A model for ice sheets and glaciers in fractal dimensions

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/60076658:12310/25:43910082

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

A model for ice sheets and glaciers in fractal dimensions

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

A model for ice sheets and glaciers in fractal dimensions

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Projekt

<a href="/cs/project/QK22020134" target="_blank" >QK22020134: Inovativní rybářský management velké nádrže</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Polar Science

ISSN

1873-9652

e-ISSN

1876-4428

Svazek periodika

44

Číslo periodika v rámci svazku

Feb

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

13

Strana od-do

101171

Kód UT WoS článku

001521379100006

EID výsledku v databázi Scopus

2-s2.0-85217358771