Article
Ecology
Alec Torres-Freyermuth, Eduardo Lopez-Ramade, Gabriela Medellin, Jaime A. Arriaga, Gemma L. Franklin, Paulo Salles, Abigail Uribe, Christian M. Appendini
Summary: Coastal erosion is a critical issue along the northern Yucatan Peninsula, mainly caused by human settlements and coastal structures. Studies on the shoreline changes in the region revealed that erosion occurred in 50% of the analyzed areas, while only 30% experienced beach accretion. Additionally, sand waves and high-incidence angle waves played a significant role in the shoreline dynamics.
REGIONAL STUDIES IN MARINE SCIENCE
(2023)
Article
Mathematics
Biswajit Basu, Florian Kogelbauer
Summary: Using a novel formulation based on flow force, the study proves the existence of a global continuum of periodic traveling wave solutions to the irrotational water wave problem in finite depth. These global solutions exhibit the characteristic features of large amplitude irrotational water waves and are suitable for numerical studies on water waves.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2021)
Article
Multidisciplinary Sciences
R. Omira, R. S. Ramalho, J. Kim, P. J. Gonzalez, U. Kadri, J. M. Miranda, F. Carrilho, M. A. Baptista
Summary: Volcanoes can generate tsunamis through various mechanisms, with violent volcanic explosions having the potential to cause global tsunamis. The eruption of the Hunga Tonga-Hunga Ha'apai volcano and the resulting tsunami provide a unique opportunity to study the role of air-water coupling processes in tsunami generation and propagation. The study reveals that the tsunami was driven by a constantly moving source, with acoustic-gravity waves exciting the ocean and transferring energy through resonance. The coupling mechanism leads to higher waves along land masses that abruptly rise from deep ocean waters.
Article
Environmental Sciences
Jessica S. Turner, Pierre St-Laurent, Marjorie A. M. Friedrichs, Carl T. Friedrichs
Summary: Shoreline erosion plays a significant role in influencing water clarity and primary production in estuaries and coastal waters. Decreased erosional sediment inputs and reduced rates of resuspension due to shoreline armoring result in improved water clarity by decreasing inorganic particle concentrations and relaxing light limitation, subsequently increasing organic matter production. The spatial extent of the incongruous water clarity effect, defined as an Organic log Zone, occurs in mid-estuary regions and varies in different years and under different shoreline conditions.
SCIENCE OF THE TOTAL ENVIRONMENT
(2021)
Article
Mechanics
Clint Y. H. Wong, Aggelos S. Dimakopoulos, Philippe H. Trinh, S. Jonathan Chapman
Summary: This study develops a multiple-scales asymptotic framework to analyze the flow of free-surface waves over vegetative structures. It quantifies the balance between the effects of vegetation and shoaling and predicts the amplitude of the wave near a coastline.
JOURNAL OF FLUID MECHANICS
(2022)
Article
Mechanics
Wladimir Sarlin, Cyprien Morize, Alban Sauret, Philippe Gondret
Summary: The study experimentally characterizes waves generated by the gravity-driven collapse of a dry granular column into water, identifying three nonlinear wave regimes. This contributes to a better understanding of the rich hydrodynamics of the generated waves, with practical applications for coastal risk assessment.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Geosciences, Multidisciplinary
Takenori Shimozono
Summary: Tsunamis rarely occur in a specific area and their occurrence is highly uncertain, thus there is a need for novel and rigorous approaches to predict coastal amplification during different disaster management phases. The study presents convolution kernels that can predict onshore waveforms from offshore observed/simulated wave data, providing a low computational cost alternative to conventional numerical models.
NATURAL HAZARDS AND EARTH SYSTEM SCIENCES
(2021)
Article
Engineering, Civil
N. Kern, C. Chaubet, R. A. Kraenkel, M. A. Manna
Summary: The Miles' theory of wave amplification by wind has been extended to cases with finite depth and a shear flow with vorticity. Vorticity is characterized by a non-dimensional parameter. Growth rates are derived analytically from the dispersion relation and their dependence on water depth and vorticity is discussed. Vorticity can shift the maximum wave age and affect the growth coefficients according to the shear gradient in the water flow.
COASTAL ENGINEERING
(2021)
Article
Biochemical Research Methods
Anna M. Wisniowiecki, Brian E. Applegate
Summary: We have developed a novel method to extend the imaging range in optical coherence tomography using electronic frequency shifting. This method enables imaging in dynamic environments and achieves high contrast morphological imaging over a wide range of working distances, making it suitable for various applications.
BIOMEDICAL OPTICS EXPRESS
(2023)
Article
Mechanics
Kosuke Kanda, Taizo Maruyama
Summary: We investigated forced Lamb waves using the method of multiple scales and Green's function method. With the former method, we derived a solvability condition containing terms describing forced effects. With the latter method, we obtained the Green's function for the solvability condition, which is easier than solving the governing equations for Lamb waves. Finally, we obtained the amplitudes of the forced Lamb waves using the Green's function.
Article
Engineering, Marine
Xi Zhao, Zhiyuan Ren, Hua Liu
Summary: This paper studies the propagation of tsunami waves in linear shear flow with constant vorticity. The effects of vorticity on wave height, wavelength, wave deformation, and propagation speed are investigated using a numerical model. It is found that vorticity has significant impacts on these properties of tsunami waves.
Article
Mechanics
Yu Zhao, Bo Tian
Summary: This paper investigates the (2 + 1)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics and plasma physics. Gram-type solutions are derived using the bilinear Kadomtsev-Petviashvili hierarchy reduction method. Y-shaped breather solutions and two types of hybrid-wave solutions are constructed under different parameter conditions in the Gram-type solutions. The asymptotic forms of these solutions are given, and their interactions are studied by considering the influences of variable coefficients. Three types of hybrid-wave solutions are obtained, consisting of multiple breathers and solitons. The changes in the arrangement of breathers and solitons, as well as the processes of fission or fusion, are discussed and presented.
Article
Physics, Multidisciplinary
A. A. Abrashkin, E. N. Pelinovsky
Summary: This paper proposes a method to study stationary periodic weakly vortical waves on water and provides a complete problem solution in a cubic approximation. Explicit expressions for liquid particle trajectories and pressure are obtained, along with determining the quadratic correction to the wave velocity.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Mechanics
Yibin Liu, Hermann M. Fritz
Summary: This research utilizes a large three-dimensional wave basin to physically model tsunamis generated by underwater volcanic eruptions. A unique volcanic tsunami generator (VTG) is deployed at the bottom of the basin to generate volcanic tsunamis with repeatable source parameters under controlled conditions. The generated tsunamis exhibit smooth dome shapes and concentric vertical spikes, which can be categorized based on the dimensionless VTG parameters into smooth, rough, and splash spikes.
Article
Multidisciplinary Sciences
Valenti Sallares, Manel Prada, Sebastian Riquelme, Adria Melendez, Alcinoe Calahorrano, Ingo Grevemeyer, Cesar R. Ranero
Summary: This passage explains the mechanism of large earthquake ruptures causing tsunamis, suggesting that large slip on faults may be influenced by depth-dependent rock rigidity variations. By studying the rupture zone of the 1992 Nicaragua tsunami earthquake, a self-consistent model about the characteristics of tsunami earthquakes was obtained, which opens up new possibilities for improving tsunami hazard assessment.
Article
Physics, Mathematical
Adrian Constantin, Walter Strauss, Eugen Varvaruca
Summary: This study focuses on wave-current interactions in 2D water flows with constant vorticity, providing explicit uniform bounds for the amplitude of large-amplitude periodic downstream waves. Results indicate that the maximum amplitude of waves decreases significantly as vorticity approaches infinity. Additionally, it is proven that downstream waves on a global bifurcating branch do not overhang and have uniformly bounded mass flux and Bernoulli constant.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2021)
Article
Mathematics
A. Constantin, R. S. Johnson
Summary: This study derives a generic system of equations to describe the dynamics of the steady atmosphere based on well-defined approximation methods. The new system recovers classical models such as the Ekman, geostrophic and thermal-wind, and is used to present solutions for various atmospheric phenomena. It enables a detailed description of the velocity field and identification of heat sources necessary to maintain motion.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2021)
Article
Mechanics
Vikas S. Krishnamurthy, Miles H. Wheeler, Darren G. Crowdy, Adrian Constantin
Summary: A new class of exact solutions to the steady, incompressible Euler equation on the plane is presented in this study, forming a theoretical structure known as a Liouville chain. The solutions consist of a set of stationary point vortices embedded in a background sea of Liouville-type vorticity, with parameters leading to the development of new pure point vortex equilibria. The study demonstrates the existence of hybrid equilibria that can have finite or infinite links in the Liouville chain.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Multidisciplinary Sciences
Adrian Constantin, Robin S. Johnson
Summary: By using a systematic asymptotic approach, the leading-order equations governing the unsteady dynamics of large-scale atmospheric motions were derived, with models chosen based on specific properties of atmospheric flows. This work presents solutions capturing various types of waves and jet streams, aiming to demonstrate the benefits of a systematic analysis based on fluid dynamics governing equations.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2021)
Article
Astronomy & Astrophysics
Adrian Constantin
Summary: The study relies on the f-plane approximation to derive nonlinear governing equations for arctic wind-drift flow in regions outside the North Pole. An exact solution is obtained within the Lagrangian framework, aiding in the accurate description of particle paths and facilitating the identification of oscillations superimposed on a mean spiralling Ekman current.
GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS
(2022)
Article
Mathematics, Applied
A. Constantin, P. Germain
Summary: This article focuses on stationary solutions of Euler's equation on a rotating sphere and their implications for the dynamics of stratospheric flows in the outer planets of our solar system and polar regions of the Earth. It establishes rigidity results for the solutions and investigates the stability properties of critical stationary solutions, including Rossby-Haurwitz stationary solutions.
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
(2022)
Editorial Material
Astronomy & Astrophysics
Adrian Constantin
Summary: In this study, we clarify and correct an oversight from a recent paper, confirming the possibility of a nonlinear coupling between inertial oscillations and Ekman-type spiralling wind-drift currents. This coupling yields an exact solution for the leading-order dynamics of wind-drift arctic flows.
GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS
(2022)
Article
Multidisciplinary Sciences
A. Constantin, R. S. Johnson
Summary: This paper derives the leading-order equations for nonlinear wave propagation in the troposphere using asymptotic methods. It introduces a new nonlinear propagation equation and examines it in detail, providing exact solutions that describe breezes, bores, and oscillatory motion.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2022)
Article
Mathematics
A. Constantin
Summary: By taking a convex combination of the Nagumo and Osgood growth conditions, the uniqueness of the solution to the initial-value problem for the associated ordinary differential equation is ensured. Furthermore, this unique solution can be obtained as the uniform limit of the sequence of successive approximations.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2023)
Article
Physics, Multidisciplinary
Adrian Constantin
Summary: This study provides an exact solution to the nonlinear governing equations for mountain waves in the material (Lagrangian) framework. The explicit specification of the individual particle paths allows for a detailed analysis of the flow, which consists of oscillations superimposed on a mean current propagating upwards.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2023)
Article
Mathematics
A. Constantin, R. S. Johnson
Summary: We demonstrate that the recently-derived atmospheric model for nonlinear wave propagation allows for undular bores as solutions. These solutions depict waves with a damped oscillation following a uniform breeze flow. The generation of such wave profiles stems from a jump in heat source across the leading wave front, which aligns with observations.
MATHEMATISCHE ANNALEN
(2023)
Article
Physics, Mathematical
Adrian Constantin, Luc Molinet
Summary: This paper studies the Cauchy problem of a nonlinear nonlocal evolution equation in oceanic flows in equatorial regions. We present a well-posedness result and demonstrate that some initial data lead to solutions that exist for all times, while others result in blow-up in finite time.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2023)
Article
Astronomy & Astrophysics
Adrian Constantin
Summary: This study derives the nonlinear governing equations for stratified circumpolar atmospheric jet flow in Saturn's upper troposphere and obtains an exact solution in the material (Lagrangian) framework by specifying its hypotrochoidal particle paths. The resulting flow pattern exhibits a striking resemblance to the hexagonal jet stream structure observed near Saturn's North Pole.
GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS
(2023)
Article
Mathematics, Applied
A. Constantin, R. S. Johnson
Summary: Starting from the Navier-Stokes equation combined with the equation of state, a general description of the near-surface flow in the Arctic Ocean and the atmosphere above it is developed. The wind is described using the properties of the Prandtl layer and the atmospheric boundary layer, with observations about the geostrophic flow higher in the troposphere. The equations for the ocean, with a suitable surface wind, are used to model the Beaufort Gyre and the Transpolar Drift.
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
(2023)
Article
Mathematics, Applied
Adrian Constantin, Darren G. Crowdy, Vikas S. Krishnamurthy, Miles H. Wheeler
Summary: Stuart vortices are explicit solutions of the planar Euler equations with a nonlinear vorticity, and can model inviscid flow on the surface of a fixed sphere. Investigating Stuart vortices on a fixed sphere provides insight into the dynamics of large-scale zonal flows on a rotating sphere that model the background flow of polar vortices. The approach takes advantage of the fact that on a spinning sphere, every point has the same angular velocity but different tangential velocities.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
(2021)