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New Trends in Differential and Difference Equations and Applications

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ISBN: 9783039215386 9783039215393 Year: Pages: 198 DOI: 10.3390/books978-3-03921-539-3 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Mathematics
Added to DOAB on : 2019-12-09 11:49:15
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Abstract

This Special Issue aims to be a compilation of new results in the areas of differential and difference Equations, covering boundary value problems, systems of differential and difference equations, as well as analytical and numerical methods. The objective is to provide an overview of techniques used in these different areas and to emphasize their applicability to real-life phenomena, by the inclusion of examples. These examples not only clarify the theoretical results presented, but also provide insight on how to apply, for future works, the techniques used.

Keywords

Legendre wavelets --- collocation method --- three-step Taylor method --- asymptotic stability --- time-dependent partial differential equations --- non-instantaneous impulses --- Caputo fractional derivative --- differential equations --- state dependent delays --- lipschitz stability --- limit-periodic solutions --- difference equations --- exponential dichotomy --- strong nonlinearities --- effective existence criteria --- population dynamics --- discrete Lyapunov equation --- difference equations --- Hilbert space --- dichotomy --- exponential stability --- ?-Laplacian operator --- mean curvature operator --- heteroclinic solutions --- problems in the real line --- lower and upper solutions --- Nagumo condition on the real line --- fixed point theory --- coupled nonlinear systems --- functional boundary conditions --- Schauder’s fixed point theory --- Arzèla Ascoli theorem --- lower and upper solutions --- first order periodic systems --- SIRS epidemic model --- mathematical modelling --- Navier–Stokes equations --- global solutions --- regular solutions --- a priori estimates --- weak solutions --- kinetic energy --- dissipation --- Bäcklund transformation --- Clairin’s method --- generalized Liouville equation --- Miura transformation --- Korteweg-de Vries equation --- second-order differential/difference/q-difference equation of hypergeometric type --- non-uniform lattices --- divided-difference equations --- polynomial solution --- integro-differentials --- Sumudu decomposition method --- dynamical system

Advances in Experimental and Computational Rheology

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ISBN: 9783039213337 9783039213344 Year: Pages: 224 DOI: 10.3390/books978-3-03921-334-4 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General)
Added to DOAB on : 2019-12-09 16:10:12
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Rheology, defined as the science of deformation and flow of matter, is a multidisciplinary scientific field, covering both fundamental and applied approaches. The study of rheology includes both experimental and computational methods, which are not mutually exclusive. Its practical importance embraces many processes, from daily life, like preparing mayonnaise or spread an ointment or shampooing, to industrial processes like polymer processing and oil extraction, among several others. Practical applications include also formulations and product development. This Special Issue aims to present the latest advances in the fields of experimental and computational rheology applied to the most diverse classes of materials (foods, cosmetics, pharmaceuticals, polymers and biopolymers, multiphasic systems and composites) and processes. This Special Issue will comprise, not only original research papers, but also review articles.

Multiscale Turbulent Transport

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ISBN: 9783039282128 9783039282135 Year: Pages: 210 DOI: 10.3390/books978-3-03928-213-5 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General) --- General and Civil Engineering
Added to DOAB on : 2020-04-07 23:07:08
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Turbulent transport is currently a prominent and ongoing investigation subject at the interface of methodologies from theory to numerical simulations and experiments, and it covers several spatiotemporal scales. Mathematical analysis, physical modelling, and engineering applications represent different facets of a classical, long-standing problem that is still far from being thoroughly comprehended. The goal of this Special Issue is to outline recent advances of such subjects as multiscale analysis in turbulent transport processes, Lagrangian and Eulerian descriptions of turbulence, advection of particles and fields in turbulent flows, ideal or nonideal turbulence (unstationary/inhomogeneous/anisotropic/compressible), turbulent flows in biofluid mechanics and magnetohydrodynamics, and the control and optimization of turbulent transport. The SI is open to regular articles, review papers focused on the state of the art and the progress made over the last few years, and new research trends.

Dynamics of the Coastal Zone

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ISBN: 9783039284849 9783039284856 Year: Pages: 182 DOI: 10.3390/books978-3-03928-485-6 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General) --- General and Civil Engineering
Added to DOAB on : 2020-04-07 23:07:09
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The coastal zone is the host to many human activities, which have significantly increased in the last decades. However, sea level rise and more frequent storm events severely affect beaches and coastal structures, with negative consequences and dramatic impacts on coastal communities. These aspects add to typical coastal problems, like flooding and beach erosion, which already leading to large economic losses and human fatalities. Modeling is thus fundamental for an exhaustive understanding of the nearshore region in the present and future environment. Innovative tools and technologies may help to better understand coastal processes in terms of hydrodynamics, sediment transport, bed morphology, and their interaction with coastal structures. This book collects several contributions focusing on nearshore dynamics, and span among several time and spatial scales using both physical and numerical approaches. The aim is to describe the most recent advances in coastal dynamics.

Mathematical Modeling of Fluid Flow and Heat Transfer in Petroleum Industries and Geothermal Applications

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ISBN: 9783039287208 / 9783039287215 Year: Pages: 470 DOI: 10.3390/books978-3-03928-721-5 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General) --- General and Civil Engineering
Added to DOAB on : 2020-06-09 16:38:57
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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.

Keywords

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

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