1. 10th Anniversary of Axioms: Mathematical Physics.
- Author
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Haubold, Hans and Haubold, Hans
- Subjects
Biology, life sciences ,Research & information: general ,Zoology & animal sciences ,Bäcklund transformations ,Clairin's method ,Elliott Lieb ,Fuchsian reduction analysis ,God as an (optional) axiom ,Letters in Mathematical Physics (LMP) ,Lorentz transformation ,Patlak-Keller-Segel systems ,Riemann-Liouville fractional derivative ,Riemann-Liouville fractional differential equations ,Sobolev spaces ,analytic semigroups ,blow-up ,boundary control ,canonical system of q-difference equations ,canonicalization ,chemically reactive flows ,conservation laws ,constrained Hamiltonian system ,defect of Cauchy type problem ,deformed algebras ,deformed calculus ,deformed numbers ,differential relationships ,existence ,extended Chebyshev functional ,far-field seismic waves ,fixed point theorem ,fractional interpolation ,generalized proportional Hadamard fractional integral operator ,geometric approach ,high activation regime ,history ,hot spot ,hyperbolic equations ,hyperbolic models ,initial-boundary value problem ,intermediate state control ,local and global solutions ,manipulation system ,mathematical physics ,metamathematics ,multi-term fractional differential equation ,n/a ,near-field seismic waves ,nonadditive entropy ,nonexistence ,noninteraction ,nonlinear PDEs ,nonlinear equations in partial derivatives ,nonlocal boundary conditions ,numerical simulation ,particle physics ,positive parameters ,positive solutions ,q-Euler integral ,quasi-static deformations ,quasilinear equation ,seismic mainshock ,seismic tensorial force ,separation of variables ,shock waves ,symbolic calculus ,symmetries ,symplectic method ,the Cattaneo model of chemosensitive movement ,the International Association of Mathematical Physics (IAMP, history and development) ,the Liouville equation ,two-phase flow ,vibration control ,weak detonation - Abstract
Summary: This Special Issue of the journal Axioms collects submissions in which the authors report their perceptions and results in the field of mathematical physics and/or physical mathematics without any preconditions of the specific research topic. The papers are intended to provide the reader with a broad window into the status of the research field showing our understanding of how a known concept changes our thinking in that area of science. The papers in the Special Issue highlight the current two issues in physics and mathematics under hot debate: fractional calculus and entropy.