Cover Image

Novel Self-similar Finite-time Blowups with Singular Profiles of the 1D Hou-Luo Model and the 2D Boussinesq Equations: A Numerical Investigation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Chen, Bojin, Huang, De, Li, Xiangyuan
Format:	Preprint
Published:	2026
Subjects:	Analysis of PDEs Numerical Analysis 35A21, 35Q31, 35Q35
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Self-similar instability and forced nonuniqueness: an application to the 2D Euler equations
by: Dolce, Michele, et al.
Published: (2024)

Exact self-similar finite-time blowup of the Hou-Luo model with smooth profiles
by: Huang, De, et al.
Published: (2023)

Small scale formation for the 2D Boussinesq equation
by: Kiselev, Alexander, et al.
Published: (2022)

Vanishing viscosity non-unique solutions to the forced 2D Euler Equations
by: Albritton, Dallas, et al.
Published: (2025)

Strong Convergence of Vorticities in the 2D Viscosity Limit on a Bounded Domain
by: Seis, Christian, et al.
Published: (2024)

Finite-time blowup for the Fourier-restricted Euler and hypodissipative Navier-Stokes model equations
by: Miller, Evan
Published: (2023)

Vortex atmospheres of traveling vortices: rigorous definition, existence, and topological classification
by: Choi, Kyudong, et al.
Published: (2025)

Multi-scale self-similar finite-time blowups of the Constantin-Lax-Majda model for the 3D Euler equations
by: Huang, De, et al.
Published: (2024)

Singularidades para as soluções das Equações de Navier-Stokes and Euler e o Problema do Milênio
by: Filho, Milton C. Lopes, et al.
Published: (2025)

Electric inertia and ideal magnetic reconnection in 2D
by: Constantin, Peter, et al.
Published: (2026)

Nonradial linear stability of liquid Lane-Emden stars
by: Lam, King Ming
Published: (2026)

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

2D Navier-Stokes with Navier Slip: Strong Vorticity Convergence and Strong Solutions for Unbounded Vorticity
by: Demmel, Josef, 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)

Smooth nonradial stationary Euler flows on the plane with compact support
by: Enciso, Alberto, et al.
Published: (2024)

A conditional Lagrangian clock barrier at the $C^{1,\frac{1}{3}}$ threshold for axisymmetric Euler without swirl
by: Avadanei, Ovidiu-Neculai
Published: (2026)

Finite-time blowup for the infinite dimensional vorticity equation
by: Miller, Evan
Published: (2025)

On putative self-similarity for incompressible 3D Euler
by: Constantin, Peter, et al.
Published: (2026)

The "good" Boussinesq equation on the half-line with Robin boundary conditions
by: Agarwal, Shivani, et al.
Published: (2026)

An analysis of the 2-D isentropic Euler Equations for a generalized polytropic gas law
by: Mello, Talita, et al.
Published: (2025)

Large discretely self-similar solutions to Oberbeck-Boussinesq system with Newtonian gravitational field
by: Tsai, Tai-Peng
Published: (2024)

The nonlinear Schrödinger equation with combined nonlinearities in 1D
by: Riaño, Oscar, et al.
Published: (2026)

Self-similar finite-time blowups with smooth profiles of the generalized Constantin-Lax-Majda model
by: Huang, De, et al.
Published: (2023)

Nonradial stability of expanding Goldreich-Weber stars
by: Hadžić, Mahir, et al.
Published: (2022)

Lagrangian aspects of Yudovich theory for 2D Euler
by: Drivas, Theodore D., et al.
Published: (2025)

Blow-up criteria for the 1D NLS with combined nonlinearities
by: Rodriguez, Alex D
Published: (2026)

Self-similar solutions for the generalized fractional Korteweg-de Vries equation
by: Molinet, Luc, et al.
Published: (2024)

Maximal Double-Exponential Growth for the Euler Equation on the Half-Plane
by: Zlatos, Andrej
Published: (2025)

Unique continuation for water waves and dispersive multiplier equations
by: Kirkeby, Adrian
Published: (2024)

Self-similar finite-time blowups with singular profiles of the generalized Constantin-Lax-Majda model: theoretical and numerical investigations
by: Huang, De, et al.
Published: (2026)

Instability of Data-to-Solution Map for the Log-Regularized 2D Euler System
by: Vu, Xuan-Truong
Published: (2024)

Compactly supported anomalous weak solutions for 2D Euler equations with vorticity in Hardy spaces
by: Buck, Miriam, et al.
Published: (2024)

Small scale creation of the Lagrangian flow in 2d perfect fluids
by: Said, Ayman Rimah
Published: (2024)

Linear Test Approach to Global Controllability of Higher-Order Nonlinear Dispersive Equations with Finite-Dimensional Control
by: Mondal, Debanjit
Published: (2025)

Quantitative estimates for the forced Navier-Stokes equations and applications
by: Barker, Tobias, et al.
Published: (2026)

Incompressible Euler equations in 3D bounded domains in a critical space
by: Iwabuchi, Tsukasa, et al.
Published: (2026)

Vanishing viscosity limit to the planar rarefaction wave with vacuum for 3-D full compressible Navier-Stokes equations with temperature-dependent transport coefficients
by: Hou, Meichen, et al.
Published: (2023)

Long-time behavior of an Arc-shaped Vortex Filament and its Application to the Stability of a Circular Vortex Filament
by: Aiki, Masashi
Published: (2024)

The helicity distribution for the 3D incompressible Euler equations
by: Inversi, Marco, et al.
Published: (2024)

Incompressible Euler Blowup at the $C^{1,\frac{1}{3}}$ Threshold
by: Shkoller, Steve
Published: (2026)