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[کتاب][B] The Navier-Stokes problem in the 21st century
PG Lemarié-Rieusset - 2018 - taylorfrancis.com
Up-to-Date Coverage of the Navier–Stokes Equation from an Expert in Harmonic Analysis
The complete resolution of the Navier–Stokes equation—one of the Clay Millennium Prize …
The complete resolution of the Navier–Stokes equation—one of the Clay Millennium Prize …
[کتاب][B] Fourier analysis and nonlinear partial differential equations
H Bahouri - 2011 - Springer
Since the 1980s, Fourier analysis methods have become of ever greater interest in the study
of linear and nonlinear partial differential equations. In particular, techniques based on …
of linear and nonlinear partial differential equations. In particular, techniques based on …
[کتاب][B] Navier-Stokes equations and turbulence
C Foias, O Manley, R Rosa, R Temam - 2001 - books.google.com
This book aims to bridge the gap between practising mathematicians and the practitioners of
turbulence theory. It presents the mathematical theory of turbulence to engineers and …
turbulence theory. It presents the mathematical theory of turbulence to engineers and …
Remark on the rate of decay of higher order derivatives for solutions to the Navier–Stokes equations in Rn
We present a new derivation of upper bounds for the decay of higher order derivatives of
solutions to the unforced Navier–Stokes equations in R n. The method, based on so-called …
solutions to the unforced Navier–Stokes equations in R n. The method, based on so-called …
Asymptotic and viscous stability of large-amplitude solutions of a hyperbolic system arising from biology
In this paper, we study the qualitative behavior of the Cauchy problem of a hyperbolic model
\left{p_t-∇⋅\left(pq\right)\,=\,Δp,\,x∈\CalR^d,t>0,\hfillq_t-∇\left(ε|q|^2+p\right)\,=\,εΔq,\hfill\cr …
\left{p_t-∇⋅\left(pq\right)\,=\,Δp,\,x∈\CalR^d,t>0,\hfillq_t-∇\left(ε|q|^2+p\right)\,=\,εΔq,\hfill\cr …
Analyticity and decay estimates of the Navier–Stokes equations in critical Besov spaces
In this paper, we establish analyticity of the Navier–Stokes equations with small data in
critical Besov spaces ̇ B^ 3 p-1 _ p, q. The main method is Gevrey estimates, the choice of …
critical Besov spaces ̇ B^ 3 p-1 _ p, q. The main method is Gevrey estimates, the choice of …
Skin friction and pressure: the “footprints” of turbulence
The problems of exact state reconstruction and approximate state estimation based on wall
information in a wall-bounded incompressible unsteady flow are addressed. It is shown that …
information in a wall-bounded incompressible unsteady flow are addressed. It is shown that …
Higher-order synchronization for a data assimilation algorithm for the 2D Navier–Stokes equations
We consider the two-dimensional (2D) Navier–Stokes equations (NSE) with space periodic
boundary conditions and an algorithm for continuous data assimilation developed by …
boundary conditions and an algorithm for continuous data assimilation developed by …
On the radius of analyticity of solutions to the three-dimensional Euler equations
We address the problem of analyticity of smooth solutions $ u $ of the incompressible Euler
equations. If the initial datum is real–analytic, the solution remains real–analytic as long as …
equations. If the initial datum is real–analytic, the solution remains real–analytic as long as …
Singularities of Euler flow? Not out of the blue!
Does three-dimensional incompressible Euler flow with smooth initial conditions develop a
singularity with infinite vorticity after a finite time? This blowup problem is still open. After …
singularity with infinite vorticity after a finite time? This blowup problem is still open. After …