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19972026
most citedElectron and photon performance measurements with the ATLAS detector using the 2015-2017 LHC proton-proton collision data

498 citations

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22 papers · 1 filter

math.AP2023★ 4 cited

On Scaling Properties for a Class of Two-Well Problems for Higher Order Homogeneous Linear Differential Operators

Bogdan Raiţă, Angkana Rüland, Camillo Tissot +1

We study the scaling behaviour of a class of compatible two-well problems for higher order, homogeneous linear differential operators. To this end, we first deduce general lower sc…

math.AP2022★ 4 cited

Linear constrained Cosserat-shell models including terms up to . Conditional and unconditional existence and uniqueness

Ionel-Dumitrel Ghiba, Patrizio Neff

In this paper we linearise the recently introduced geometrically nonlinear constrained Cosserat-shell model. In the framework of the linear constrained Cosserat-shell model, we pro…

math.AP2022★ 5 cited

Boundary ellipticity and limiting -estimates on halfspaces

Franz Gmeineder, Bogdan Raiţă, Jean Van Schaftingen

We identify necessary and sufficient conditions on th order differential operators in terms of a fixed halfspace such that the Gagliardo--N…

math.AP2022★ 6 cited

On Scaling Properties for Two-State Problems and for a Singularly Perturbed Structure

Bodgan Raiţă, Angkana Rüland, Camillo Tissot

In this article we study quantitative rigidity properties for the compatible and incompatible two-state problems for suitable classes of -free operators and for a sing…

math.AP2022★ 5 cited

A geometrically nonlinear Cosserat (micropolar) curvy shell model via Gamma convergence

Maryam Mohammadi Saem, Ionel-Dumitrel Ghiba, Patrizio Neff

Using -convergence arguments, we construct a nonlinear membrane-like Cosserat shell model on a curvy reference configuration starting from a geometrically nonlinear, physically…

math.AP2021

Syzygies, constant rank, and beyond

Marc Härkönen, Lisa Nicklasson, Bogdan Raiţă

We study linear PDE with constant coefficients. The constant rank condition on a system of linear PDEs with constant coefficients is often used in the theory of compensated compact…

math.AP2021★ 12 cited

Endpoint estimates for Hodge systems

Felipe Hernandez, Bogdan Raita, Daniel Spector

In this paper we give a simple proof of the endpoint Besov-Lorentz estimate $$ \|I_αF\|_{\dot{B}^{0,1}_{d/(d-α),1}(\mathbb{R}^d;\mathbb{R}^k)} \leq C \|F \|_{L^1(\mathbb{R}^d;\math…

math.AP2020★ 15 cited

A constrained Cosserat shell model up to order : Modelling, existence of minimizers, relations to classical shell models and scaling invariance of the bending tensor

Ionel-Dumitrel Ghiba, Mircea Bîrsan, Peter Lewintan +1

We consider a recently introduced geometrically nonlinear elastic Cosserat shell model incorporating effects up to order in the shell thickness . We develop the corresp…

math.AP2020★ 12 cited

Compensated compactness: continuity in optimal weak topologies

André Guerra, Bogdan Raiţă, Matthew R. I. Schrecker

For -homogeneous linear differential operators of constant rank, we study the implication in and $\mathcal{A} v_j\rightarrow \mathcal{A}…

math.AP2020★ 3 cited

A note on local higher regularity in the dynamic linear relaxed micromorphic model

Sebastian Owczarek, Ionel-Dumitrel Ghiba, Patrizio Neff

We consider the regularity question of solutions for the dynamic initial-boundary value problem for the linear relaxed micromorphic model. This generalized continuum model couples…

math.AP2020★ 20 cited

Derivation of a refined 6-parameter shell model: Descent from the three-dimensional Cosserat elasticity using a method of classical shell theory

Mircea Bîrsan

Starting from the three-dimensional Cosserat elasticity, we derive a two-dimensional model for isotropic elastic shells. For the dimensional reduction, we employ a derivation metho…

math.AP2020★ 1 cited

Closed-form Saint-Venant solutions in the Koiter theory of shells

Mircea Bîrsan

In this paper we investigate the deformation of cylindrical linearly elastic shells using the Koiter model. We formulate and solve the relaxed Saint-Venant's problem for thin cylin…

math.AP2019★ 13 cited

Oscillation and concentration in sequences of PDE constrained measures

Jan Kristensen, Bogdan Raiţă

We show that for constant rank partial differential operators , generalized Young measures generated by sequences of -free measures can be characterized b…

math.AP2019★ 1 cited

Refined dimensional reduction for isotropic elastic Cosserat shells with initial curvature

Mircea Birsan, Ionel-Dumitrel Ghiba, Robert J. Martin +1

Using a geometrically motivated 8-parameter ansatz through the thickness, we reduce a three-dimensional shell-like geometrically nonlinear Cosserat material to a fully two-dimensio…

math.AP2019★ 22 cited

Quasiconvexity, null Lagrangians, and Hardy space integrability under constant rank constraints

André Guerra, Bogdan Raiţă

We present a systematic treatment of the theory of Compensated Compactness under Murat's constant rank assumption. We give a short proof of a sharp weak lower semicontinuity result…

math.AP2015

Singularities in axisymmetric free boundaries for ElectroHydroDynamic equations

Mariana Smit Vega Garcia, Eugen Varvaruca, Georg S. Weiss

We consider singularities in the ElectroHydroDynamic equations. In a regime where we are allowed to neglect surface tension, and assuming that the free surface is given by an injec…

math.AP2015★ 30 cited

Rank-one convexity implies polyconvexity for isotropic, objective and isochoric elastic energies in the two-dimensional case

Robert J. Martin, Ionel-Dumitrel Ghiba, Patrizio Neff

We show that in the two-dimensional case, every objective, isotropic and isochoric energy function which is rank-one convex on is already polyconvex on $\mathrm{…

math.AP2014★ 5 cited

Nonlinear parabolic flows with dynamic flux on the boundary

Viorel Barbu, Angelo Favini, Gabriela Marinoschi

A nonlinear divergence parabolic equation with dynamic boundary conditions of Wentzell type is studied. The existence and uniqueness of a strong solution is obtained as the limit o…

math.AP2014★ 10 cited

Global bifurcation of steady gravity water waves with critical layers

Adrian Constantin, Walter Strauss, Eugen Varvaruca

We construct large families of two-dimensional travelling water waves propagating under the influence of gravity in a flow of constant vorticity over a flat bed. A Riemann-Hilbert…

math.AP2012★ 30 cited

Existence theorems in the geometrically non-linear 6-parametric theory of elastic plates

Mircea Birsan, Patrizio Neff

In this paper we show the existence of global minimizers for the geometrically exact, non-linear equations of elastic plates, in the framework of the general 6-parametric shell the…

math.AP2008

Strong solutions for stochastic porous media equations with jumps

Viorel Barbu, Carlo Marinelli

We prove global well-posedness in the strong sense for stochastic generalized porous media equations driven by square integrable martingales with stationary independent increments.

math.AP2006

Variational inequalities in Hilbert spaces with measures and optimal stopping problems

Viorel Barbu, Carlo Marinelli

We study the existence theory for parabolic variational inequalities in weighted spaces with respect to excessive measures associated with a transition semigroup. We characte…