The existence of steady shock waves in nonlinear materials with memory

1967 ◽  
Vol 24 (1) ◽  
pp. 1-21 ◽  
Author(s):  
James M. Greenberg
Keyword(s):  
Shock Waves ◽  
Materials With Memory ◽  
Nonlinear Materials ◽  
With Memory ◽  
Steady Shock

DISSIPATIVITY AND IRREVERSIBILITY OF ELECTROMAGNETIC SYSTEMS

2000 ◽  
Vol 10 (02) ◽  
pp. 217-246 ◽  
Author(s):  
MAURO FABRIZIO ◽  
ANGELO MORRO
Keyword(s):  
Initial Boundary ◽  
Initial Boundary Value Problems ◽  
Free Enthalpy ◽  
Materials With Memory ◽  
New Approach ◽  
Nonlinear Materials ◽  
Systems With Memory ◽  
Initial Boundary Value ◽  
Thermodynamic Restrictions ◽  
With Memory

A new approach is developed for the thermodynamics of electromagnetic materials with memory by viewing them as dynamical systems. Though results are also derived for nonlinear materials with instantaneous response, an exhaustive set of thermodynamic restrictions is derived for the case where the response is determined by linear functionals of the histories of the electric field and the magnetic field. The kernels of the functionals are shown to be subject to thermodynamic restrictions which are of basic importance in wave propagation and initial boundary value problems. The non-uniqueness of the free enthalpy is examined and exemplified. The maximal free enthalpy is determined thus showing that the Clausius–Duhem inequality may hold as an equality also for systems with memory.

On shock waves in materials with memory

Wave Motion ◽  
1997 ◽  
Vol 25 (1) ◽  
pp. 73-81 ◽  
Author(s):  
S. Hazanov
Keyword(s):  
Shock Waves ◽  
Materials With Memory ◽  
With Memory

Shock waves in a mixture of chemically reacting materials with memory

1975 ◽  
Vol 21 (1-2) ◽  
pp. 1-11 ◽  
Author(s):  
Ray M. Bowen ◽  
Peter J. Chen ◽  
Jace W. Nunziato
Keyword(s):  
Shock Waves ◽  
Materials With Memory ◽  
Chemically Reacting ◽  
With Memory

Free Energies for Nonlinear Materials with Memory

2021 ◽  
pp. 463-471
Author(s):  
Giovambattista Amendola ◽  
Mauro Fabrizio ◽  
John Golden
Keyword(s):  
Free Energies ◽  
Materials With Memory ◽  
Nonlinear Materials ◽  
With Memory
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