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

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Publisher : American Mathematical Soc.
ISBN 13 : 1470444216
Total Pages : 72 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The 2D Compressible Euler Equations in Bounded Impermeable Domains with Corners by : Paul Godin

Download or read book The 2D Compressible Euler Equations in Bounded Impermeable Domains with Corners written by Paul Godin and published by American Mathematical Soc.. This book was released on 2021-06-21 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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ISBN 13 : 9781470464646
Total Pages : 0 pages
Book Rating : 4.4/5 (646 download)

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Book Synopsis The 2D Compressible Euler Equations in Bounded Impermeable Domains with Corners by : Paul J. Godin

Download or read book The 2D Compressible Euler Equations in Bounded Impermeable Domains with Corners written by Paul J. Godin and published by . This book was released on 1900 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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

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Publisher : American Mathematical Society
ISBN 13 : 1470451387
Total Pages : 108 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Tunneling Estimates and Approximate Controllability for Hypoelliptic Equations by : Camille Laurent

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

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Publisher : American Mathematical Society
ISBN 13 : 1470450534
Total Pages : 111 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Yang-Mills Heat Equation with Finite Action in Three Dimensions by : Leonard Gross

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Cubic Action of a Rank One Group

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Publisher : American Mathematical Society
ISBN 13 : 1470451344
Total Pages : 154 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Cubic Action of a Rank One Group by : Matthias Grüninger

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

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Publisher : American Mathematical Society
ISBN 13 : 1470451603
Total Pages : 78 pages
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Book Synopsis Local $L^p$-Brunn-Minkowski Inequalities for $p by : Alexander V. Kolesnikov

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

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Publisher : American Mathematical Society
ISBN 13 : 1470452103
Total Pages : 105 pages
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Book Synopsis On the Symplectic Type of Isomorphisms of the $p$-Torsion of Elliptic Curves by : Nuno Freitas

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The Canonical Ring of a Stacky Curve

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Publisher : American Mathematical Society
ISBN 13 : 1470452286
Total Pages : 142 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Canonical Ring of a Stacky Curve by : John Voight

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Souslin Quasi-Orders and Bi-Embeddability of Uncountable Structures

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Publisher : American Mathematical Society
ISBN 13 : 1470452731
Total Pages : 189 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Souslin Quasi-Orders and Bi-Embeddability of Uncountable Structures by : Alessandro Andretta

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

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Publisher : American Mathematical Society
ISBN 13 : 1470452294
Total Pages : 131 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Brownian Regularity for the Airy Line Ensemble, and Multi-Polymer Watermelons in Brownian Last Passage Percolation by : Alan Hammond

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Positive Gaussian Kernels Also Have Gaussian Minimizers

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Publisher : American Mathematical Society
ISBN 13 : 1470451433
Total Pages : 90 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Positive Gaussian Kernels Also Have Gaussian Minimizers by : Franck Barthe

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Isoperimetric Inequalities in Unbounded Convex Bodies

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Publisher : American Mathematical Society
ISBN 13 : 1470451182
Total Pages : 86 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Isoperimetric Inequalities in Unbounded Convex Bodies by : Gian Paolo Leonardi

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Non-Semisimple Extended Topological Quantum Field Theories

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Publisher : American Mathematical Society
ISBN 13 : 1470452693
Total Pages : 161 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Non-Semisimple Extended Topological Quantum Field Theories by : Marco De Renzi

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Maximal $textrm {PSL}_2$ Subgroups of Exceptional Groups of Lie Type

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Publisher : American Mathematical Society
ISBN 13 : 1470451190
Total Pages : 168 pages
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Book Synopsis Maximal $textrm {PSL}_2$ Subgroups of Exceptional Groups of Lie Type by : David A. Craven

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Abelian Networks IV. Dynamics of Nonhalting Networks

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Publisher : American Mathematical Society
ISBN 13 : 1470451417
Total Pages : 104 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Abelian Networks IV. Dynamics of Nonhalting Networks by : Swee Hong Chan

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On the Asymptotics to all Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function

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Publisher : American Mathematical Society
ISBN 13 : 1470450984
Total Pages : 114 pages
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Book Synopsis On the Asymptotics to all Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function by : Athanassios S. Fokas

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Local Dynamics of Non-Invertible Maps Near Normal Surface Singularities

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Publisher : American Mathematical Society
ISBN 13 : 1470449587
Total Pages : 100 pages
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Book Synopsis Local Dynamics of Non-Invertible Maps Near Normal Surface Singularities by : William Gignac

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