It is well known that inequalities are a very important tool in classical analysis. One application of these inequalities is the theory of PDEs (Partial Differential Equations). To our …
SJ Watson - Archive for rational mechanics and analysis, 2000 - Springer
The balance laws of mass, momentum and energy are considered for a broad class of one- dimensional nonlinear thermoviscoelastic materials. For the initial-boundary value problem …
T Roubíček - Quarterly of applied mathematics, 2009 - ams.org
Existence of a very weak solution to the $ d $-dimensional thermo-visco-elasticity system for Kelvin-Voigt-type material at small strains involving (possibly nonlinear) monotone viscosity …
B Ducomet, A Zlotnik - Journal of Differential Equations, 2003 - Elsevier
We consider the Navier–Stokes system describing motions of viscous compressible heat- conducting and “self-gravitating” media. We use the state function of the form p (u, θ)= p0 …
I Pawłow, W Zajączkowski - Control and Cybernetics, 2003 - eudml.org
E-mail: wz@ impan. gov. pl Abstract: The paper surveys mathematical models of thermomechanical evolution of shape memory alloys and related mathemati cal results. The …