大木谷 耕司

Self-similarity in turbulence and its applications 

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 2022年6月27日  

Remarks on the principles of statistical fluid mechanics 

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 380(2218) 2022年3月7日  

Self-similar source-type solutions to the three-dimensional Navier–Stokes equations 

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 2022年2月  

Study of the Hopf functional equation for turbulence: Duhamel principle and dynamical scaling 

Physical Review E 101(1) 2020年1月8日  査読有り

Applications of a Cole–Hopf transform to the 3D Navier–Stokes equations 

Journal of Turbulence 19(4) 322-333 2018年4月3日  査読有り

Study of the 3D Euler equations using Clebsch potentials: dual mechanisms for geometric depletion 

Nonlinearity 31(2) R25-R51 2018年2月1日  査読有り招待有り

Cole-Hopf-Feynman-Kac formula and quasi-invariance for Navier-Stokes equations 

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 50(40) 2017年10月  査読有り

Analogue of the Cole-Hopf transform for the incompressible Navier-Stokes equations and its application 

JOURNAL OF TURBULENCE 18(5) 465-479 2017年  査読有り

Near-invariance under dynamic scaling for Navier-Stokes equations in critical spaces: a probabilistic approach to regularity problems 

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 50(4) 2017年1月  査読有り

Characterization of blowup for the Navier-Stokes equations using vector potentials 

AIP ADVANCES 7(1) 2017年1月  査読有り

Study of the Navier-Stokes regularity problem with critical norms 

FLUID DYNAMICS RESEARCH 48(2) 2016年4月  査読有り

Late formation of singularities in solutions to the Navier-Stokes equations 

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 49(1) 2016年1月  査読有り

Dynamical equations for the vector potential and the velocity potential in incompressible irrotational Euler flows: A refined Bernoulli theorem 

PHYSICAL REVIEW E 92(3) 2015年9月  査読有り

Singularity formation in the Smirnov–Chukbar–Zaburdaev equation for the deformation of vortex lattices 

Journal of Physics A: Mathematical and Theoretical 46(20) 205501-205501 2013年5月24日  査読有り

Intermittency and local Reynolds number in Navier-Stokes turbulence: A cross-over scale in the Caffarelli-Kohn-Nirenberg integral 

PHYSICS OF FLUIDS 24(11) 2012年11月  査読有り

The Fefferman-Stein decomposition for the Constantin-Lax-Majda equation: Regularity criteria for inviscid fluid dynamics revisited 

JOURNAL OF MATHEMATICAL PHYSICS 53(11) 2012年11月  査読有り

Asymptotics and numerics of a family of two-dimensional generalized surface quasi-geostrophic equations 

PHYSICS OF FLUIDS 24(9) 2012年9月  査読有り

Vortex merger and topological changes in two-dimensional turbulence 

Physical Review E 86(1) 2012年7月10日  査読有り

Numerical study on comparison of Navier-Stokes and Burgers equations 

PHYSICS OF FLUIDS 24(5) 2012年5月  査読有り

Erratum: Oscillatory damping in long-time evolution of the surface quasi-geostrophic equations with generalized viscosity: A numerical study (Nonlinearity (2010) 23 (3029-3051)) 

Nonlinearity 25(7) 2181-2202 2012年  査読有り