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# Researches

#### Interest:

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

#### Papers:

1. 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,

2. 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,

3. 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.

4. L. Bartczak, Analysis of a thermo-visco-plastic model with Lipschitz continuous constitutive equations, Mathematical Methods in Applied Sciences (online).

5. L. Bartczak and S. Owczarek,

*Existence of solution for a nonlinear model of thermo-visco-plasticity*, arXiv:1408.2663 (preprint).

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