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The study of internal gravity waves provides many challenges: they move along interfaces as well as in fully three-dimensional space, at relatively fast temporal and small spatial scales, making them difficult to observe and resolve in weather and climate models. Solving the equations describing their evolution poses various mathematical challenges associated with singular boundary value problems and large amplitude dynamics. This book provides the first comprehensive treatment of the theory for small and large amplitude internal gravity waves. Over 120 schematics, numerical simulations and laboratory images illustrate the theory and mathematical techniques, and 130 exercises enable the reader to apply their understanding of the theory. This is an invaluable single resource for academic researchers and graduate students studying the motion of waves within the atmosphere and ocean, and also mathematicians, physicists and engineers interested in the properties of propagating, growing and breaking waves.
Internal waves --- Gravity waves --- Fluid dynamics --- Earth & Environmental Sciences --- Marine Science --- Dynamics --- Fluid mechanics --- Hydrodynamics --- Waves --- Boundary waves (Oceanography) --- Waves, Internal --- Ocean waves --- Internal waves. --- Gravity waves. --- Fluid dynamics.
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Internal wave dynamics in lakes (and oceans) is an important physical component of geophysical fluid mechanics of ‘quiescent’ water bodies of the Globe. The formation of internal waves requires seasonal stratification of the water bodies and generation by (primarily) wind forces. Because they propagate in basins of variable depth, a generated wave field often experiences transformation from large basin-wide scales to smaller scales. As long as this fission is hydrodynamically stable, nothing dramatic will happen. However, if vertical density gradients and shearing of the horizontal currents in the metalimnion combine to a Richardson number sufficiently small (< ¼), the light epilimnion water mixes with the water of the hypolimnion, giving rise to vertical diffusion of substances into lower depths. This meromixis is chiefly responsible for the ventilation of the deeper waters and the homogenization of the water through the lake depth. These processes are mainly formed as a result of the physical conditions, but they play biologically an important role in the trophicational state of the lake.
Internal waves. --- Lakes. --- Internal waves --- Lakes --- Geography --- Physics --- Earth & Environmental Sciences --- Physical Sciences & Mathematics --- Physical Geography --- Cosmic Physics --- Marine Science --- Lochs --- Boundary waves (Oceanography) --- Waves, Internal --- Earth sciences. --- Geophysics. --- Mathematical physics. --- Mechanics. --- Marine sciences. --- Freshwater. --- Earth Sciences. --- Geophysics/Geodesy. --- Marine & Freshwater Sciences. --- Mathematical Physics. --- Bodies of water --- Ocean waves --- Physical geography. --- Marine Sciences. --- Classical Mechanics. --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Ocean sciences --- Aquatic sciences --- Physical mathematics --- Fresh waters --- Freshwater --- Freshwaters --- Inland water --- Inland waters --- Water --- Geological physics --- Terrestrial physics --- Earth sciences --- Mathematics
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Oceanic internal waves (IWs) at frequencies from local inertial (e.g., near-inertial internal waves) to buoyancy frequencies (nonlinear internal waves or internal solitary waves), sometimes including diurnal and semidiurnal tidal frequencies, play an important role in redistributing heat, momentum, materials, and energy via turbulent mixing. IWs are found ubiquitously in many seas, including East Asian marginal seas (Indonesian Seas, South China Sea, East China Sea, Yellow Sea, and East Sea or Japan Sea), significantly affecting underwater acoustics, coastal and offshore engineering, submarine navigation, biological productivity, and the local and global climate. Despite decades of study on the IWs in some regions, our understanding of the IWs in the East Asian marginal seas is still in a primitive state and the mechanisms underlying every stage (generation, propagation, evolution, and dissipation) of IWs are not always clear. This Special Issue includes papers related to all fields of both low- and high-frequency IW studies in the specified region, including remote sensing, in situ observations, theories, and numerical models.
near-inertial waves --- typhoon Megi --- South China Sea --- hybrid coordinate ocean model reanalysis results --- Luzon Strait --- baroclinic tides --- stratification variability --- MITgcm --- nonlinear internal wave --- propagating speed --- propagating direction --- underway observation --- moored observation --- East China Sea --- internal solitary wave --- shipboard observation --- extreme current velocity --- wave breaking --- trapped core --- near-inertial internal waves --- nonseasonal variability --- mesoscale flow field --- relative vorticity --- Okubo-Weiss parameter --- subsurface mooring --- southwestern East Sea --- Japan Sea --- internal waves --- Hainan Island --- KRI nanggala-402 submarine wreck --- Lombok Strait --- Bali Sea --- internal solitary waves --- remote sensing images --- underwater noise --- flow noise --- vortex-induced vibration --- the South China Sea --- n/a
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This book contains a comprehensive study of the internal ocean waves, which play a very important role in ocean physics providing mechanisms for ocean water mixing and circulation, as well as the transportation of gases, nutrients, and a very large number of marine organisms in the ocean body. In contrast to surface waves, the literature on internal waves is not so numerous, mainly due to the difficulties in experimental data collection and in the mathematical description of internal wave propagation. In this book, the basic mathematical principles, a physical description of the observed phenomena, and practical theoretical methods of determination of wave parameters as well as the original method of observation using moving sensors are presented. Special attention is paid to internal wave propagation over changing bottom topographies in shallow seas such as the Baltic Sea. The book is supplemented with an extended list of relevant and extended bibliographies, a subject index, and an author index.
Earth Sciences. --- Geophysics/Geodesy. --- Geophysics and Environmental Physics. --- Oceanography. --- Geography. --- Physical geography. --- Géographie --- Géographie physique --- Océanographie --- Gravity waves. --- Internal waves. --- Physics --- Physical Sciences & Mathematics --- Cosmic Physics --- Boundary waves (Oceanography) --- Waves, Internal --- Earth sciences. --- Geophysics. --- Hydrodynamics --- Waves --- Ocean waves --- Oceanography, Physical --- Oceanology --- Physical oceanography --- Thalassography --- Earth sciences --- Marine sciences --- Ocean --- Geography --- Geological physics --- Terrestrial physics
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This book covers a broad range of sea surface temperature studies from very different points of view and scales; the SST is observed from very local to regional and oceanic scales. The chapters of this book move from local and remote data sensing validation to local and regional trend analysis, and also give some insight into marine heatwaves and future climate scenarios.
sea surface temperature --- upper ocean heat content --- hurricane intensity --- Northeast Pacific --- Hawaii --- Hurricane Genevieve --- Hurricane Iselle --- Hurricane Julio --- satellite SST --- in situ --- coral reefs --- water temperature --- internal waves --- upwelling --- advection --- climate change --- coral bleaching --- air temperature --- Mann–Kendall test --- Split --- Hvar --- Komiža --- decadal and seasonal SST variation --- East China Shelf Seas --- CMIP5 --- WOA18 --- marine heatwaves --- Eastern Mediterranean Sea --- maximum intensity --- wind stress --- mean sea level pressure --- Red Sea --- marine heat wave --- duration --- frequency --- El Niño --- the NECC --- east of the dateline --- Pacific Ocean --- climate variability --- extreme events --- global climate models --- ecosystems --- n/a --- Mann-Kendall test --- Komiža --- El Niño
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Physical processes are keys for the status of a lake. In this Special Issue, the emphasis is on dissolved oxygen and on exchange of gases, energy and momentum between atmosphere and further mixing and consumption within the water. The studies presented relate to ice-free as well as ice-covered lakes. Field measurements are combined with theoretical approaches.
hydrodynamic model --- bubble plume --- artificial mixing --- GLM --- Si3D --- dissolved gas --- Henry law --- total gas pressure --- ebullition --- greenhouse gases --- lacustrine waters --- diurnal variation --- hourly model --- water temperature --- dissolved oxygen --- shallow lakes --- and sediment heat flux --- water quality --- chlorophyll-a --- phosphorus --- phosphorus release --- full set of turbulent stresses --- Acoustic Doppler current profilers --- interbeam velocity correlations --- ice-covered lakes --- convectively-mixed layer --- anisotropic turbulence --- shallow lake --- ice-covered period --- ice phenology --- snow-ice cover thickness --- under-ice irradiance --- radiatively driven convection --- climate change --- 3D modelling --- stratification --- bubble plumes --- fractal --- lakes --- mixing --- multi-scale --- turbulence --- energy fluxes --- energy content --- reservoirs --- internal waves --- surface waves --- biogenic turbulence
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There are many applications of mathematical physics in several fields of basic science and engineering. Thus, we have tried to provide the Special Issue “Modern Problems of Mathematical Physics and Their Applications” to cover the new advances of mathematical physics and its applications. In this Special Issue, we have focused on some important and challenging topics, such as integral equations, ill-posed problems, ordinary differential equations, partial differential equations, system of equations, fractional problems, linear and nonlinear problems, fuzzy problems, numerical methods, analytical methods, semi-analytical methods, convergence analysis, error analysis and mathematical models. In response to our invitation, we received 31 papers from more than 17 countries (Russia, Uzbekistan, China, USA, Kuwait, Bosnia and Herzegovina, Thailand, Pakistan, Turkey, Nigeria, Jordan, Romania, India, Iran, Argentina, Israel, Canada, etc.), of which 19 were published and 12 rejected.
cauchy problem --- regularization --- factorization --- regular solution --- fundamental solution --- road section --- IMF SWARA --- traffic safety --- fuzzy MARCOS --- DEA --- ordinary differential equations --- analytical methods --- mathematical models --- Riccati equation --- radial Schrödinger equation --- transformations --- hyper-singular integrals --- Navier–Stokes problem --- product user experience --- enterprise network public opinion --- identification of high-risk users --- random forest algorithm --- user portrait --- controlled second-order Lagrangian --- Euler–Lagrange equations --- isoperimetric constraints --- curvilinear integral --- differential 1-form --- partition functions --- analytical extensions --- guelfand’s and gradshteyn’s --- classical gravity --- internal waves in rotating ocean --- fractional derivative --- q-Homotopy analysis transform technique --- fixed point theorem --- minimal sensitivity --- optimization --- power transform --- critical index --- secant method --- generalized secant method --- complex roots --- cressman method --- EICM --- ENSO --- SSTA --- immune system --- virus-infected cell --- effector cell --- autoimmune disease --- time-delay virus-immune model --- differential equations --- differential operators --- non-local boundary value problems --- general conditions --- integral conditions --- multipoint conditions --- composition of operators --- pseudo-differential equation --- conjugation problem --- wave factorization --- solvability condition --- measure of noncompactness --- random effect --- random operator --- Mönch’s fixed point theorem --- multi-term fractional differential equation --- Carathéodory condition --- resolvent family theory --- multi-dimensional public opinion --- topic derivation --- complex network dynamics model --- online comments --- hot events --- fluid --- flows --- dynamic --- structure --- axiomatics --- fundamental equations --- dissipation --- complete solution --- ligaments --- waves --- vortices --- plate --- wake --- drop --- impact --- boundary element method --- barrier options --- multi-asset options --- basket options --- spread options --- thrid-order differential equations --- delay --- oscillation criteria --- n/a --- radial Schrödinger equation --- Navier-Stokes problem --- Euler-Lagrange equations --- guelfand's and gradshteyn's --- Mönch's fixed point theorem --- Carathéodory condition --- third-order differential equations
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Around 10% of the global population lives in the world’s coastal zones, mostly concentrated in the world’s largest megacities. In many regions, the population is exposed to a variety of natural hazards and space-based observations. This Special Issue will focus on the usage of remote sensing alone or in synergy with in situ measurments and modeling tools to provide precise and systematic information about processes acting in the world’s coastal zones.
ACOLITE --- coastal waters --- atmospheric correction --- time-series --- management --- Sentinel-2 --- radon transform --- remote sensing --- bathymetry inversion --- multi-scale monitoring --- image augmentation --- phytoplankton remote sensing --- coastal ocean --- red tides --- black pixel assumption --- satellite --- sediment transport --- coastal geomorphology --- ocean color --- GOCI --- VIIRS --- turbid waters --- satellite-derived bathymetry --- Copernicus programme --- multi-temporal approach --- lidar --- turbidity --- coastal upwelling --- wind forcing --- river plume --- MODIS --- Arctic Ocean --- hurricanes --- water quality --- Puerto Rico --- harmful algal blooms --- Chattonella spp. --- Skeletonema spp. --- backscattering --- Ariake Sea --- chlorophyll-a variability --- spring–neap tides --- MODIS-Aqua --- total suspended sediment --- river discharge --- band registration --- morphological registration --- multispectral camera --- Micasense Rededge-M --- Pearl River estuary --- diffuse attenuation coefficient --- S-EOF --- land subsidence --- multi-temporal SAR interferometry --- sea-surface height --- relative sea level change --- satellite altimetry data --- GNSS --- coastal urban centers --- natural protected areas --- climate change impact --- physics-based inversion method --- ocean surface circulation --- high frequency radar --- self-organizing map --- empirical orthogonal function --- neural networks --- synoptic characteristics --- wave radar --- sea waves --- model data --- Mediterranean sea --- small river plume --- aerial drone --- coastal processes --- frontal zones --- internal waves --- along-track interferometric synthetic aperture radar (ATI-SAR) --- current line-of-sight (LOS) velocity --- azimuth ambiguity --- baseline-to-platform speed ratio estimation --- storm surge --- coastal flooding --- marine storms --- natural hazards --- steric-effect --- satellite altimetry --- ADG/CDOM colored dissolved organic matter --- Sentinel 3 --- southwestern Puerto Rico --- ocean tidal backwater --- stage–discharge relation --- ocean tide model --- Mekong Delta --- suspended particulate matter --- ocean color data --- satellite remote sensing --- in situ measurements --- C2RCC --- Landsat-8 OLI --- Sentinel-2 MSI --- Mzymta River --- Black Sea --- MUR SST --- SST fronts --- Inner Sea of Chiloé --- northern Patagonia --- suspended sediment --- Typhoon Soudelor --- spatial–temporal distribution --- HF marine radars --- wave energy
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