An inverse problem for the Vlasov–Poisson system

2015 ◽  
Vol 23 (4) ◽  
Author(s):  
Fikret Gölgeleyen ◽  
Masahiro Yamamoto
Keyword(s):  
Boundary Condition ◽  
Inverse Problem ◽  
Specular Reflection ◽  
Nauk Sssr ◽  
Poisson System ◽  
Local Uniqueness ◽  
Electrical Field ◽  
Stability Theorems ◽  
Akad Nauk Sssr ◽  
Reflection Boundary

AbstractIn this paper, we discuss an inverse problem for the Vlasov–Poisson system. We prove local uniqueness and stability theorems by using the method in Anikonov and Amirov [Dokl. Akad. Nauk SSSR 272 (1983), 1292–1293] under the specular reflection boundary condition and with a prescribed outward electrical field at the boundary.

scholarly journals Correction to: The Landau Equation with the Specular Reflection Boundary Condition

2021 ◽  
Vol 240 (1) ◽  
pp. 605-626
Author(s):  
Yan Guo ◽  
Hyung Ju Hwang ◽  
Jin Woo Jang ◽  
Zhimeng Ouyang
Keyword(s):  
Boundary Condition ◽  
Specular Reflection ◽  
Landau Equation ◽  
Reflection Boundary

scholarly journals The Landau Equation with the Specular Reflection Boundary Condition

2020 ◽  
Vol 236 (3) ◽  
pp. 1389-1454
Author(s):  
Yan Guo ◽  
Hyung Ju Hwang ◽  
Jin Woo Jang ◽  
Zhimeng Ouyang
Keyword(s):  
Boundary Condition ◽  
Specular Reflection ◽  
Landau Equation ◽  
Reflection Boundary

scholarly journals P1 or P\bar 1? Corrigendum

2000 ◽  
Vol 56 (4) ◽  
pp. 744-744 ◽  
Author(s):  
Richard E. Marsh
Keyword(s):  
Nauk Sssr ◽  
Monoclinic Space Group ◽  
Orthorhombic Space Group ◽  
Acta Cryst ◽  
Triclinic Space Group ◽  
Space Group ◽  
Akad Nauk Sssr

The structure of bis((phenyl-O,N,N-azoxy)oxy)methane, C_{13}H_{12}N_4O_4, originally reported as triclinic, space group P1 [Zyuzin et al. (1997). Isz. Akad. Nauk SSSR Ser. Khim. pp. 1486–1492; CSD refcode NIXQAM] was recently revised to monoclinic, space group C2 [Marsh (1999). Acta Cryst. B55, 931–936]. It is properly described as orthorhombic, space group Fdd2.

scholarly journals Reynolds number effect on the velocity derivative flatness factor

2018 ◽  
Vol 856 ◽  
pp. 426-443 ◽  
Author(s):  
M. Meldi ◽  
L. Djenidi ◽  
R. Antonia
Keyword(s):  
Reynolds Number ◽  
Isotropic Turbulence ◽  
Nauk Sssr ◽  
Quantitative Agreement ◽  
Homogeneous Isotropic Turbulence ◽  
Simulation Data ◽  
Akad Nauk Sssr ◽  
Analytic Expression ◽  
Velocity Derivative ◽  
Flatness Factor

This paper investigates the effect of a finite Reynolds number (FRN) on the flatness factor ($F$) of the velocity derivative in decaying homogeneous isotropic turbulence by applying the eddy damped quasi-normal Markovian (EDQNM) method to calculate all terms in an analytic expression for $F$ (Djenidi et al., Phys. Fluids, vol. 29 (5), 2017b, 051702). These terms and hence $F$ become constant when the Taylor microscale Reynolds number, $Re_{\unicode[STIX]{x1D706}}$ exceeds approximately $10^{4}$. For smaller values of $Re_{\unicode[STIX]{x1D706}}$, $F$, like the skewness $-S$, increases with $Re_{\unicode[STIX]{x1D706}}$; this behaviour is in quantitative agreement with experimental and direct numerical simulation data. These results indicate that one must first ensure that $Re_{\unicode[STIX]{x1D706}}$ is large enough for the FRN effect to be negligibly small before the hypotheses of Kolmogorov (Dokl. Akad. Nauk SSSR, vol. 30, 1941a, pp. 301–305; Dokl. Akad. Nauk SSSR, vol. 32, 1941b, pp. 16–18; J. Fluid Mech., vol. 13, 1962, pp. 82–85) can be assessed unambiguously. An obvious implication is that results from experiments and direct numerical simulations for which $Re_{\unicode[STIX]{x1D706}}$ is well below $10^{4}$ may not be immune from the FRN effect. Another implication is that a power-law increase of $F$ with respect to $Re_{\unicode[STIX]{x1D706}}$, as suggested by the Kolmogorov 1962 theory, is not tenable when $Re_{\unicode[STIX]{x1D706}}$ is large enough.

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