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pro vyhledávání: '"Stefan Krömer"'
Autor:
Stefan Krömer, Jan Valdman
Publikováno v:
Mathematics and Mechanics of Solids. 24:3644-3673
We present a new penalty term approximating the Ciarlet–Nečas condition (global invertibility of deformations) as a soft constraint for hyperelastic materials. For non-simple materials including a suitable higher-order term in the elastic energy,
For an integral functional defined on functions ( u , v ) ∈ W 1 , 1 × L 1 {(u,v)\in W^{1,1}\times L^{1}} featuring a prototypical strong interaction term between u and v, we calculate its relaxation in the space of functions with bounded variation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da610cd71e6dc494e02fad8e4aa1ef61
Publikováno v:
SIAM Journal on Mathematical Analysis. 50:1076-1119
In this work we completely characterize generalized Young measures generated by sequences of gradients of maps in $W^{1,1}(\Omega;{R}^M)$, where $\Omega\subset{R}^N$. This characterization extends ...
Publikováno v:
Advances in Calculus of Variations. 10:49-67
We state necessary and sufficient conditions for weak lower semicontinuity of integral functionals of the form ${u\mapsto\int_{\Omega}h(x,u(x))\,\mathrm{d}x}$, where h is continuous and possesses a positively p-homogeneous recession function, ${p>1}$
Autor:
Carolin Kreisbeck, Stefan Krömer
Publikováno v:
SIAM Journal on Mathematical Analysis. 48:785-820
We analyze the asymptotic behavior of a multiscale problem given by a sequence of integral functionals subject to differential constraints conveyed by a constant-rank operator with two characteristic length scales, namely the film thickness and the p
Autor:
Timothy J. Healey, Stefan Krömer
We consider a class of second-gradient elasticity models for which the internal potential energy is taken as the sum of a convex function of the second gradient of the deformation and a general function of the gradient. However, in consonance with cl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::db6b509e8d4bc8e3f2922629d68ec50c
https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/39010
https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/39010
Publikováno v:
Springer INdAM Series ISBN: 9783319759395
It is well known that besides oscillations, sequences bounded only in L1 can also develop concentrations, and if the latter occurs, we can at most hope for weak∗ convergence in the sense of measures. Here we derive a new tool to handle mutual inter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d2c0b8ee532f7fb0431d546fc177c515
https://doi.org/10.1007/978-3-319-75940-1_2
https://doi.org/10.1007/978-3-319-75940-1_2
Autor:
Stefan Krömer, Niels Rahe-Meyer, Anika Frese-Gaul, Nilufar Foadi, Matthias Karst, Christian Weilbach
Publikováno v:
Journal of Pain Research
Nilufar Foadi,1,* Matthias Karst,1,* Anika Frese-Gaul,2 Niels Rahe-Meyer,3 Stefan Krömer,1 Christian Weilbach4 1Department of Anesthesiology and Intensive Care Medicine, Pain Clinic, Hannover Medical School, Hannover, 2Department of Psychosomatic Me
Autor:
Stefan Krömer, Markus Lilli
Publikováno v:
Mathematische Nachrichten. 284:1048-1082
The purpose of this paper is to provide tools for analyzing the compactness properties of sequences in Sobolev spaces, in particular if the sequence gets mapped onto a compact set by some nonlinear operator. Here, our focus lies on a very general cla
Autor:
Stefan Krömer
Publikováno v:
Zeitschrift für Analysis und ihre Anwendungen. :269-303
For Ω ⊂ RN open (and possibly unbounded), we consider integral functionals of the form F (u) := ∫ Ω f(x, u) dx, de ned on the subspace of Lp consisting of those vector elds u which satisfy Au = 0 on Ω in the sense of distributions. Here, A may