Journal of Elasticity

, Volume 135, Issue 1–2, pp 3–72 | Cite as

Scientific Life and Works of Walter Noll

  • Paolo Podio-GuidugliEmail author
  • Epifanio G. Virga


Walter Noll (1925–2017) was an American mathematician of German birth who made lasting contributions to the foundations of continuum physics and the classical non-linear field theory. This essay is an attempt to put in a broader perspective Noll’s methods and achievements in the hope that young generations of researchers may find their inspiration in the talent and depth of the old. By no means should this be considered as a historical account on the development of continuum mechanics through the second half of the twentieth century. We are content to illuminate Noll’s precious legacy.


Foundations of continuum Mechanics Balance equations Stress Contact interactions Constitutive equations Fading memory Thermodynamics Rheology Viscoelastic fluids Molecular mechanics Scale bridging Theory of elasticity Anisotropic media Geometric elasticity Media inhomogeneity 

Mathematics Subject Classification

74A10 74A15 74A20 74A25 74A50 74B20 74D10 74E05 74E10 76A02 76A05 76A10 76A15 82B21 82C21 



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Authors and Affiliations

  1. 1.Accademia Nazionale dei LinceiRomaItaly
  2. 2.Department of MathematicsUniversity of Rome TorVergataRomaItaly
  3. 3.Dipartimento di MatematicaUniversità di PaviaPaviaItaly

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