This proceedings volume widely surveys new problems, methods and techniques in mathematical physics. The 22 original papers featured are of great interest to various areas of applied mathematics. They are presented in honour of Professor Salvatore Rionero 70th birthday.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings)• Index to Scientific & Technical Proceedings (ISTP ROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical SciencesContents:A Time Dependent Inverse Problem in Photon Transport (A Belleni-Morante)New Applications of a Versatile Liapunov Functional (J N Flavin)Thermodynamic Limit for Spin Glasses (S Graffi)Stabilizing Effects in Fluid Dynamics Problems (G Mulone)An Alternative Kinematics for Multilattices (M Pitteri)On Contact Powers and Null Lagrangian Fluxes (P P Guidugli & G V Caffarelli)Control Aspects in Gas Dynamics (P Renno)A Functional Framework for Applied Continuum Mechanics (G Romano & M Diaco)Exchange of Stabilities in Porous Media and Penetrative Convection Effects (B Straughan)Effects of Adaptation on Competition among Species (D Lacitignola & C Tebaldi)and other papersReadership: Graduate students, academics and researchers in mathematical physics.