498 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- European Organization for Nuclear ResearchCH625 papers
- Northern Illinois UniversityUS620 papers
- University of OklahomaUS619 papers
- Ludwig-Maximilians-Universität MünchenDE618 papers
- Max Planck Institute for PhysicsDE618 papers
- The University of AdelaideAU618 papers
- University of Rome Tor VergataIT618 papers
- Technion – Israel Institute of TechnologyIL617 papers
- Tel Aviv UniversityIL617 papers
- Université Paris-SaclayFR617 papers
- University of BonnDE617 papers
- University of California, Santa CruzUS617 papers
22 papers · 1 filter
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…
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…
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…
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…
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…
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…
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…
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…
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}…
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…
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…
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…
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…
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…
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…
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…
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{…
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…
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…
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…
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.
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…