Existence and uniqueness for the three-dimensional thermoelasticity system in shape memory problems

• Autorzy: Irena Pawłow , Antoni Żochowski
• Języki publikacji: EN

Abstrakty

EN

A thermodynamically consistent model of shape memory alloys in three dimensions is studied. The thermoelasticity system, based on the strain tensor, its gradient and the absolute temperature, generalizes the well-known one-dimensional Falk model. Under simplifying structural assumptions we prove global in time existence and uniqueness of the solution.

Kategorie tematyczne

• 74B20: Nonlinear elasticity
• 35K60: Nonlinear initial value problems for linear parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2003
• Tom: 60
• Numer: 1
• Strony: 319-335

Daty

wydano

2003

Twórcy

autor

Irena Pawłow

• Systems Research Institute, of the Polish Academy of Sciences, ul. Newelska 6, 01-447 Warszawa, Poland

autor

Antoni Żochowski

• Systems Research Institute, of the Polish Academy of Sciences, ul. Newelska 6, 01-447 Warszawa, Poland

Identyfikatory

DOI

10.4064/bc60-0-25