This volume contains a selection of the invited papers presented at a LMS Durham Symposium on modern developments in non-classical continuum mechanics.
This volume contains a selection of the invited papers presented at a LMS Durham Symposium on modern developments in non-classical continuum mechanics.
Part I. Principal Lectures: 1. Pulse reflection by a random medium R. Burridge, G. C. Papanicolaou, P. Sheng and B. White; 2. Shape memory alloys - phenomenology and simulation I. Muller; 3. Relativistic extended thermodynamics I. Muller; 4. Spectra of singularly perturbed operators O. A. Oleinik; 5. Conservation laws in continuum mechanics P. J. Oliver; 6. On geometric and modeling perturbations in partial differential equations L. E. Payne; 7. The appearance of oscillations in optimization problems L. Tartar; Part II. Single Invited Lectures: 8. Some mathematical problems arising from the oil service industry C. Atkinson, P. S. Hammond, M. Sheppard and I. J. Sobey; 9. Randomly diluted inhomogeneous elastic networks near the percolation threshold D. J. Bergman; 10. Adaptive anisotropy: an example in living bone S. C. Cowin; 11. Stability of elastic crystals I. Fonseca; 12. Optimal bounds for conduction in two-dimensional, two-phase, anisotropic media G. A. Francfort and F. Murat; 13. Rapid flows of granular materials J. T. Jenkins; 14. The constrained least gradient problem R. Kohn and G. Strang; 15. The fusion of physical and continuum-mechanical concepts in the formulation of constitutive relations for elastic-plastic materials E. H. Lee and A. Agah-Tehrani; 16. Singularities in elliptic non-smooth problems. Applications to elasticity D. Leguillon and E. Sanchez-Palencia; 17. Solitons in elastic solids exhibiting phase transitions G. A. Maugin; 18. On the dynamics of structural phase transitions in shape memory alloy M. Niezgodka and J. Sprekels; 19. On the homogenization of some free boundary problems J. R. Rodrigues; 20. The point interaction approximation, viscous flow through porous media, and related topics J. Rubinstein; 21. The vanishing viscosity-capillarity approach to the Riemann problem for a Van Der Waals fluid M. Slemrod.
Part I. Principal Lectures: 1. Pulse reflection by a random medium R. Burridge, G. C. Papanicolaou, P. Sheng and B. White; 2. Shape memory alloys - phenomenology and simulation I. Muller; 3. Relativistic extended thermodynamics I. Muller; 4. Spectra of singularly perturbed operators O. A. Oleinik; 5. Conservation laws in continuum mechanics P. J. Oliver; 6. On geometric and modeling perturbations in partial differential equations L. E. Payne; 7. The appearance of oscillations in optimization problems L. Tartar; Part II. Single Invited Lectures: 8. Some mathematical problems arising from the oil service industry C. Atkinson, P. S. Hammond, M. Sheppard and I. J. Sobey; 9. Randomly diluted inhomogeneous elastic networks near the percolation threshold D. J. Bergman; 10. Adaptive anisotropy: an example in living bone S. C. Cowin; 11. Stability of elastic crystals I. Fonseca; 12. Optimal bounds for conduction in two-dimensional, two-phase, anisotropic media G. A. Francfort and F. Murat; 13. Rapid flows of granular materials J. T. Jenkins; 14. The constrained least gradient problem R. Kohn and G. Strang; 15. The fusion of physical and continuum-mechanical concepts in the formulation of constitutive relations for elastic-plastic materials E. H. Lee and A. Agah-Tehrani; 16. Singularities in elliptic non-smooth problems. Applications to elasticity D. Leguillon and E. Sanchez-Palencia; 17. Solitons in elastic solids exhibiting phase transitions G. A. Maugin; 18. On the dynamics of structural phase transitions in shape memory alloy M. Niezgodka and J. Sprekels; 19. On the homogenization of some free boundary problems J. R. Rodrigues; 20. The point interaction approximation, viscous flow through porous media, and related topics J. Rubinstein; 21. The vanishing viscosity-capillarity approach to the Riemann problem for a Van Der Waals fluid M. Slemrod.
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