| 2019Tania Pernas Castaño and Juan J. L. Velázquez
Analysis of a thin film approximation for two-fluid Taylord-Couette flows
arXiv e-prints: arXiv:1905.13606 2019
https://ui.adsabs.harvard.edu/abs/2019arXiv190513606P
|
| |
| C. Rieger and H. Wendland
Sampling Inequalities for Anisotropic Tensor Product Grids
IMA Journal of Numerical Analysis 2019
https://doi.org/10.1093/imanum/dry080
|
| |
| Filip Rindler, Sebastian Schwarzacher and Juan J. L. Velázquez
Two-speed solutions to non-convex rate-independent systems
arXiv e-prints: arXiv:1907.05035 2019
https://ui.adsabs.harvard.edu/abs/2019arXiv190705035R
|
| |
| Florian Schweiger
The maximum of the four-dimensional membrane model
arXiv e-prints: arXiv:1903.02522 2019
https://ui.adsabs.harvard.edu/abs/2019arXiv190302522S
|
| |
| 2018Sergio Albeverio, Francesco C. De Vecchi and Massimiliano Gubinelli
Elliptic stochastic quantization
2018
http://arxiv.org/abs/1812.04422
|
| |
| P. Ariza, S. Conti, A. Garroni and M. Ortiz
Variational modeling of dislocations in crystals in the line-tension limit
In V. Mehrmann and M. Skutella, editor, European Congress of Mathematics, Berlin, 2016
page 583-598.
Publisher: EMS
2018
10.4171/176-1/27
|
| |
| N. Barashkov and M. Gubinelli
Variational approach to Euclidean QFT
ArXiv e-prints 2018
https://arxiv.org/abs/1805.10814
|
| |
| Kaveh Bashiri and Anton Bovier
Gradient flow approach to local mean-field spin systems
2018
https://arxiv.org/abs/1806.07121
|
| |
| B. Bohn
On the convergence rate of sparse grid least squares regression
In J. Garcke and D. Pflüger and C. Webster and G. Zhang, editor, Sparse Grids and Applications - Miami 2016, Volume 123 of Lecture Notes in Computational Science and Engineering
page 19--41.
Publisher: Springer
2018
http://wissrech.ins.uni-bonn.de/research/pub/bohn/INSPreprint_SGLeastSquares.pdf
|
| |
| M. Bonacini, B. Niethammer and JJL Velázquez
Self-similar gelling solutions for the coagulation equation with diagonal kernel
2018
https://arxiv.org/abs/1711.02966
|
| |
| M. Bonacini, B. Niethammer and JJL Velázquez
Self-similar solutions to coagulation equations with time-dependent tails: the case of homogeneity
2018
https://arxiv.org/abs/1612.06610
|
| |
| Anton Bovier, Loren Coquille and Charline Smadi
Crossing a fitness valley as a metastable transition in a stochastic population model
2018
https://arxiv.org/abs/1801.06473
|
| |
| Anton Bovier, Dmitry Ioffe and Patrick Müller
The hydrodynamics limit for local mean-field dynamics with unbounded spins
2018
https://arxiv.org/abs/1805.00641
|
| |
| Anton Bovier and Lisa B. Hartung
From $1$ to $6$: a finer analysis of perturbed branching Brownian motion
2018
https://arxiv.org/abs/1808.05445
|
| |
| Gianmarco Brocchi, Diogo Oliveira e Silva and René Quilodrán
Sharp Strichartz inequalities for fractional and higher order Schr\''odinger equations
arXiv e-prints: arXiv:1804.11291 2018
https://ui.adsabs.harvard.edu/abs/2018arXiv180411291B
|
| |
| Simon Buchholz, Jean-Dominique Deuschel, Noemi Kurt and Florian Schweiger
Probability to be positive for the membrane model in dimensions 2 and 3
arXiv e-prints: arXiv:1810.05062 2018
https://ui.adsabs.harvard.edu/abs/2018arXiv181005062B
|
| |
| Simon Buchholz
Finite range decomposition for Gaussian measures with improved regularity
J. Funct. Anal., 275(7): 1674--1711 2018
10.1016/j.jfa.2018.02.018
|
| |
| Antonin Chambolle, Sergio Conti and Gilles A. Francfort
Approximation of a britte fracture energy with the constraint of non-interpenetration
Arch. Ration. Mech. Anal., 228: 867-889 2018
10.1007/s00205-017-1207-z
|
| |
| Sergio Conti, Martin Rumpf, Rüdiger Schultz and Sascha Tölkes
Stochastic Dominance Constraints in Elastic Shape Optimization
SIAM J. Control Optim., 56: 3021-3034 2018
10.1137/16M108313X
Abstract: This paper deals with shape optimization for elastic materials under stochastic loads. It transfers the paradigm of stochastic dominance, which allows for flexible risk aversion via comparison with benchmark random variables, from finite-dimensional stochastic programming to shape optimization. Rather than handling risk aversion in the objective, this enables risk aversion by including dominance constraints that single out subsets of nonanticipative shapes which compare favorably to a chosen stochastic benchmark. This new class of stochastic shape optimization problems arises by optimizing over such feasible sets. The analytical description is built on risk-averse cost measures. The underlying cost functional is of compliance type plus a perimeter term, in the implementation shapes are represented by a phase field which permits an easy estimate of a regularized perimeter. The analytical description and the numerical implementation of dominance constraints are built on risk-averse measures for the cost functional. A suitable numerical discretization is obtained using finite elements both for the displacement and the phase field function. Different numerical experiments demonstrate the potential of the proposed stochastic shape optimization model and in particular the impact of high variability of forces or probabilities in the different realizations. |
| |
| Sergio Conti, Matteo Focardi and Flaviana Iurlano
Which special functions of bounded deformation have bounded variation
Proc. Roy. Soc. Edinb. A, 148: 33-50 2018
10.1017/S030821051700004X
Abstract: Functions of bounded deformation (BD) arise naturally in the study of fracture and damage in a geometrically linear context. They are related to functions of bounded variation (BV), but are less well understood. We discuss here the relation to BV under additional regularity assumptions, which may require the regular part of the strain to have higher integrability or the jump set to have finite area or the Cantor part to vanish. On the positive side, we prove that BD functions which are piecewise affine on a Caccioppoli partition are in GSBV, and we prove that $SBD^p$ functions are approximately continuous $H^n-1$-a.e. away from the jump set. On the negative side, we construct a function which is $BD$ but not in BV and has distributional strain consisting only of a jump part, and one which has a distributional strain consisting of only a Cantor part. |
| |