05157nam 2200577 450 991062431030332120230508101631.09783031142680(electronic bk.)9783031142673(MiAaPQ)EBC7133438(Au-PeEL)EBL7133438(CKB)25299349700041(PPN)266352650(EXLCZ)992529934970004120230319d2022 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierResearch in PDEs and related fields the 2019 Spring School, Sidi Bel Abbès, Algeria /Kaïs Ammari, editorCham, Switzerland :Birkhäuser,[2022]©20221 online resource (192 pages)Tutorials, schools, and workshops in the mathematical sciencesPrint version: Ammari, Kaïs Research in PDEs and Related Fields Cham : Springer International Publishing AG,c2022 9783031142673 Includes bibliographical references.Intro -- Preface -- Contents -- Sobolev Spaces and Elliptic Boundary Value Problems -- 1 Sobolev Spaces, Inequalities, Dirichlet, and Neumann Problems for the Laplacian -- 1.1 Sobolev Spaces -- 1.2 First Properties -- 1.3 Traces -- 1.4 Interpolation -- 1.5 Transposition -- 1.6 Inequalities -- 1.7 Weak Solutions -- 1.8 Strong Solutions -- 1.9 Very Weak Solutions -- 1.10 Solutions in Hs(Ω), with 0 &lt -- s &lt -- 2 -- 2 The Stokes Problem with Various Boundary Conditions -- 2.1 The Problem (S) with Dirichlet Boundary Condition -- 2.2 The Stokes Problem with Navier Type Boundary Condition -- 2.3 The Stokes Problem with Navier Boundary Condition -- References -- Survey on the Decay of the Local Energy for the Solutions of the Nonlinear Wave Equation -- 1 Introduction and Preliminaries -- 2 Scattering for the Subcritical and Critical Wave Equation -- 2.1 The Subcritical Case -- 2.1.1 Prisized Morawetz Estimate -- 2.1.2 Global Time Strichartz Norms -- 2.1.3 The Proof of Theorem 2.1 -- 2.2 The Critical Case -- 2.2.1 Global Time Strichartz Norms -- 2.2.2 The Proof of Theorem 2.1 in the Case p=5 -- 3 Exponential Decay for the Local Energy of the Subcritical and Critical Wave Equation with Localized Semilinearity -- 3.1 Nonlinear Lax-Phillips Theory -- 3.2 Exponential Decay for the Local Energy of the Subcritical Wave Equation -- 3.2.1 The Compactness of Z(T) -- 3.2.2 Proof of Theorem 3.1 -- 3.3 Exponential Decay for the Local Energy of the Critical Wave Equation -- 4 Polynomial Decay for the Local Energy of the Semilinear Wave Equation with Small Data -- 4.1 Fundamental Lemmas -- 4.2 Proof of Theorem 4.1: Existence and Decay of the Local Energy -- 5 Decay of the Local Energy for the Solutions of the Critical Klein-Gordon Equation -- 5.1 Strichartz Norms Global in Time -- 5.2 Exponential Decay of the Local Energy of Localized Linear Klein-Gordon Equation.5.2.1 Semi-Group of Lax-Phillips Adapted to Localized Linear Klein-Gordon Equation -- 5.2.2 Proof of Theorem 5.9 -- 5.3 Proof of Theorem 5.1 -- Appendix -- References -- A Spectral Numerical Method to Approximate the Boundary Controllability of the Wave Equation with Variable Coefficients -- 1 Introduction -- 2 Numerical Approximation of the Control Problem -- 3 Minimal L2-Weighted Controls -- 4 Numerical Experiments -- 5 Appendix -- References -- Aggregation Equation and Collapse to Singular Measure -- 1 Introduction -- 2 Graph Reformulation and Main Results -- 3 Dini and Hölder Spaces -- 4 Modified Curved Cauchy Operators -- 5 Local Well-Posedness -- 6 Global Well-Posedness -- 6.1 Weak and Strong Damping Behavior of the Source Term -- 6.2 Global a Priori Estimates -- References -- Geometric Control of Eigenfunctions of Schrödinger Operators -- 1 Introduction -- 2 The Geometric Control Condition -- 3 Are There Examples for Which (OE(ω)) Holds and (OS(ω)) Does Not? -- 4 A Geometric Interpretation of (V-GCC) and Proof of Theorem 9 -- 5 On the Proof of Theorem 10 -- References -- Stability of a Graph of Strings with Local Kelvin-Voigt Damping -- 1 Introduction -- 2 Well-Posedness of the System -- 3 Asymptotic Behavior -- References.Tutorials, schools, and workshops in the mathematical sciences.Control theoryDifferential equations, PartialDifferential equations, PartialNumerical solutionsTeoria de controlthubEquacions en derivades parcialsthubSolucions numèriquesthubLlibres electrònicsthubControl theory.Differential equations, Partial.Differential equations, PartialNumerical solutions.Teoria de controlEquacions en derivades parcialsSolucions numèriques629.8312Ammari KaïsMiAaPQMiAaPQMiAaPQ9910624310303321Research in PDEs and related fields3071095UNINA02249nam 2200493 450 991082178950332120221129104625.01-64012-516-71-64012-517-5(MiAaPQ)EBC6976137(Au-PeEL)EBL6976137(CKB)21957532100041(OCoLC)1314854439(MdBmJHUP)musev2_97835(EXLCZ)992195753210004120221129d2022 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierConnected soldiers life, leadership, and social connections in modern war /John SpencerLincoln, Nebraska :Potomac Books,[2022]©20221 online resource (277 pages)Print version: Spencer, John Connected Soldiers Lincoln : Potomac Books,c2022 9781640125124 Includes bibliographical references and index.What we believe we know about combat cohesion -- Welcome to the platoon (primary group cohesion) -- Jump right into it (shared combat experiences) -- Home away from home (shared living hardships) -- I can't leave (group identity) -- A different Army and a different war -- Get the Internet back up! -- Conditions for social cohesion to form -- Connected and fighting -- Protecting and building the full team -- A winning team -- On the other end of connected warfare."Connected Soldiers recounts the action sequences that made the author a great combat leader, the methods he used to build unit cohesion, and then how he supported his wife as a stay at home father when his wife went off to war"--Provided by publisher.SoldiersFamily relationshipsUnit cohesion (Military science)United StatesSoldiersFamily relationships.Unit cohesion (Military science)306.27BIO008000HIS027190bisacshSpencer John1975-1709419MiAaPQMiAaPQMiAaPQBOOK9910821789503321Connected soldiers4099161UNINA