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The book is devoted to the fundamental aspects of the non-equilibrium statistical mechanics of many-particle systems. The concept of Zubarev’s approach, which generalizes the notion of Gibbs’ ensembles, and introduces a nonequilibrium statistical operator, providing an adequate basis for dealing with strongly correlated systems that are governed by nonperturbative phenomena, such as the formation of bound states, quantum condensates and the instability of the vacuum. Besides a general introduction to the formalism, this book contains contributions devoted to the applications of Zubarev’s method to the solution of modern problems in different fields of physics: transport theory, hydrodynamics, high-energy physics, quark-gluon plasma and hadron production in heavy-ion collisions. The book provides valuable information for researchers and students in these fields, requiring powerful concepts to solve fundamental problems of non-equilibrium phenomena in strongly

Research & information: general --- relativistic fluid dynamics --- statistical operator --- non-equilibrium states --- transport coefficients --- correlation functions --- open quantum system --- master equation --- non-equilibrium statistical operator --- relevant statistical operator --- quasi-temperature --- dynamic correlations --- QCD matter --- phase transition --- critical point --- nonequilibrium thermo-field dynamics --- kinetics --- hydrodynamics --- kinetic equations --- bound states --- quark-gluon plasma --- out-of-equilibrium quantum field theory --- dimensional renormalization --- finite-time-path formalism --- Boltzmann equation --- gluon saturation --- pion enhancement --- ALICE --- LHC --- thermalization --- hadronization --- Gibbs equilibrium statistical mechanics --- Bogoliubov’s quasi-averages --- pressure fluctuations --- relativistic ideal gas --- kinetic theory --- particle production --- Schwinger effect --- Zitterbewegung --- low density approximation --- quantum statistical mechanics --- relativistic hydrodynamics --- Kubo formulae --- graphene --- dynamic critical phenomena --- high-field and nonlinear effects --- QCD --- gluons --- Bose-Einstein condensate --- Fokker-Planck equation --- relaxation time approximation --- linear response theory --- permittivity, dynamical conductivity, absorption coefficient, dynamical collision frequency --- ordered lattice, disordered lattice --- Umklapp process --- interband transitions --- finite temperature field theory --- path integrals --- quantum fields in curved spacetime --- symmetries --- quantum anomalies --- irreversibility --- entropy --- electrical conductivity --- Zubarev operator --- Unruh effect --- acceleration --- Zubarev formalism --- pion chemical potential

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This book aims to provide research and engineering applications related to water and hydraulic problems. It is comprised of scientific papers in all topics of hydraulics, in particular, on sustainable water management, environmental hydraulics, ecohydraulics, water–energy nexus, and systems protection and efficiency. Safety and innovation issues, interdisciplinary problems, and linkage of theory to experimental and field applications can also be found within. Solutions of water problems in the form of prediction models, flow simulations, engineering systems, monitoring, management strategies covering scientific investigations and/or experimental or field studies of flow behaviour, hydrodynamics, and climate changes effects and adaptation, new design solutions, innovative approaches in the field of environment, hydraulics, techniques, methods, and analyses to address the new challenges in environmental hydraulics are alo presented and explored. This topic is studied both from a technical and environmental point of view, with the objective of protecting and enhancing the quality of the environment. In a cross-disciplinary field of study, this book comprises open channel/river flows and pressurised systems, combining, among others, new technological, social, and environmental hydraulic challenges, working in water-related fields with available information, new concepts and tools, new design solutions, eco-friendly technologies, and the advanced materials necessary to address the increasing challenges of ensuring a sustainable water environment by promoting the adaptation, flexibility, integration, and sustainability of recognised environmental solutions.

water well --- hydraulic efficiency --- degradation --- engineering structure --- well ageing --- lifespan --- well operation --- water well management --- sustainable efficiency --- frozen soil --- soil freezing curve --- hydraulic conductivity --- fractal model --- Darcy’s law --- dissolved phosphorus --- hydrodynamic condition --- Lattice Boltzmann method --- release characteristics --- stormwater reuse --- SCS curve number --- CFD --- fecal indicator bacteria --- E. coli --- fish protection --- head loss --- intake --- hydraulics of renewable energy systems --- hydraulic structure design and management --- scale model test --- canal pool --- delay time --- volume compensation --- feedforward control --- downstream constant water level --- toothed internal energy dissipaters (TIED) --- area contraction ratio --- over-current capability --- energy dissipation rate --- time-averaged pressure --- pulsating pressure --- time-averaged velocity --- pulsating velocity --- water level --- Three Gorges Dam --- hydrodynamic model --- river–lake system --- Poyang Lake --- jet falling --- energy dissipation --- surface disturbances --- pressure fluctuations --- water jet --- physical modeling --- water flow diversity --- permeable spur dike --- fish aggregation effect --- channel regulation --- suspended vegetation --- FTW --- ADV --- velocity profile --- submerge ratio --- SVF --- hydro-energy --- CAES --- transient flow --- energy concept --- energy storage --- similarity law --- erosion --- cohesive sediments --- rotating circular flume --- mathematical modelling --- fitting coefficients --- sediment deposition --- flocculation --- bed shear stress --- consolidation --- hydrostatic pressure machine --- micro hydropower --- open source --- sliding mesh --- volume of fluid --- caffa3d --- pumped hydro storage (PHS) --- hybrid hydro-wind-solar solutions --- technical feasibility --- new power generation --- new hydraulic concepts --- sustainable developments --- CFD models --- water systems efficiency --- hydropower systems --- eco-design --- environmentally-friendly solutions --- hydrologic and ecologic challenges --- hydraulic structures --- free surface flows --- pressurised flows --- soil structure --- groundwater --- erosion and energy dissipaters --- hydrodynamics

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This book aims to provide research and engineering applications related to water and hydraulic problems. It is comprised of scientific papers in all topics of hydraulics, in particular, on sustainable water management, environmental hydraulics, ecohydraulics, water–energy nexus, and systems protection and efficiency. Safety and innovation issues, interdisciplinary problems, and linkage of theory to experimental and field applications can also be found within. Solutions of water problems in the form of prediction models, flow simulations, engineering systems, monitoring, management strategies covering scientific investigations and/or experimental or field studies of flow behaviour, hydrodynamics, and climate changes effects and adaptation, new design solutions, innovative approaches in the field of environment, hydraulics, techniques, methods, and analyses to address the new challenges in environmental hydraulics are alo presented and explored. This topic is studied both from a technical and environmental point of view, with the objective of protecting and enhancing the quality of the environment. In a cross-disciplinary field of study, this book comprises open channel/river flows and pressurised systems, combining, among others, new technological, social, and environmental hydraulic challenges, working in water-related fields with available information, new concepts and tools, new design solutions, eco-friendly technologies, and the advanced materials necessary to address the increasing challenges of ensuring a sustainable water environment by promoting the adaptation, flexibility, integration, and sustainability of recognised environmental solutions.

Technology: general issues --- water well --- hydraulic efficiency --- degradation --- engineering structure --- well ageing --- lifespan --- well operation --- water well management --- sustainable efficiency --- frozen soil --- soil freezing curve --- hydraulic conductivity --- fractal model --- Darcy’s law --- dissolved phosphorus --- hydrodynamic condition --- Lattice Boltzmann method --- release characteristics --- stormwater reuse --- SCS curve number --- CFD --- fecal indicator bacteria --- E. coli --- fish protection --- head loss --- intake --- hydraulics of renewable energy systems --- hydraulic structure design and management --- scale model test --- canal pool --- delay time --- volume compensation --- feedforward control --- downstream constant water level --- toothed internal energy dissipaters (TIED) --- area contraction ratio --- over-current capability --- energy dissipation rate --- time-averaged pressure --- pulsating pressure --- time-averaged velocity --- pulsating velocity --- water level --- Three Gorges Dam --- hydrodynamic model --- river–lake system --- Poyang Lake --- jet falling --- energy dissipation --- surface disturbances --- pressure fluctuations --- water jet --- physical modeling --- water flow diversity --- permeable spur dike --- fish aggregation effect --- channel regulation --- suspended vegetation --- FTW --- ADV --- velocity profile --- submerge ratio --- SVF --- hydro-energy --- CAES --- transient flow --- energy concept --- energy storage --- similarity law --- erosion --- cohesive sediments --- rotating circular flume --- mathematical modelling --- fitting coefficients --- sediment deposition --- flocculation --- bed shear stress --- consolidation --- hydrostatic pressure machine --- micro hydropower --- open source --- sliding mesh --- volume of fluid --- caffa3d --- pumped hydro storage (PHS) --- hybrid hydro-wind-solar solutions --- technical feasibility --- new power generation --- new hydraulic concepts --- sustainable developments --- CFD models --- water systems efficiency --- hydropower systems --- eco-design --- environmentally-friendly solutions --- hydrologic and ecologic challenges --- hydraulic structures --- free surface flows --- pressurised flows --- soil structure --- groundwater --- erosion and energy dissipaters --- hydrodynamics

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Geothermal energy is the thermal energy generated and stored in the Earth's core, mantle, and crust. Geothermal technologies are used to generate electricity and to heat and cool buildings. To develop accurate models for heat and mass transfer applications involving fluid flow in geothermal applications or reservoir engineering and petroleum industries, a basic knowledge of the rheological and transport properties of the materials involved (drilling fluid, rock properties, etc.)—especially in high-temperature and high-pressure environments—are needed. This Special Issue considers all aspects of fluid flow and heat transfer in geothermal applications, including the ground heat exchanger, conduction and convection in porous media. The emphasis here is on mathematical and computational aspects of fluid flow in conventional and unconventional reservoirs, geothermal engineering, fluid flow, and heat transfer in drilling engineering and enhanced oil recovery (hydraulic fracturing, CO2 injection, etc.) applications.

karst carbonate reservoir --- fracture compressibility --- enhanced gas recovery --- cost of electricity (COE) --- microstructure --- permeability --- CO2 permeability --- ammonia --- shale oil --- process simulation --- aquifer support --- spatiotemporal characteristics --- semi-analytical solution --- injection orientation --- CO2 diffusion --- wellbore temperature --- fluid front kinetics --- nest of tubes --- supercritical CO2 --- multiple parallel fractures --- multifractal theory --- real-scale --- techno-economic model --- fractal --- inter-well connectivity --- apparent permeability --- heat transfer --- porous media --- multiple structural units (MSU) --- coupled heat conduction and advection --- diffusion --- bottom-hole pressure --- tight reservoir --- ventilation --- surface diffusion --- unsteady process --- underground coal gasification (UCG) --- dynamic crack tip --- mercury intrusion porosimetry --- energy conservation analysis --- methanol --- comprehensive heat transfer model --- pressure fluctuations --- production optimization --- numerical simulation --- percolation model --- rheology --- drilling --- AE energy --- pipeline network --- natural gas --- huff-‘n-puff --- cement --- viscosity --- mathematical modeling --- enhanced geothermal systems --- cement slurries --- yield stress --- non-Newtonian fluids --- capacitance-resistance model --- thixotropy --- conductivity --- enhanced oil recovery --- leakage and overflow --- geothermal --- coal and rock fracture --- impact pressure --- computational fluid dynamics (CFD) --- GSHP (ground source heat pump) --- pore size distribution --- Knudsen diffusion --- hydraulic fracturing --- efficient simulation --- constitutive relations --- electricity generation --- fractal theory --- pore structure --- complex fracture network --- sloshing --- cost-effective --- slippage effect --- dynamic hydraulic-fracturing experiments --- critical porosity --- fracture uncertainty --- carbon capture and utilization (CCU) --- tube bundle model --- continuity/momentum and energy equations coupled --- main gas pipeline --- Coal excavation --- longitudinal dispersion coefficient --- computational fluid dynamic (CFD) --- flowback --- fracture simulation --- highly viscous fluids --- carbon capture and storage (CCS) --- energy dissipation --- economics --- particles model --- variable viscosity --- multi-pressure system --- frequency conversion technology (FCT) --- three-dimensional numerical simulation --- tight oil reservoirs --- multiphase flow --- methane removal --- Navier-Stokes equations

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The most influential research topic in the twenty-first century seems to be mathematics, as it generates innovation in a wide range of research fields. It supports all engineering fields, but also areas such as medicine, healthcare, business, etc. Therefore, the intention of this Special Issue is to deal with mathematical works related to engineering and multidisciplinary problems. Modern developments in theoretical and applied science have widely depended our knowledge of the derivatives and integrals of the fractional order appearing in engineering practices. Therefore, one goal of this Special Issue is to focus on recent achievements and future challenges in the theory and applications of fractional calculus in engineering sciences. The special issue included some original research articles that address significant issues and contribute towards the development of new concepts, methodologies, applications, trends and knowledge in mathematics. Potential topics include, but are not limited to, the following: Fractional mathematical models; Computational methods for the fractional PDEs in engineering; New mathematical approaches, innovations and challenges in biotechnologies and biomedicine; Applied mathematics; Engineering research based on advanced mathematical tools.

fractional order IMC --- first order plus dead-time processes --- event-based implementation --- numerical simulations --- comparative closed loop results --- nonlinear wave phenomen --- RBF --- local RBF-FD --- stability --- unmanned aerial vehicle (UAV) --- quaternion-based estimator --- low-cost design --- automatic optical inspection --- kinetic theory --- parallel robots --- robust control --- sliding mode control --- basinI --- basinII --- mean pressure head --- pressure head with different probabilities of occurrence --- standard deviation of the pressure fluctuations --- statistical modeling --- USBR --- desalination --- humidification-dehumidification --- waste heat recovery --- mathematical model --- yearly analysis --- thermo-economics --- multi-objective optimization --- cruise altitude --- fuel consumption --- time to climb --- Hermite-Simpson method --- trajectory optimization --- terminal residual analysis (TRA) --- m-σ terminal residual analysis (m-σ TRA) --- power transformer --- stray losses --- analytical methods --- finite element method --- gridshell structures --- shape ratio --- length ratio --- regularity --- particle swarm optimization --- genetic algorithm --- hybrid nanofluid --- dual solutions --- mixed convection --- stagnation point --- radiation --- stability analysis --- machine learning --- eXterme Gradient Boosting --- Computation Fluid Dynamics --- blade vibration --- unsteady aerodynamic model --- active disturbance rejection control (ADRC) --- multiobjective optimization --- time delay systems --- tuning rules --- soft robotics --- fractional calculus --- CACSD toolbox --- operating point linearization --- automatic uncertainty bound computation --- Model-in-the-Loop simulation --- hybrid simulation --- ℋ∞ control --- μ synthesis --- DC-to-DC power converters --- buck --- boost --- SEPIC --- rainfall-runoff model --- curve number --- inferential statistics --- 3D runoff difference model --- model calibration --- PAT model --- modified affinity laws --- hydraulic simulation tool --- μ-synthesis --- fractional-order control --- swarm optimization --- artificial bee colony optimization --- CNC machine --- mixed sensitivity --- D–K iteration --- Linear Matrix Inequality --- biotechnology --- fermentation process --- batch bioreactors --- modeling --- control system design and synthesis --- linear control --- adaptive control --- model reference adaptive control --- control system realization --- mixed-sensitivity --- FO-PID --- twin rotor aerodynamic system