The 2D Compressible Euler Equations in Bounded Impermeable Domains with Corners

The 2D Compressible Euler Equations in Bounded Impermeable Domains with Corners PDF Author: Paul Godin
Publisher: American Mathematical Soc.
ISBN: 1470444216
Category : Education
Languages : en
Pages : 72

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Book Description
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.

The 2D Compressible Euler Equations in Bounded Impermeable Domains with Corners

The 2D Compressible Euler Equations in Bounded Impermeable Domains with Corners PDF Author: Paul Godin
Publisher: American Mathematical Soc.
ISBN: 1470444216
Category : Education
Languages : en
Pages : 72

Get Book Here

Book Description
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.

The 2D Compressible Euler Equations in Bounded Impermeable Domains with Corners

The 2D Compressible Euler Equations in Bounded Impermeable Domains with Corners PDF Author: Paul J. Godin
Publisher:
ISBN: 9781470464646
Category : Boundary value problems
Languages : en
Pages : 0

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Book Description
"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"--

Tunneling Estimates and Approximate Controllability for Hypoelliptic Equations

Tunneling Estimates and Approximate Controllability for Hypoelliptic Equations PDF Author: Camille Laurent
Publisher: American Mathematical Society
ISBN: 1470451387
Category : Mathematics
Languages : en
Pages : 108

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The Yang-Mills Heat Equation with Finite Action in Three Dimensions

The Yang-Mills Heat Equation with Finite Action in Three Dimensions PDF Author: Leonard Gross
Publisher: American Mathematical Society
ISBN: 1470450534
Category : Mathematics
Languages : en
Pages : 111

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Cubic Action of a Rank One Group

Cubic Action of a Rank One Group PDF Author: Matthias Grüninger
Publisher: American Mathematical Society
ISBN: 1470451344
Category : Mathematics
Languages : en
Pages : 154

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Local $L^p$-Brunn-Minkowski Inequalities for $p

Local $L^p$-Brunn-Minkowski Inequalities for $p PDF Author: Alexander V. Kolesnikov
Publisher: American Mathematical Society
ISBN: 1470451603
Category : Mathematics
Languages : en
Pages : 78

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On the Symplectic Type of Isomorphisms of the $p$-Torsion of Elliptic Curves

On the Symplectic Type of Isomorphisms of the $p$-Torsion of Elliptic Curves PDF Author: Nuno Freitas
Publisher: American Mathematical Society
ISBN: 1470452103
Category : Mathematics
Languages : en
Pages : 105

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The Canonical Ring of a Stacky Curve

The Canonical Ring of a Stacky Curve PDF Author: John Voight
Publisher: American Mathematical Society
ISBN: 1470452286
Category : Mathematics
Languages : en
Pages : 142

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Souslin Quasi-Orders and Bi-Embeddability of Uncountable Structures

Souslin Quasi-Orders and Bi-Embeddability of Uncountable Structures PDF Author: Alessandro Andretta
Publisher: American Mathematical Society
ISBN: 1470452731
Category : Mathematics
Languages : en
Pages : 189

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Brownian Regularity for the Airy Line Ensemble, and Multi-Polymer Watermelons in Brownian Last Passage Percolation

Brownian Regularity for the Airy Line Ensemble, and Multi-Polymer Watermelons in Brownian Last Passage Percolation PDF Author: Alan Hammond
Publisher: American Mathematical Society
ISBN: 1470452294
Category : Mathematics
Languages : en
Pages : 131

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