Zobrazeno 1 - 10
of 11
pro vyhledávání: '"Ingo Nitschke"'
Publikováno v:
Aarhus University
We consider gradient flows of surface energies which depend on the surface by a parameterization and on a tangential tensor field. The flow allows for dissipation by evolving the parameterization and the tensor field simultaneously. This requires to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cbe42071de39f06355223aa831fb6115
Publikováno v:
PAMM. 20
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::38d07625b03076d34fdb4d48aa9a82aa
https://doi.org/10.1002/pamm.202000006
https://doi.org/10.1002/pamm.202000006
Publikováno v:
Proc Math Phys Eng Sci
Liquid crystals with molecules constrained to the tangent bundle of a curved surface show interesting phenomena resulting from the tight coupling of the elastic and bulk-free energies of the liquid crystal with geometric properties of the surface. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c6981892e25b3155a7ff355c42ef78cd
https://pubmed.ncbi.nlm.nih.gov/33071582
https://pubmed.ncbi.nlm.nih.gov/33071582
Publikováno v:
Soft matter. 16(16)
Uniaxial nematic liquid crystals whose molecular orientation is subjected to tangential anchoring on a curved surface offer a non trivial interplay between the geometry and the topology of the surface and the orientational degree of freedom. We consi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f03a0bc633fd7cfa42b056d38292ed87
https://pubmed.ncbi.nlm.nih.gov/32270809
https://pubmed.ncbi.nlm.nih.gov/32270809
Fluid deformable surfaces show a solid–fluid duality which establishes a tight interplay between tangential flow and surface deformation. We derive the governing equations as a thin film limit and provide a general numerical approach for their solu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::36fd0c209186dd4910013e22d517fd83
Autor:
Ingo Nitschke, Axel Voigt
Publikováno v:
Journal of Geometry and Physics. 173:104428
Observer-invariance is regarded as a minimum requirement for an appropriate definition and derived systematically from a spacetime setting, where observer-invariance is a special case of a covariance principle and covered by Ricci-calculus. The analy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0b6eb7bdc96429ae3232cba6d6210490
https://doi.org/10.1016/j.geomphys.2021.104428
https://doi.org/10.1016/j.geomphys.2021.104428
Publikováno v:
Physical Review Fluids. 4
We consider the derivation and numerical solution of the flow of passive and active polar liquid crystals, whose molecular orientation is subjected to a tangential anchoring on an evolving curved surface. The underlying passive model is a simplified
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::197f8f9cef724ae4196da06bce24e990
https://doi.org/10.1103/physrevfluids.4.044002
https://doi.org/10.1103/physrevfluids.4.044002
We derive a Cartesian componentwise description of the covariant derivative of tangential tensor fields of any degree on Riemannian manifolds. This allows to reformulate any vector- and tensor-valued surface PDE in a form suitable to be solved by est
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::be6080b73d55f6c17988fd16d8bb0ebd
http://arxiv.org/abs/1809.00945
http://arxiv.org/abs/1809.00945
Publikováno v:
Transport Processes at Fluidic Interfaces ISBN: 9783319566016
We consider a numerical approach for the incompressible surface Navier-Stokes equation. The approach is based on the covariant form and uses discrete exterior calculus (DEC) in space and a semi-implicit discretization in time. The discretization is d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4e504f9d4bdd213f18e9c6f0eccfc952
https://doi.org/10.1007/978-3-319-56602-3_7
https://doi.org/10.1007/978-3-319-56602-3_7
Publikováno v:
Journal of Fluid Mechanics. 708:418-438
A two-phase Newtonian surface fluid is modelled as a surface Cahn–Hilliard–Navier–Stokes equation using a stream function formulation. This allows one to circumvent the subtleties in describing vectorial second-order partial differential equati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7ebe2fc4a06380e28148d0aade318ffa
https://doi.org/10.1017/jfm.2012.317
https://doi.org/10.1017/jfm.2012.317