activity
20132025
most citedA global higher regularity result for the static relaxed micromorphic model on smooth domains

6 citations · 12 across the 9 of their papers we have counts for

collaborators

13 papers

math.AP2025

Entropy-energy solutions for Thermo-Visco-Elastic systems with Mróz-type inelastic behavior

Tomasz Cieślak, Sebastian Owczarek, Karolina Wielgos

In this article, we study a thermodynamically consistent thermo-visco-elastic model describing the balance of internal energy in a heat-conducting inelastic body. In the considered…

math.AP2024

Global regularity for a physically nonlinear version of the relaxed micromorphic model on Lipschitz domains

Dorothee Knees, Sebastian Owczarek, Patrizio Neff

In this paper, we investigate the global higher regularity properties of weak solutions for a linear elliptic system coupled with a nonlinear Maxwell-type system defined on Lipschi…

math.AP2023★ 6 cited

A global higher regularity result for the static relaxed micromorphic model on smooth domains

Dorothee Knees, Sebastian Owczarek, Patrizio Neff

We derive a global higher regularity result for weak solutions of the linear relaxed micromorphic model on smooth domains. The governing equations consist of a linear elliptic syst…

math.AP2022★ 2 cited

A local regularity result for the relaxed micromorphic model based on inner variations

Dorothee Knees, Sebastian Owczarek, Patrizio Neff

In this paper we study local higher regularity properties of a linear elliptic system that is coupled with a system of Maxwell-type. The regularity result is proved by means of a m…

math.AP2021

A Norton-Hoff model with an elastic and inelastic constitutive relationships dependent on temperature

Sebastian Owczarek

The aim of this paper is to prove the existence of weak solution for a quasi-static evolution of thermo-visco-elastic model with Norton-Hoff law of plasticity. The dependence on te…

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.AP2019

Existence results for non-homogeneous boundary conditions in the relaxed micromorphic model

Ionel-Dumitrel Ghiba, Patrizio Neff, Sebastian Owczarek

In this paper we use a property of the extension operator from the space of tangential traces of in the context of the linear relaxed micromorphic model, a…

math.AP2018

Nonstandard micro-inertia terms in the relaxed micromorphic model: well-posedness for dynamics

Sebastian Owczarek, Ionel-Dumitrel Ghiba, Marco-Valerio d'Agostino +1

We study the existence of solutions arising from the modelling of elastic materials using generalized theories of continua. In view of some evidence from physics of meta-materials…

math.AP2016

On renormalised solution for thermomechanical problem in perfect - plasticity

Leszek Bartczak, Sebastian Owczarek

We consider the quasi-static evolution of the thermo-plasticity model in which the evolution equation law for the inelastic strain is given by the Prandtl-Reuss flow rule. The ther…

math.AP2015

Renormalised solutions in thermo-visco-plasticity for a Norton-Hoff type model. Part I: the truncated case

Krzysztof Chełmiński, Sebastian Owczarek

We prove existence of global in time strong solutions to the truncated thermo- visco-plasticity with an inelastic constitutive function of Norton-Hoff type. This result is a starti…

math.AP2014

Existence of solution for a nonlinear model of thermo-visco-plasticity

Leszek Bartczak, Sebastian Owczarek

We study a thermodynamically consistent model describing phenomena in a visco-plastic metal subjected to temperature changes. We complete the model with the mixed boundary conditio…

math.AP2014

A first regularity result for the Armstrong-Frederick cyclic hardening plasticity model with Cosserat effects

Krzysztof Chełmiński, Patrizio Neff, Sebastian Owczarek

The purpose of this article is to prove the Hölder continuity up to the boundary of the displacement vector and the microrotation matrix for the quasistatic, rate-independent Armst…

math.AP2013★ 1 cited

The Armstrong-Frederick cyclic hardening plasticity model with Cosserat effects

Krzysztof Chelminski, Patrizio Neff, Sebastian Owczarek

We propose an extension of the cyclic hardening plasticity model formulated by Armstrong and Frederick which includes micropolar effects. Our micropolar extension establishes coerc…