Search Results - "Gladbach, Peter"

Variational competition between the full Hessian and its determinant for convex functions by Gladbach, Peter, Olbermann, Heiner

“…We prove upper and lower bounds for a variational functional for convex functions satisfying certain boundary conditions on a sector of the unit ball in two…”
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The Euler–Bernoulli Limit of Thin Brittle Linearized Elastic Beams by Ginster, Janusz, Gladbach, Peter

“…We show that the linear brittle Griffith energy on a thin rectangle Γ -converges after rescaling to the linear one-dimensional brittle Euler–Bernoulli beam…”
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Limits of density-constrained optimal transport by Gladbach, Peter, Kopfer, Eva

“…We consider the problem of dynamic optimal transport with a density constraint. We derive variational limits in terms of Γ -convergence for two singular…”
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A line-tension model of dislocation networks on several slip planes by Conti, Sergio, Gladbach, Peter

“…•We derive a line-tension model for dislocations in several slip planes.•We show that straight dislocations can be unstable towards more complex patterns.•The…”
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Many-Particle Limits in Molecular Solvation by Ginster, Janusz, Gladbach, Peter

“…In this paper, the authors study the limit of a sharp interface model for the solvation of charged particles in an implicit solvent as the number of solute…”
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A Phase-field Model of Dislocations on Parallel Slip Planes by Gladbach, Peter

“…We establish a line‐tension energy for dislocation networks concentrated in finitely many parallel slip planes as the limit of a Peierls‐Nabarro energy…”
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Homogenisation of dynamical optimal transport on periodic graphs by Gladbach, Peter, Kopfer, Eva, Maas, Jan, Portinale, Lorenzo

“…This paper deals with the large-scale behaviour of dynamical optimal transport on Z d -periodic graphs with general lower semicontinuous and convex energy…”
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Stochastic homogenization of dynamical discrete optimal transport by Gladbach, Peter, Kopfer, Eva

“…The aim of this paper is to examine the large-scale behavior of dynamical optimal transport on stationary random graphs embedded in $\R^n$. Our primary…”
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Connecting disclinations by ridges by Gladbach, Peter, Olbermann, Heiner

“…We consider a thin elastic sheet with a finite number of disclinations in a variational framework in the F\"oppl-von K\'arm\'an approximation. Under the…”
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Variational interacting particle systems and Vlasov equations by Gladbach, Peter, Kepka, Bernhard

“…We consider optimization problems for interacting particle systems. We show that critical points solve a Vlasov equation, and that in general no minimizers…”
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Consistent and convergent discretizations of Helfrich-type energies on general meshes by Gladbach, Peter, Olbermann, Heiner

“…We show that integral curvature energies on surfaces of the type $E_0(M) := \int_M f(x,n_M(x),D n_M(x))\,d\mathcal{H}^2(x)$ have discrete versions for…”
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An anisotropic Poincar\'e inequality in $GSBV^p$ and the limit of strongly anisotropic Mumford-Shah functionals by Ginster, Janusz, Gladbach, Peter

“…We show that functions in $GSBV^p$ in three-dimensional space with small variation in $2$ of $3$ directions are close to a function of one variable outside an…”
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The Euler-Bernoulli limit of thin brittle linearized elastic beams by Gladbach, Peter, Ginster, Janusz

“…We show that the linear brittle Griffith energy on a thin rectangle $\Gamma$-converges after rescaling to the linear one-dimensional brittle Euler-Bernoulli…”
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Approximation of the Willmore energy by a discrete geometry model by Gladbach, Peter, Olbermann, Heiner

“…We prove that a certain discrete energy for triangulated surfaces, defined in the spirit of discrete differential geometry, converges to the Willmore energy in…”
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Non-Newtonian thin-film equations: global existence of solutions, gradient-flow structure and guaranteed lift-off by Gladbach, Peter, Jansen, Jonas, Lienstromberg, Christina

“…We study the gradient-flow structure of a non-Newtonian thin film equation with power-law rheology. The equation is quasilinear, of fourth order and…”
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Variational competition between full Hessian and its determinant for convex functions by Gladbach, Peter, Olbermann, Heiner

“…We prove upper and lower bounds for a variational functional for convex functions satisfying certain boundary conditions on a sector of the unit ball in two…”
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Limits of density-constrained optimal transport by Gladbach, Peter, Kopfer, Eva

“…We consider the problem of dynamic optimal transport with a density constraint. We derive variational limits in terms of $\Gamma$-convergence for two singular…”
Get full text

Coarea formulae and chain rules for the Jacobian determinant in fractional Sobolev spaces by Gladbach, Peter, Olbermann, Heiner

“…We prove weak and strong versions of the coarea formula and the chain rule for distributional Jacobian determinants $Ju$ for functions $u$ in fractional…”
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Solvation in the Large Box Limit by Ginster, Janusz, Gladbach, Peter

“…In this paper, the authors study the limit of a sharp interface model for the solvation of charged molecules in an implicit solvent as the number of solute…”
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Homogenisation of dynamical optimal transport on periodic graphs by Gladbach, Peter, Kopfer, Eva, Maas, Jan, Portinale, Lorenzo

“…This paper deals with the large-scale behaviour of dynamical optimal transport on $\mathbb{Z}^d$-periodic graphs with general lower semicontinuous and convex…”
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