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Transformation of spatial and perturbation derivatives of travel time at a curved interface between two arbitrary media
We consider the partial derivatives of travel time with respect to both spatial coordinates and perturbation parameters. These derivatives are very...
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Overview of Weather and Climate Systems
Weather and climate phenomena develop as part of the coupled ocean-atmosphere-land-ice system. To understand the nature of the coupled system and its... -
Efficient parameter estimation for a methane hydrate model with active subspaces
Methane gas hydrates have increasingly become a topic of interest because of their potential as a future energy resource. There are significant...
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Simulation of breaking waves using the high-order spectral method with laboratory experiments: wave-breaking energy dissipation
We examine the implementation of a wave-breaking mechanism into a nonlinear potential flow solver. The success of the mechanism will be studied by...
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Prevailing-frequency approximation of the coupling ray theory for electromagnetic waves or elastic S waves
The coupling–ray–theory tensor Green function for electromagnetic waves or elastic S waves is frequency dependent, and is usually calculated for many...
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Path planning in uncertain flow fields using ensemble method
An ensemble-based approach is developed to conduct optimal path planning in unsteady ocean currents under uncertainty. We focus our attention on...
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Ab Initio Modelling of the Structure and Properties of Crystalline Calcium Carbonate
Many biominerals occur as crystalline materials, and their formation often involves steps where metastable crystalline phases appear. The latter can... -
Creation and Decay of a Hierarchic Body System by Centrifugal Effects of the Potential Field Energy Interaction
All small and large celestial bodies appear to present some clots of energy in the form of condensed discrete infinitesimal particles. In this case,... -
Derivation of Unified Jacobi’s Equation for Different Types of Physical Interactions
In this chapter, we derive a universal Jacobi’s virial equation for description of the gravitation and dynamics of natural systems. It is derived... -
Inversion of Lattice Network Structure Subjected to Carbonate Mercury Intrusion Capillary Pressure: Hamiltonian Monte Carlo Posterior Sampling
The wide range of pore sizes in carbonates (differences of three to five orders of magnitude) aggravates the already difficult problem of multiple...
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Analytical Reduced Models for the Non-stationary Diabatic Atmospheric Boundary Layer
Geophysical boundary-layer flows feature complex dynamics that often evolve with time; however, most current knowledge centres on the steady-state...
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Hybrid three-scale model for evolving pore-scale geometries
We consider flow and upscaling of flow properties from pore scale to Darcy scale, when the pore-scale geometry is changing. The idea is to avoid...
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Integral bubble and jet models with pressure forces
Modifications of integral bubble and jet models including the pressure force are proposed. Exact solutions are found for the modified model of a...
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Trophic and halieutic dynamics of grazer–predator fishes: harvesting optimal control policies for the environmental sustainability and bioeconomic cases
Interactions between trophic and halieutic populations, have often been ignored in most mathematical models that are interested in prey–predator...
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Precision of meshfree methods and application to forward modeling of two-dimensional electromagnetic sources
Meshfree method offers high accuracy and computational capability and constructs the shape function without relying on predefined elements. We...
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Hydrodynamic basis of formation of large-scale water circulation in the Caspian Sea: 2. Numerical calculations
The contributions of wind, water baroclinicity, and evaporation to the formation of water circulation over the depressions of the Middle and Southern...
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Rogue Waves in Higher Order Nonlinear Schrödinger Models
We discuss physical and statistical properties of rogue wave generation in deep water from the perspective of the focusing Nonlinear Schrödinger... -
Gravitation, Inertia and Weightlessness as the Centrifugal Effects of Interaction Energy of the n–Body System
Newton’s problem on the mutual attraction of two bodies, which depicts similar trajectories around their common centre of gravity and around each... -
Impact of moisture divergence on systematic errors in precipitation around the Tibetan Plateau in a general circulation model
Current state-of-the-art atmospheric general circulation models tend to strongly overestimate the amount of precipitation around steep mountains,...