Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Walter Pauls"'
Autor:
Sebastian Vollmar, Katharina Gries, Grizelda Kersteen, Daniel Rhinow, Renzo Capelli, Andreas Krugmann, Walter Pauls, Hubertus Marbach, Alice Di Vincenzo, Ralf Schoenberger, Michael Waldow, Bartholomaeus Szafranek, Horst Schneider, Laura Ahmels, Fan Tu, Andreas Verch
Publikováno v:
Photomask Technology 2020.
Scaling trends in the semiconductor industry towards smaller technology nodes and feature sizes are continuing and first consumer products manufactured with the help of EUV technology are already on the market. Major industrial players have introduce
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3512a83b2eef84d8118f35b4afd2e656
https://doi.org/10.1117/12.2572879
https://doi.org/10.1117/12.2572879
Autor:
Walter Pauls, Samriddhi Sankar Ray
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 53:115702
We use the one-dimensional Burgers equation to illustrate the effect of replacing the standard Laplacian dissipation term by a more general function of the Laplacian -- of which hyperviscosity is the best known example -- in equations of hydrodynamic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b9fae473298de186e58bc3acd6a7d5c2
https://doi.org/10.1088/1751-8121/ab6fca
https://doi.org/10.1088/1751-8121/ab6fca
Autor:
Walter Pauls, Takeshi Matsumoto
Publikováno v:
Geophysical and Astrophysical Fluid Dynamics
Geophysical and Astrophysical Fluid Dynamics, Taylor & Francis, 2005, 99, pp.61-75
Geophysical and Astrophysical Fluid Dynamics, Taylor & Francis, 2005, 99, pp.61-75
The Lagrangian complex-space singularities of the steady Eulerian flow with stream function $\sin x_1 \cos x_2$ are studied by numerical and analytical methods. The Lagrangian singular manifold is analytic. Its minimum distance from the real domain d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9f3c1def1579274c915c14bbce2f9f32
https://doi.org/10.1080/03091920412331312411
https://doi.org/10.1080/03091920412331312411
Publikováno v:
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2012, 85, pp.015301. ⟨10.1103/PhysRevE.85.015301⟩
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2012, 85, pp.015301. ⟨10.1103/PhysRevE.85.015301⟩
Nelkin scaling, the scaling of moments of velocity gradients in terms of the Reynolds number, is an alternative way of obtaining inertial-range information. It is shown numerically and theoretically for the Burgers equation that this procedure works
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8d374b693eeaee10b75282c93839358d
https://hal.archives-ouvertes.fr/hal-00697746
https://hal.archives-ouvertes.fr/hal-00697746
Publikováno v:
Communications in Mathematical Physics
Communications in Mathematical Physics, 2010, 293, pp.519-543. ⟨10.1007/s00220-009-0916-z⟩
Communications in Mathematical Physics, Springer Verlag, 2010, 293, pp.519-543. ⟨10.1007/s00220-009-0916-z⟩
Communications in Mathematical Physics, Springer Verlag, 2010, 293, Issue 2, pp.519-543. ⟨10.1007/s00220-009-0916-z⟩
Communications in Mathematical Physics, 2010, 293, pp.519-543. ⟨10.1007/s00220-009-0916-z⟩
Communications in Mathematical Physics, Springer Verlag, 2010, 293, pp.519-543. ⟨10.1007/s00220-009-0916-z⟩
Communications in Mathematical Physics, Springer Verlag, 2010, 293, Issue 2, pp.519-543. ⟨10.1007/s00220-009-0916-z⟩
We consider a modification of the three-dimensional Navier--Stokes equations and other hydrodynamical evolution equations with space-periodic initial conditions in which the usual Laplacian of the dissipation operator is replaced by an operator whose
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::27c726f795e995b9342b7e07b8fec1a8
https://igi.indrastra.com/items/show/207541
https://igi.indrastra.com/items/show/207541
Autor:
Achim Wirth, Susan Kurien, Rahul Pandit, Jian-Zhou Zhu, Walter Pauls, Uriel Frisch, Samriddhi Sankar Ray
Publikováno v:
Physical Review Letters
Physical Review Letters, American Physical Society, 2008, 101, pp.144501. ⟨10.1103/PhysRevLett.101.144501⟩
Physical Review Letters, American Physical Society, 2008, 101, pp.144501. ⟨10.1103/PhysRevLett.101.144501⟩
It is shown that the use of a high power $\alpha$ of the Laplacian in the dissipative term of hydrodynamical equations leads asymptotically to truncated inviscid \textit{conservative} dynamics with a finite range of spatial Fourier modes. Those at la
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f76db8fe4fdcfe0552e005d65f2d6cb
https://hal.archives-ouvertes.fr/hal-00382476
https://hal.archives-ouvertes.fr/hal-00382476
Autor:
Walter Pauls
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 44:285209
For a class of complex-valued initial conditions, we construct solutions for the inviscid Burgers equations of the same type as those recently introduced by Li and Sinai. Obtained by very simple considerations, these solutions correspond to stable di
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4e0fb4486589f51ad5fbd1c9dbf6a0e1
https://doi.org/10.1088/1751-8113/44/28/285209
https://doi.org/10.1088/1751-8113/44/28/285209
Autor:
Andrew D. Gilbert, Walter Pauls
Publikováno v:
Fluid Dynamics Research. 43:025505
This paper considers the two-dimensional Euler equation for complex spatial variables and two complex modes in the initial condition. A hierarchy of third-order ordinary differential equations (ODEs) is used to study the location and structure of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f58a3aa24adaae8637d37d3a65aed33a
https://doi.org/10.1088/0169-5983/43/2/025505
https://doi.org/10.1088/0169-5983/43/2/025505