Found 64 Documents (Results 1–64)
Leapfrogging Vortex rings for the three-dimensional incompressible Euler equations. (English) Zbl 07896919
Remarks on the smoothness of the \(C^{1,\alpha}\) asymptotically self-similar singularity in the 3D Euler and 2D Boussinesq equations. (English) Zbl 1541.35368
Numerical study on how advection delays and removes singularity formation in the Navier-Stokes equations. (English) Zbl 1541.35350
An improved regularity criterion and absence of splash-like singularities for G-SQG patches. (English) Zbl 1539.35189
On stability and instability of \(C^{1, \alpha}\) singular solutions to the 3D Euler and 2D Boussinesq equations. (English) Zbl 1541.35359
Singularity formation in the incompressible Euler equation in finite and infinite time. (English) Zbl 1532.35359
A direct proof of linear decay rate for Euler-Coriolis equations. (English) Zbl 1527.76004
MSC:
76B03
Removing rotated discretely self-similar singularity for the Euler equations. (English) Zbl 1527.35233
Potential singularity formation of incompressible axisymmetric Euler equations with degenerate viscosity coefficients. (English) Zbl 1514.35318
On 2D incompressible Boussinesq systems: global stabilization under dynamic boundary conditions. (English) Zbl 1516.35344
Global axisymmetric Euler flows with rotation. (English) Zbl 1512.35458
Reviewer: Zhuan Ye (Xuzhou)
Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations. (English) Zbl 1504.35247
On the singularity problem for the Euler equations. (English) Zbl 1499.35001
Kang, Nam-Gyu (ed.) et al., Recent progress in mathematics. Singapore: Springer. KIAS Springer Ser. Math. 1, 43-85 (2022).
Searching for singularities in Navier-Stokes flows based on the Ladyzhenskaya-Prodi-Serrin conditions. (English) Zbl 1531.35219
Reviewer: Piotr Biler (Wrocław)
Localized non blow-up criterion of the Beale-Kato-Majda type for the 3D Euler equations. (English) Zbl 1496.35291
Global regularity of nondiffusive temperature fronts for the two-dimensional viscous Boussinesq system. (English) Zbl 1513.35447
Reviewer: Piotr Biler (Wrocław)
A potential two-scale traveling wave singularity for 3D incompressible Euler equations. (English) Zbl 1495.76017
The Cauchy-Lagrange method for 3D-axisymmetric wall-bounded and potentially singular incompressible Euler flows. (English) Zbl 07524763
Finite-time singularity formation for \(C^{1,\alpha}\) solutions to the incompressible Euler equations on \(\mathbb{R}^3\). (English) Zbl 1492.35199
Reviewer: Ming Mei (Montreal)
The incompressible Euler equations under octahedral symmetry: singularity formation in a fundamental domain. (English) Zbl 1496.35297
On the finite time blowup of the de Gregorio model for the 3D Euler equations. (English) Zbl 1469.35053
Finite time blowup of 2D Boussinesq and 3D Euler equations with \(C^{1, \alpha}\) velocity and boundary. (English) Zbl 1485.35071
Commun. Math. Phys. 383, No. 3, 1559-1667 (2021); correction ibid. 399, No. 1, 573-575 (2023).
Reviewer: Ilya A. Chernov (Petrozavodsk)
Geometry driven type II higher dimensional blow-up for the critical heat equation. (English) Zbl 1451.35031
Finite-time singularity formation for strong solutions to the Boussinesq system. (English) Zbl 1462.35287
Surface tension stabilization of the Rayleigh-Taylor instability for a fluid layer in a porous medium. (English) Zbl 1459.76053
Singular solutions for nonlocal systems of evolution equations with vorticity stretching. (English) Zbl 1447.35268
Reviewer: Mikhail Turbin (Voronezh)
Maximum amplification of enstrophy in three-dimensional Navier-Stokes flows. (English) Zbl 1460.76168
On the profiles of locally self-similar solutions for the 2D inviscid Boussinesq equations. (English) Zbl 1433.35282
Stability, well-posedness and blow-up criterion for the incompressible slice model. (English) Zbl 1451.35024
Finite-time singularity formation for strong solutions to the axi-symmetric \(3D\) Euler equations. (English) Zbl 1436.35055
Formation of finite-time singularities in the 3D axisymmetric Euler equations: a numerics guided study. (English) Zbl 1427.35190
Removing type II singularities off the axis for the three dimensional axisymmetric Euler equations. (English) Zbl 1428.35322
A new path to the non blow-up of incompressible flows. (English) Zbl 1433.35214
Reviewer: Gelu Paşa (Bucureşti)
Analysis of a singular Boussinesq model. (English) Zbl 1428.35367
Reviewer: Anthony D. Osborne (Keele)
On vorticity gradient growth for the axisymmetric 3D Euler equations without swirl. (English) Zbl 1444.76024
On the rate of merging of vorticity level sets for the 2D Euler equations. (English) Zbl 1403.35223
MSC:
35Q31
Potential singularity for a family of models of the axisymmetric incompressible flow. (English) Zbl 1405.35150
The exponential map of the group of area-preserving diffeomorphisms of a surface with boundary. (English) Zbl 1412.35234
Reviewer: Alain Brillard (Riedisheim)
Global regularity for a family of 3D models of the axi-symmetric Navier-Stokes equations. (English) Zbl 1393.35170
Maximum rate of growth of enstrophy in solutions of the fractional Burgers equation. (English) Zbl 1516.35481
The geometry of axisymmetric ideal fluid flows with swirl. (English) Zbl 1390.53017
Reviewer: Alain Brillard (Riedisheim)
Geometric formulation of the Cauchy invariants for incompressible Euler flow in flat and curved spaces. (English) Zbl 1374.76005
Extreme vortex states and the growth of enstrophy in three-dimensional incompressible flows. (English) Zbl 1383.76100
Finite time blowup for Lagrangian modifications of the three-dimensional Euler equation. (English) Zbl 1397.35181
Finite time singularity for the modified SQG patch equation. (English) Zbl 1360.35159
Reviewer: Alpár R. Mészáros (Los Angeles)
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