03348nam a22004575i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001600153072001700169072002300186072001600209245014600225250001800371264007300389300006500462336002600527337002600553338003600579347002400615490005700639505088300696520078801579650002402367650002602391650003402417650002402451650002602475650004302501700007502544710003402619773002602653776003602679776003602715776003602751830005702787856004602844978-3-031-63512-0DE-He21320251030112841.0cr nn 008mamaa240807s2024    sz |    s    |||| 0|eng d  a97830316351207 a10.1007/978-3-031-63512-02doi 4aQA297-299.4 7aPBKS2bicssc 7aMAT0410002bisacsh 7aPBKS2thema10aNonlinear Dispersive Wavesh[electronic resource] :bBased on the 2023 Workshop at University College Cork, Ireland /cedited by David Henry.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Birkhäuser,c2024.  aXII, 282 p. 59 illus., 40 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aAdvances in Mathematical Fluid Mechanics,x2297-03390 aPreface -- BOUNDARY VALUE PROBLEMS RELATED TO THE MUSKAT PROBLEM -- SOME FLOW CHARACTERISTICS OF STOKES WAVES VIA COMPLEX ANALYSIS -- RECOVERY OF TRAVELING WATER WAVES WITH SMOOTH VORTICITY FROM THE HORIZONTAL VELOCITY ON A LINE OF SYMMETRY FOR VARIOUS WAVE REGIMES -- NUMERICAL COMPUTATION OF STEADY ROTATIONAL WAVES AND RECOVERY OF THE SURFACE PROFILE FROM BOTTOM PRESSURE MEASUREMENTS -- Hamiltonian models for the propagation of long gravity waves, higher-order KdV-type equations and integrability -- An introduction to the Zakharov equation for modelling deep water waves -- Rotating convection and flows with horizontal kinetic energy backscatter -- Flexural-gravity waves under ice plates and related flows -- Nonlinear water waves and wave-current interactions at arbitrary latitude -- HOLLOW VORTICES AS NONLINEAR WAVES -- SPHERICAL COORDINATES FOR ARCTIC OCEAN FLOWS.  aThis volume explores a number of exciting developments in the field of nonlinear dispersive waves with a particular focus on waves arising in the ocean. Chapters are based on talks given at the workshop “Nonlinear Dispersive Waves” that was held at University College Cork, Ireland, on April 24-25, 2023. Specific topics covered include: The recovery of steady rotational wave surface profiles; Hamiltonian models for the propagation of long gravity waves; Waves propagating at the surface of a fluid covered by floating ice plates; The use of spherical coordinates to describe arctic ocean waves; Boundary value problems related to the Muskat Problem. Nonlinear Dispersive Waves will appeal to researchers as well as graduate students interested in this active area of research. 0aNumerical analysis. 0aMathematical physics. 0aMathematicsxData processing.14aNumerical Analysis.24aMathematical Physics.24aComputational Science and Engineering.1 aHenry, David.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303163511308iPrinted edition:z978303163513708iPrinted edition:z9783031635144 0aAdvances in Mathematical Fluid Mechanics,x2297-033940uhttps://doi.org/10.1007/978-3-031-63512-0