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# Researches

#### Interest:

Partial differential equations, continuum mechanics, thermo-visco-plasticity

#### Papers:

- L. Bartczak, Asymptotic behaviour of solutions to coercive models of monotone type for inelastic deformation with damping, Asymptotic Analysis, v. 63 (4), pp. 237–252, 2009,
- L. Bartczak, On existence of global in time solutions to thermoelasticity with a quadratic nonlinearity for small data, Topological Methods in Nonlinear Analysis, v. 41 (1), pp. 67-84, 2013,
- L. Bartczak, Mathematical analysis of a thermo-visco-plastic model with Bodner - Partom constitutive equations, Journal of Mathematical Analysis and Applications, 385, pp. 961-974, 2012,
- L. Bartczak, Analysis of a thermo-visco-plastic model with Lipschitz continuous constitutive equations, Mathematical Methods in Applied Sciences, v. 37, pp. 2597–2614, 2014,
- L. Bartczak and S. Owczarek, Existence of solution for a nonlinear model of thermo-visco-plasticity, Mathematical Methods in Applied Sciences, 2018,
- L. Bartczak and S. Owczarek, On renormalized solutions for thermomechanical problems in perfect plasticity with damping forces , Mathematics and Mechanics of Solids, 2018.

Doctorial thesis (in Polish): "Analiza matematyczna równań termolepkoplastycznosci", 2012