Inertial evolution of non-linear viscoelastic solids in the face of (self-)collision
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10485265" target="_blank" >RIV/00216208:11320/24:10485265 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=V3awxNfiOK" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=V3awxNfiOK</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00526-023-02648-7" target="_blank" >10.1007/s00526-023-02648-7</a>
Alternative languages
Result language
angličtina
Original language name
Inertial evolution of non-linear viscoelastic solids in the face of (self-)collision
Original language description
We study the time evolution of non-linear viscoelastic solids in the presence of inertia and (self-)contact. For this problem we prove the existence of weak solutions for arbitrary times and initial data, thereby solving an open problem in the field. Our construction directly includes the physically correct, measure-valued contact forces and thus obeys conservation of momentum and an energy balance. In particular, we prove an independently useful compactness result for contact forces.
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
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Calculus of Variations and Partial Differential Equations
ISSN
0944-2669
e-ISSN
1432-0835
Volume of the periodical
63
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
48
Pages from-to
55
UT code for WoS article
001163610800001
EID of the result in the Scopus database
2-s2.0-85188327486