Geodesic
Rate independent Kurzweil processes
Applications of Mathematics, Tome 54 (2009) no. 2, pp. 117-145.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

The Kurzweil integral technique is applied to a class of rate independent processes with convex energy and discontinuous inputs. We prove existence, uniqueness, and continuous data dependence of solutions in $BV$ spaces. It is shown that in the context of elastoplasticity, the Kurzweil solutions coincide with natural limits of viscous regularizations when the viscosity coefficient tends to zero. The discontinuities produce an additional positive dissipation term, which is not homogeneous of degree one.
DOI : 10.1007/s10492-009-0009-5
Classification : 49J40, 49K40, 74C15
Keywords: Kurzweil integral; rate independence 
@article{10_1007_s10492_009_0009_5,
     author = {Krej\v{c}{\'\i}, Pavel and Liero, Matthias},
     title = {Rate independent {Kurzweil} processes},
     journal = {Applications of Mathematics},
     pages = {117--145},
     publisher = {mathdoc},
     volume = {54},
     number = {2},
     year = {2009},
     doi = {10.1007/s10492-009-0009-5},
     mrnumber = {2491851},
     zbl = {1212.49007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-009-0009-5/}
}
TY  - JOUR
AU  - Krejčí, Pavel
AU  - Liero, Matthias
TI  - Rate independent Kurzweil processes
JO  - Applications of Mathematics
PY  - 2009
SP  - 117
EP  - 145
VL  - 54
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10492-009-0009-5/
DO  - 10.1007/s10492-009-0009-5
LA  - en
ID  - 10_1007_s10492_009_0009_5
ER  - 
%0 Journal Article
%A Krejčí, Pavel
%A Liero, Matthias
%T Rate independent Kurzweil processes
%J Applications of Mathematics
%D 2009
%P 117-145
%V 54
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1007/s10492-009-0009-5/
%R 10.1007/s10492-009-0009-5
%G en
%F 10_1007_s10492_009_0009_5
Krejčí, Pavel; Liero, Matthias. Rate independent Kurzweil processes. Applications of Mathematics, Tome 54 (2009) no. 2, pp. 117-145. doi : 10.1007/s10492-009-0009-5. http://geodesic.mathdoc.fr/articles/10.1007/s10492-009-0009-5/

Cité par Sources :