Phase Transitions and Hysteresis

Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, July 13 - 21, 1993
1994
ISBN: 978-3-540-58386-8
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1584, 296 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 464 g

Reihe: Lecture Notes in Mathematics

1) Phase Transitions, represented by generalizations of the classical Stefan problem. This is studied by Kenmochi and Rodrigues by means of variational techniques.
2) Hysteresis Phenomena. Some alloys exhibit shape memory effects, corresponding to a stress-strain relation which strongly depends on temperature; mathematical physical aspects are treated in Müller's paper. In a general framework, hysteresis can be described by means of hysteresis operators in Banach spaces of time dependent functions; their properties are studied by Brokate.
3) Numerical analysis. Several models of the phenomena above can be formulated in terms of nonlinear parabolic equations. Here Verdi deals with the most updated approximation techniques.

Zielgruppe

Research

Autoren/Hrsg.

Visintin, Augusto

Weitere Mitwirkende

Brokate, M.

Kenmochi, N.

Müller, I.

Rodriguez, J.F.

Verdi, C.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Thermodynamik Physik der Zustandsübergänge

Inhaltsverzeichnis

Hysteresis operators.- Systems of nonlinear PDEs arising from dynamical phase transitions.- Quasiplasticity and pseudoelasticity in shape memory alloys.- Variational methods in the stefan problem.- Numerical aspects of parabolic free boundary and hysteresis problems.