a Stacky Curve Book in PDF, Epub and Kindle
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| Author | : Alessandro Andretta |
| Publisher | : American Mathematical Society |
| Total Pages | : 189 |
| Release | : 2022-05-24 |
| Genre | : Mathematics |
| ISBN | : 1470452731 |
Download Souslin Quasi-Orders and Bi-Embeddability of Uncountable Structures Book in PDF, Epub and Kindle
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| Author | : Alan Hammond |
| Publisher | : American Mathematical Society |
| Total Pages | : 131 |
| Release | : 2022-05-24 |
| Genre | : Mathematics |
| ISBN | : 1470452294 |
Download Brownian Regularity for the Airy Line Ensemble, and Multi-Polymer Watermelons in Brownian Last Passage Percolation Book in PDF, Epub and Kindle
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