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Nonlinear wave phenomena such as stop-and-go traffic patterns are widely observed in vehicular flow but remain challenging to describe within a rigorous mathematical framework. Motivated by this, we investigate nonlinear wave structures in…

Dynamical Systems · Mathematics 2026-05-18 Kota Ikeda , Tomoyuki Miyaji

The Kelvin-Helmholtz instability is a ubiquitous physical process in ordinary fluids and plasmas, frequently observed also in space environments. In this paper, kinetic effects at proton scales in the nonlinear and turbulent stage of the…

Space Physics · Physics 2023-07-12 A. Settino , F. Malara , O. Pezzi , M. Onofri , D. Perrone , F. Valentini

The nonlinear evolution of collisionless plasmas is typically a multi-scale process where the energy is injected at large, fluid scales and dissipated at small, kinetic scales. Accurately modelling the global evolution requires to take into…

Cartesian-grid methods in combination with immersed-body and volume-of-fluid methods are ideally suited for simulating breaking waves around ships. A surface panelization of the ship hull is used as input to impose body-boundary conditions…

The K-condition introduced by Shizuta and Kawashima provides a sufficient criterion for the global existence of smooth solutions to dissipative hyperbolic systems. For genuinely nonlinear characteristic fields, a weaker K-condition becomes…

Mathematical Physics · Physics 2026-02-16 Tommaso Ruggeri

Due to the high computational load of modern numerical simulation, there is a demand for approaches that would reduce the size of discrete problems while keeping the accuracy reasonable. In this work, we present an original algorithm to…

Machine Learning · Computer Science 2025-07-25 Sergei Shumilin , Alexander Ryabov , Nikolay Yavich , Evgeny Burnaev , Vladimir Vanovskiy

This paper deals with the numerical modeling of transient mechanical waves in linear viscoelastic solids. Dissipation mechanisms are described using the generalized Zener model. No time convolutions are required thanks to the introduction…

Classical Physics · Physics 2015-05-20 Bruno Lombard , Joël Piraux

With the increase in computational capabilities over the last years it becomes possible to simulate more and more complex and accurate physical models. Gyrokinetic theory has been introduced in the 1960s and 1970s in the need of describing…

Plasma Physics · Physics 2024-02-12 Mario Raeth , Klaus Hallatschek , Katharina Kormann

In this Letter, weak turbulence theory is used to investigate interactions among Alfven waves and fast and slow magnetosonic waves in collisionless low-beta plasmas. The wave kinetic equations are derived from the equations of…

Astrophysics · Physics 2009-11-13 Benjamin D. G. Chandran

Validity of fluid models breaks down for non-thermal or weakly collisional plasmas which often occur e.g. in the solar wind. In these regimes one has to resort to modelling through the first-principle Vlasov-Maxwell system, but its…

Plasma Physics · Physics 2025-12-01 Rostislav-Paul Wilhelm , Fabio Bacchini

Weakly ionized plasmas can be found in the lower layers of the solar and stellar atmospheres and in structures such as prominences and spicules. A variety of density perturbations and bulk flows detected in these environments have been…

Plasma Physics · Physics 2026-05-29 David Martínez-Gómez

We investigate models for nonlinear ultrasound propagation in soft biological tissue based on the one that serves as the core for the software package k-Wave. The systems are solved for the acoustic particle velocity, mass density, and…

Analysis of PDEs · Mathematics 2024-06-03 Ben Cox , Barbara Kaltenbacher , Vanja Nikolić , Felix Lucka

Energy dissipation and particle acceleration in the collisionless magnetotail plasma remain incompletely understood. While Kinetic Alfv\'en Waves (KAWs) are widely hypothesized to mediate these processes, observational characterization of…

Plasma Physics · Physics 2026-03-10 Mani K Chettri , Hemam D. Singh , Rupak Mukherjee

Positive and negative ions forming so-called pair plasma differing in sign of their charge and asymmetric in mass and temperature support a new electrostatic mode. Bernstein mode for a pair ions and pair ions with contribution of electrons…

Plasma Physics · Physics 2018-04-26 Waseem Khan , Zahida Ehsan , Muddasir Ali

Variational algorithms are a promising paradigm for utilizing near-term quantum devices for modeling electronic states of molecular systems. However, previous bounds on the measurement time required have suggested that the application of…

A kinetic theory for electromagnetic ion waves in a cold relativistic plasma is derived. The kinetic equation for the broadband electromagnetic ion waves is coupled to the slow density response via an acoustic equation driven by…

Plasma Physics · Physics 2007-05-23 M. Marklund , P. K. Shukla

We consider the simplest instabilities involving multiple unstable electrostatic plasma waves corresponding to four-dimensional systems of mode amplitude equations. In each case the coupled amplitude equations are derived up to third order…

patt-sol · Physics 2009-10-30 John David Crawford , Edgar Knobloch

Considering the importance of correctly understanding the dynamics of microstructure materials for their applications in related technologies, by eliminating the shortcomings and some overlooked physical concepts in the existing asymmetric…

Classical Physics · Physics 2024-05-28 Maysam Yousefian , Mehrdad Farhoudi

By considering the continuity, Navier-Stoks and Poisson's equations in a non-relativistic frame work for plasmas, we study the behavior of small amplitude ion acoustic solitary waves in plasmas under the influence of a varying magnetic…

Plasma Physics · Physics 2020-01-08 H. R. Pakzad , P. Eslami , K. Javidan

Electron acoustic waves (EAWs) are nonlinear plasma modes characterized by electron trapping, which suppresses the usual Landau damping. Despite being predicted in the 1990s, their excitation and decay mechanisms remain a subject of active…

Plasma Physics · Physics 2025-03-24 F. Valentini , T. M. O'Neil , D. H. Dubin