Cover Image

2D inviscid Boussinesq equations and 3D axisymmetric Euler equations: (1) A unification ($Em$), (2) Finite-time blow-up of two unified $(1+1)$D systems rigorously derived from ($Em$)

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Shi, Yaoming
Format:	Preprint
Published:	2026
Subjects:	Analysis of PDEs Exactly Solvable and Integrable Systems Fluid Dynamics Primary 35B44, 35Q86, 76B03, Secondary 35B35, 35Q35
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Finite-time blow-up of two $(1+1)$D systems rigorously derived from the 3D axisymmetric Euler equations
by: Shi, Yaoming
Published: (2026)

Hamiltonian models for the propagation of long gravity waves, higher-order KdV-type equations and integrability
by: Ivanov, Rossen I.
Published: (2024)

Long-time stability of a stably stratified rest state in the inviscid 2D Boussinesq equation
by: Jurja, Catalina, et al.
Published: (2024)

A unified Boussinesq--Euler formulation and finite-time blow-up for a Hou--Luo type boundary-jet system
by: Shi, Yaoming
Published: (2026)

Modulational Instability of Small Amplitude Periodic Traveling Waves in the Novikov Equation
by: Ehrman, Brett, et al.
Published: (2024)

The effect of linear stratification on the stability of a rest state in the 2D inviscid Boussinesq system
by: Jurja, Catalina, et al.
Published: (2025)

Stability of 2-soliton solutions for the modified Camassa-Holm equation with cubic nonlinearity
by: Deng, Xijun, et al.
Published: (2025)

The negative symmetry classification problem
by: Kolesnikov, M. P.
Published: (2025)

Spectral and linear stability of peakons in the Novikov equation
by: Lafortune, Stéphane
Published: (2023)

Spectral instability of peakons for the $b$-family of Novikov equations
by: Deng, Xijun, et al.
Published: (2024)

Orbital stability of smooth solitary waves for the modified Camassa-Holm equation
by: Deng, Xijun, et al.
Published: (2024)

Higher-order integrable models for oceanic internal wave-current interactions
by: Henry, David, et al.
Published: (2024)

Propagation of logarithmic regularity and inviscid limit for the 2D Euler equations
by: Ciampa, Gennaro, et al.
Published: (2024)

A revisit of patch solutions for the 2D Loglog-Euler type equation
by: Tan, Changhui, et al.
Published: (2025)

On a class of exact solutions of the Ishimori equation
by: Garifullin, Rustem N., et al.
Published: (2024)

Global well-posedness of the 2D primitive equations with fractional horizontal dissipation
by: Tan, Changhui, et al.
Published: (2025)

On the Moutard transformation singularity for the Davey--Stewartson II equation
by: Huang, Yi C.
Published: (2025)

Asymptotic study of supercritical generalized SQG equations in critical Sobolev spaces
by: Kumar, Anuj
Published: (2026)

On well-posedness of a mildly dissipative family of active scalar equations in borderline Sobolev spaces
by: Kumar, Anuj, et al.
Published: (2023)

Lie symmetries, conservation laws and exact solutions of a generalized quasilinear KdV equation with degenerate dispersion
by: Bruzón, María de los Santos, et al.
Published: (2024)

Transverse linear stability of line solitons for 2D Toda
by: Mizumachi, Tetsu
Published: (2025)

On the proximal dynamics between integrable and non-integrable members of a generalized Korteweg-de Vries family of equations
by: Karachalios, Nikos I., et al.
Published: (2025)

Master symmetries of non-linear systems
by: Serwa, Nitin
Published: (2024)

Classification of finite-time blow-up of strong solutions to the incompressible free boundary Euler equations with surface tension
by: Hao, Chengchun, et al.
Published: (2025)

Long-time existence for the 2D ideal Boussinesq and the 2D density-dependent Euler equations
by: Bae, Hantaek, et al.
Published: (2025)

Nonlinear steepest descent on a torus: A case study of the Landau-Lifshitz equation
by: Desiraju, Harini, et al.
Published: (2024)

Approximation of the thermodynamic limit of finite-gap solutions of the focusing NLS hierarchy by multisoliton solutions
by: Jenkins, Robert, et al.
Published: (2024)

Orbital Stability of Smooth Traveling Solitary Waves to the Fornberg-Whitham Equation
by: Deng, Xijun, et al.
Published: (2026)

Suleimanov-Talanov self-focusing and the hierarchy of the focusing nonlinear Schrödinger equation
by: Buckingham, Robert J., et al.
Published: (2025)

Finite time blow-up in a 1D model of the incompressible porous media equation
by: Kiselev, Alexander, et al.
Published: (2024)

Well-posedness and ill-posedness of the primitive equations with fractional horizontal dissipation
by: Abdo, Elie, et al.
Published: (2025)

Existence of nested polygonal vortex patches for the generalized SQG equation
by: Cuba, Edison, et al.
Published: (2025)

On the non-chiral intermediate long wave equation
by: Berntson, Bjorn K., et al.
Published: (2020)

Global smooth solution for the 3D generalized tropical climate model with partial viscosity and damping
by: Liu, Hui, et al.
Published: (2023)

On symmetries of the Gibbons-Tsarev equation
by: Baran, H., et al.
Published: (2018)

Miura transformation in bidifferential calculus and a vectorial Darboux transformation for the Fokas-Lenells equation
by: Müller-Hoissen, Folkert, et al.
Published: (2025)

Conservation and Breakdown of Modulus of Continuity in the Propagation of Loglog Vortex for 2D Euler equation
by: Jeon, Woohyu
Published: (2023)

Traveling waves near Poiseuille flow for the 2D Euler equation
by: Castro, Ángel, et al.
Published: (2024)

The tau functions of the constrained CKP hierarchy
by: Chen, Danqi, et al.
Published: (2026)

Global well-posedness and stability of the 2D Boussinesq equations with partial dissipation near a hydrostatic equilibrium
by: Kang, Kyungkeun, et al.
Published: (2023)