Helicity in dispersive continuum mechanics

Autor:	Gavrilyuk, S, Gouin, H
Přispěvatelé:	Aix Marseille Université (AMU), Institut universitaire des systèmes thermiques industriels (IUSTI), Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS)
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] Dispersive fluid mechanics [SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph] bubbly fluids capillary fluids Serre-Green-Naghdi equations
Popis:	New conservation laws are obtained for the equations of dispersive continuum mechanics describing Euler-van der Waals-Korteweg's fluids, fluids containing small gas bubbles, and long-free surface gravity waves (Serre-Green-Naghdi equations). The corresponding mathematical models are characterized by the dependence of the energy on spatial and temporal derivatives of the density. In particular, analogs of helicity invariants are deduced.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=od______3430::b64fcef9b96503c8f97a8d75235a1891 https://hal.science/hal-03867002 Zobrazit plný text záznamu