Preprints - IAM Publications


	2018 Michael Goldmann, Martin Huesmann and Felix Otto A large-scale regularity theory for the Monge-Ampere equation with rough data and application to the optimal matching problem arxiv e-print 1808.09250 2018 https://arxiv.org/abs/1808.09250

	M. Gubinelli and M. Hofmanová Global solutions to elliptic and parabolic $\Phi^4$ models in Euclidean space ArXiv e-prints 2018 https://arxiv.org/abs/1804.11253

	Massimiliano Gubinelli and Martina Hofmanová A PDE construction of the Euclidean $\Phi^4_3$ quantum field theory 2018 https://arxiv.org/abs/1810.01700

	Richard M. Höfer The inertialess limit of particle sedimentation modeled by the Vlasov-Stokes equations SIAM J. Math. Anal., 50(5): 5446--5476 2018 10.1137/18M1165554

	Richard M. Höfer Sedimentation of Inertialess Particles in Stokes Flows Communications in Mathematical Physics, 360(1): 55--101 2018 10.1007/s00220-018-3131-y Abstract: We investigate the sedimentation of a cloud of rigid, spherical particles of identical radii under gravity in a Stokes fluid. Both inertia and rotation of particles are neglected. We consider the homogenization limit of many small particles in the case of a dilute system in which interactions between particles are still important. In the relevant time scale, we rigorously prove convergence of the dynamics to the solution of a macroscopic equation. This macroscopic equation resembles the Stokes equations for a fluid of variable density subject to gravitation.

	Martin Huesmann and Florian Stebegg Monotonicity preserving transformations of MOT and SEP Stochastic Process. Appl., 128(4): 1114--1134 2018 10.1016/j.spa.2017.07.005

	W. Schill, S. Heyden, S. Conti and M. Ortiz The anomalous yield behavior of fused silica glass Journal of the Mechanics and Physics of Solids, 113: 105 - 125 2018 10.1016/j.jmps.2018.01.004

	2017 Mathias Beiglböck, Alexander M. G. Cox and Martin Huesmann he geometry of multi-marginal Skorokhod embedding arxiv e-print 1705.09505 2017 https://arxiv.org/abs/1705.09505

	Behrend Heeren, Martin Rumpf and Benedikt Wirth Variational time discretization of Riemannian splines IMA J. Numer. Anal. 2017 https://arxiv.org/abs/1711.06069

	2016 Beatrice Acciaio, Alexander M. G. Cox and Martin Huesmann Model-independent pricing with insider information: A Skorokhod embedding approach arxiv e-print 1610.09124 2016 https://arxiv.org/abs/1610.09124

	Sebastian Andres and Lisa B. Hartung Diffusion processes on branching Brownian motion 2016 https://arxiv.org/abs/1607.08132

	S. Andres and L. Hartung Diffusion processes on branching Brownian motion ArXiv e-prints 2016 http://adsabs.harvard.edu/abs/2016arXiv160708132A

	Patrick W. Dondl, Behrend Heeren and Martin Rumpf Optimization of the branching pattern in coherent phase transitions C. R. Math. Acad. Sci. Paris, 354(6): 639--644 2016 https://arxiv.org/abs/1512.06620 Abstract: Branching can be observed at the austenite-martensite interface of martensitic phase transformations. For a model problem, Kohn and Müller studied a branching pattern with optimal scaling of the energy with respect to its parameters. Here, we present finite element simulations that suggest a topologically different class of branching patterns and derive a novel, low dimensional family of patterns. After a geometric optimization within this family, the resulting pattern bears a striking resemblance to our simulation. The novel microstructure admits the same scaling exponents but results in a significantly lowered upper energy bound.

	Michael Herrmann, Barbara Niethammer and Juan J. L. Velázquez Instabilities and oscillations in coagulation equations with kernels of homogeneity one 2016 http://arxiv.org/abs/1606.09405

	Susanne Hilger Scaling limit and convergence of smoothed covariance for gradient models with non-convex potential arXiv e-prints: arXiv:1603.04703 2016 https://ui.adsabs.harvard.edu/abs/2016arXiv160304703H

	Richard Höfer and Juan JL Velázquez The Method of Reflections, Homogenization and Screening for Poisson and Stokes Equations in Perforated Domains 2016 http://arxiv.org/abs/1603.06750

	Peter Hornung, Martin Rumpf and Stefan Simon Material Optimization for Nonlinearly Elastic Planar Beams 2016 http://arxiv.org/abs/1604.02267

	2015 Mathias Beiglböck, Martin Huesmann and Florian Stebegg Root to Kellerer ArXiv e-print 2015 http://arxiv.org/abs/1507.07690

	Mathias Beiglböck, Alexander M. G. Cox, Martin Huesmann, Nicolas Perkowski and David J. Prömel Pathwise super-replication via Vovk's outer measure ArXiv e-prints 2015 http://arxiv.org/abs/1504.03644

	S. Beuchler, K. Hofer, D. Wachsmuth and J.-E. Wurst Boundary concentrated finite elements for optimal control problems with distributed observation Comput. Optim. Appl., 62(1): 31--65 2015 http://dx.doi.org/10.1007/s10589-015-9737-5

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