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Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations - MaRDI portal

Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations (Q2680309)

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English	Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations	scientific article

Statements

scholarly article

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Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations (English)

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Thomas Yizhao Hou

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publication date

28 December 2022

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full work available at URL

https://arxiv.org/abs/2106.05422

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zbMATH Keywords

3D Euler equations

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blowup solution

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Rigorous numerics for ill-posed PDEs: periodic orbits in the Boussinesq equation

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Infinite energy solutions of the surface quasi-geostrophic equation

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Global Smooth Solutions for the Inviscid SQG Equation

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Remarks on geometric properties of SQG sharp fronts and \(\alpha\)-patches

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Singularity formation and global Well-posedness for the generalized Constantin–Lax–Majda equation with dissipation

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Finite time blowup of 2D Boussinesq and 3D Euler equations with \(C^{1, \alpha}\) velocity and boundary

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Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations

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On the Finite Time Blowup of the De Gregorio Model for the 3D Euler Equations

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On the Finite‐Time Blowup of a One‐Dimensional Model for the Three‐Dimensional Axisymmetric Euler Equations

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Finite time blow up for a 1D model of 2D Boussinesq system

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On the Euler equations of incompressible fluids

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Geometric constraints on potentially

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A simple one‐dimensional model for the three‐dimensional vorticity equation

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Formation of singularities for a transport equation with nonlocal velocity

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Integral inequalities for the Hilbert transform applied to a nonlocal transport equation

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A note on stability shifting for the Muskat problem. II: From stable to unstable and back to stable

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On a one-dimensional model for the three-dimensional vorticity equation

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A Partial Differential Equation Arising in a 1D Model for the 3D Vorticity Equation

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Geometric Properties and Nonblowup of 3D Incompressible Euler Flow

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Finite-time singularity formation for \(C^{1,\alpha}\) solutions to the incompressible Euler equations on \(\mathbb{R}^3\)

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Stable self-similar blow-up for a family of nonlocal transport equations

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Finite-time singularity formation for strong solutions to the axi-symmetric \(3D\) Euler equations

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Finite-time singularity formation for strong solutions to the Boussinesq system

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Homotopy hyperbolic 3-manifolds are hyperbolic

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The three-dimensional Euler equations: Where do we stand?

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Computer-assisted proofs in PDE: a survey

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On turning waves for the inhomogeneous Muskat problem: a computer-assisted proof

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A proof of the Kepler conjecture

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Blowup with vorticity control for a 2D model of the Boussinesq equations

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Cusp formation for a nonlocal evolution equation

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Singular Solutions for Nonlocal Systems of Evolution Equations with Vorticity Stretching

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Blow-up or no blow-up? A unified computational and analytic approach to 3D incompressible Euler and Navier–Stokes equations

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Dynamic depletion of vortex stretching and non-blowup of the 3-D incompressible Euler equations

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Self-similar singularity of a 1D model for the 3D axisymmetric Euler equations

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On the de Gregorio modification of the Constantin-Lax-Majda model

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Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case

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Regularity and Blow up for Active Scalars

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Special issue editorial: Small scales and singularity formation in fluid dynamics

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Finite time singularity for the modified SQG patch equation

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Small scale creation for solutions of the incompressible two-dimensional Euler equation

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Finite time blow up in the hyperbolic Boussinesq system

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Blow-up of solutions for a 1D transport equation with nonlocal velocity and supercritical dissipation

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Toward the Finite-Time Blowup of the 3D Axisymmetric Euler Equations: A Numerical Investigation

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Potentially singular solutions of the 3D axisymmetric Euler equations

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Collapse versus blow-up and global existence in the generalized Constantin-Lax-Majda equation

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Vorticity and Incompressible Flow

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Blow up for the critical generalized Korteweg-de Vries equation. I: Dynamics near the soliton

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The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation

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Stability of the blow-up profile for equations of the type \(u_ t=\Delta u+| u| ^{p-1}u\)

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On the stability of the notion of non-characteristic point and blow-up profile for semilinear wave equations

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Introduction to Interval Analysis

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On a generalization of the Constantin–Lax–Majda equation

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Verification methods: Rigorous results using floating-point arithmetic

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Explicit solutions of the viscous model vorticity equation

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Obtuse Triangular Billiards II: One Hundred Degrees Worth of Periodic Trajectories

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On a transport equation with nonlocal drift

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S40818-022-00140-7

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Sitelinks

Mathematics(1 entry)

mardi Publication:2680309

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