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We consider a tsunami wave equation with singular coefficients and prove that it has a very weak solution. Moreover, we show the uniqueness results and consistency theorem of the very weak solution with the classical one in some appropriate…

Analysis of PDEs · Mathematics 2020-05-26 Arshyn Altybay , Michael Ruzhansky , Mohammed Elamine Sebih , Niyaz Tokmagambetov

Seismic tomography solves high-dimensional optimization problems to image subsurface structures of Earth. In this paper, we propose to use random batch methods to construct the gradient used for iterations in seismic tomography.…

Numerical Analysis · Mathematics 2023-02-14 Yixiao Hu , Lihui Chai , Zhongyi Huang , Xu Yang

Advances in remote sensing technologies have made it possible to use high-resolution visual data for weather observation and forecasting tasks. We propose the use of multi-layer neural networks for understanding complex atmospheric dynamics…

Neural and Evolutionary Computing · Computer Science 2017-11-30 Seungkyun Hong , Seongchan Kim , Minsu Joh , Sa-kwang Song

Aftershocks of aftershocks - and their aftershock cascades - substantially contribute to the increased seismicity rate and the associated elevated seismic hazard after the occurrence of a large earthquake. Current state-of-the-art…

Geophysics · Physics 2024-11-07 Leila Mizrahi , Dario Jozinović

When major disaster occurs the questions are raised how to estimate the damage in time to support the decision making process and relief efforts by local authorities or humanitarian teams. In this paper we consider the use of Machine…

Computer Vision and Pattern Recognition · Computer Science 2018-03-02 Alexey Trekin , German Novikov , Georgy Potapov , Vladimir Ignatiev , Evgeny Burnaev

Rapid and accurate building damage assessments from high-resolution satellite imagery following a natural disaster is essential to inform and optimize first responder efforts. However, performing such building damage assessments in an…

Computer Vision and Pattern Recognition · Computer Science 2023-08-28 Caleb Robinson , Simone Fobi Nsutezo , Anthony Ortiz , Tina Sederholm , Rahul Dodhia , Cameron Birge , Kasie Richards , Kris Pitcher , Paulo Duarte , Juan M. Lavista Ferres

We adopt the frozen Gaussian approximation (FGA) for modeling seismic waves. The method belongs to the category of ray-based beam methods. It decomposes seismic wavefield into a set of Gaussian functions and propagates these Gaussian…

Geophysics · Physics 2013-04-15 Xu Yang , Jianfeng Lu , Sergey Fomel

Dynamic response evaluation in structural engineering is the process of determining the response of a structure, such as member forces, node displacements, etc when subjected to dynamic loads such as earthquakes, wind, or impact. This is an…

Machine Learning · Computer Science 2023-08-21 Faisal Nissar Malik , James Ricles , Masoud Yari , Malik Arsala Nissar

Wind speed retrieval at sea surface is of primary importance for scientific and operational applications. Besides weather models, in-situ measurements and remote sensing technologies, especially satellite sensors, provide complementary…

Machine Learning · Computer Science 2022-08-19 Matteo Zambra , Dorian Cazau , Nicolas Farrugia , Alexandre Gensse , Sara Pensieri , Roberto Bozzano , Ronan Fablet

Tsunamis are often generated by a moving sea bottom. This paper deals with the case where the tsunami source is an earthquake. The linearized water-wave equations are solved analytically for various sea bottom motions. Numerical results…

Atmospheric and Oceanic Physics · Physics 2020-02-20 Denys Dutykh , Frédéric Dias

Irregularly sampled multivariate event streams remain a stubbornly difficult modality for generative modeling: tokenization-based approaches break down when inter-event intervals vary by orders of magnitude, and neural temporal point…

Machine Learning · Computer Science 2026-05-15 Mohammad R. Rezaei , Tejas Balaji , Rahul G. Krishnan

We consider two issues related to the 2011 Tohoku mega-earthquake: (1) what is the repeat time for the largest earthquakes in this area, and (2) what are the possibilities of numerical short-term forecasts during the 2011 earthquake…

Geophysics · Physics 2012-01-10 Yan Y. Kagan , David D. Jackson

A method is presented for determining the vertical direction relative to the axes of seismometers installed in seafloor observatories. The method is based on the linear relationship between the vertical component of seafloor acceleration…

Geophysics · Physics 2025-10-28 Oleg V. Ponomarev , Sergey V. Kolesov , Michail A. Nosov

Significant wave height is one of the most important parameters characterizing ocean waves, and accurate numerical ocean wave forecasting is crucial for coastal protection and shipping. However, due to the randomness and nonlinearity of the…

Atmospheric and Oceanic Physics · Physics 2023-12-01 Wei Zhang , Yu Sun , Yapeng Wu , Junyu Dong , Xiaojiang Song , Zhiyi Gao , Renbo Pang , Boyu Guoan

Accurate prediction over long time horizons is crucial for modeling complex physical processes such as wave propagation. Although deep neural networks show promise for real-time forecasting, they often struggle with accumulating phase and…

Machine Learning · Computer Science 2024-12-05 Indu Kant Deo , Rajeev Jaiman

Accurate prediction of typhoon trajectories is essential for mitigating the impact of these extreme weather events. This study proposes a functional data analysis (FDA) framework for modeling and forecasting typhoon paths using historical…

Applications · Statistics 2025-10-06 Jimin Kim

A convolutional encoder-decoder-based transformer model is proposed for autoregressively training on spatio-temporal data of turbulent flows. The prediction of future fluid flow fields is based on the previously predicted fluid flow field…

Fluid Dynamics · Physics 2023-03-31 Aakash Patil , Jonathan Viquerat , Elie Hachem

In the presented paper the possible methods of the large earthquake prediction are offered. During the study, it was used data of the INFREP (European Network of Electromagnetic Radiation) existent before earthquake. The elaborated methods…

In this paper, we analyze the predictability of the ocean currents using deep learning. More specifically, we apply the Long Short Term Memory (LSTM) deep learning network to a data set collected by the National Oceanic and Atmospheric…

Atmospheric and Oceanic Physics · Physics 2019-06-20 Cihan Bayindir

Traditional search and rescue methods in wilderness areas can be time-consuming and have limited coverage. Drones offer a faster and more flexible solution, but optimizing their search paths is crucial. This paper explores the use of deep…

Robotics · Computer Science 2025-02-06 Jan-Hendrik Ewers , David Anderson , Douglas Thomson