1. 10th Anniversary of Axioms: Mathematical Physics.
- Author
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Haubold, Hans and Haubold, Hans
- Subjects
Research & information: general ,Biology, life sciences ,Zoology & animal sciences ,weak detonation ,high activation regime ,nonlinear PDEs ,Fuchsian reduction analysis ,Lorentz transformation ,blow-up ,hot spot ,chemically reactive flows ,nonlinear equations in partial derivatives ,hyperbolic equations ,Bäcklund transformations ,Clairin's method ,differential relationships ,the Liouville equation ,symbolic calculus ,canonical system of q-difference equations ,q-Euler integral ,multi-term fractional differential equation ,quasilinear equation ,Riemann-Liouville fractional derivative ,defect of Cauchy type problem ,fixed point theorem ,initial-boundary value problem ,deformed numbers ,deformed algebras ,deformed calculus ,nonadditive entropy ,vibration control ,boundary control ,intermediate state control ,separation of variables ,Riemann-Liouville fractional differential equations ,nonlocal boundary conditions ,positive parameters ,positive solutions ,existence ,nonexistence ,Patlak-Keller-Segel systems ,the Cattaneo model of chemosensitive movement ,hyperbolic models ,shock waves ,conservation laws ,constrained Hamiltonian system ,canonicalization ,symplectic method ,numerical simulation ,extended Chebyshev functional ,generalized proportional Hadamard fractional integral operator ,manipulation system ,geometric approach ,noninteraction ,two-phase flow ,Sobolev spaces ,analytic semigroups ,fractional interpolation ,local and global solutions ,seismic tensorial force ,far-field seismic waves ,near-field seismic waves ,seismic mainshock ,quasi-static deformations ,mathematical physics ,Elliott Lieb ,the International Association of Mathematical Physics (IAMP, history and development) ,Letters in Mathematical Physics (LMP) ,history ,God as an (optional) axiom ,metamathematics ,symmetries ,particle physics ,n/a - 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.