Singular solutions to equations of fluid mechanics and dynamics near a Hurricane's eye

DOI10.1007/978-3-030-87502-2_38OpenAlexW3043737381MaRDI QIDQ6196697

Maximilian F. Hasler

Publication date: 15 March 2024

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-87502-2_38

zbMATH Keywords

Navier-Stokes equationssingular solutionsHurricane's eye

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Analyticity in context of PDEs (35A20) Meteorology and atmospheric physics (86A10) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Cites Work

• Unnamed Item
• Unnamed Item
• Algebras of the singularities of singular solutions to first-order quasi-linear strictly hyperbolic systems
• Hugoniot-Maslov chains for solitary vortices of the shallow water equations. II: The analysis of solutions of the truncated chain and an approximate description of possible trajectories of mesoscale vortices (typhoons).
• Proof of Maslov's conjecture about the structure of weak point singular solutions of the shallow water equations.
• Topology on asymptotic algebras of generalized functions and applications
• Colombeau's generalized functions: Topological structures, microlocal properties - a simplified point of view - part II
• Asymptotic extension of topological modules and algebras

This page was built for publication: Singular solutions to equations of fluid mechanics and dynamics near a Hurricane's eye