A model for ice sheets and glaciers in fractal dimensions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60077344%3A_____%2F25%3A00646939" target="_blank" >RIV/60077344:_____/25:00646939 - isvavai.cz</a>
Alternative codes found
RIV/60076658:12310/25:43910082
Result on the web
<a href="https://doi.org/10.1016/j.polar.2025.101171" target="_blank" >https://doi.org/10.1016/j.polar.2025.101171</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.polar.2025.101171" target="_blank" >10.1016/j.polar.2025.101171</a>
Alternative languages
Result language
angličtina
Original language name
A model for ice sheets and glaciers in fractal dimensions
Original language description
Several studies have confirmed the fractal geometry of various glacial fields on Earth and the presence of selforganizing glacial environments. These have been confirmed using satellite geodesy such as Landsat data and SPOT Panchromatic satellite data. In this manuscript, we study ice sheet dynamics and glacier in fractal dimensions based on the notion of 'product-like fractal measure' recently introduced in Literature. This approach is practical to model continuum processes characterized by anisotropies. We discuss two main problems based on the shallow-ice approximation: the ice-sheet profile and the parallel-sided slab problems in fractal dimensions. In the first problem, a deformation in the Vialov profile has been observed. In particular, for fractal dimensions much less than unity, the surface profile is peakish at the end of the horizontal extent. This observation holds for various Glen's flow parameter. When cap is expanding sideways, we have revealed the emergence of accumulation and ablation mainly for low fractal dimensions. In the second problem, both the temperature profile and the horizontal velocity are affected by fractal dimensions. The surface temperature decreases to a temperature higher than the one obtained in the basic approach, i.e. integer dimensions. This may have some impacts on climate change.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Result continuities
Project
<a href="/en/project/QK22020134" target="_blank" >QK22020134: Inovative fisheries management of a large reservoir</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Polar Science
ISSN
1873-9652
e-ISSN
1876-4428
Volume of the periodical
44
Issue of the periodical within the volume
Feb
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
13
Pages from-to
101171
UT code for WoS article
001521379100006
EID of the result in the Scopus database
2-s2.0-85217358771