10th Anniversary of Axioms: Mathematical Physics

• Format: eBook
• Language: English
• Published: Basel MDPI - Multidisciplinary Digital Publishing Institute 2023
• Subjects: analytic semigroups; Biology, life sciences; blow-up; boundary control; Bäcklund transformations; canonical system of q-difference equations; canonicalization; chemically reactive flows; Clairin’s method; conservation laws; constrained Hamiltonian system; defect of Cauchy type problem; deformed algebras; deformed calculus; deformed numbers; differential relationships; Elliott Lieb; existence; extended Chebyshev functional; far-field seismic waves; fixed point theorem; fractional interpolation; Fuchsian reduction analysis; generalized proportional Hadamard fractional integral operator; geometric approach; God as an (optional) axiom; high activation regime; history; history and development; hot spot; hyperbolic equations; hyperbolic models; initial-boundary value problem; intermediate state control; Letters in Mathematical Physics (LMP); local and global solutions; Lorentz transformation; manipulation system; mathematical physics; Mathematics and Science; metamathematics; multi-term fractional differential equation; n/a; near-field seismic waves; nonadditive entropy; nonexistence; noninteraction; nonlinear equations in partial derivatives; nonlinear PDEs; nonlocal boundary conditions; numerical simulation; particle physics; Patlak–Keller–Segel systems; positive parameters; positive solutions; q-Euler integral; quasi-static deformations; quasilinear equation; Reference, Information and Interdisciplinary subjects; Research and information: general; Riemann–Liouville fractional derivative; Riemann–Liouville fractional differential equations; seismic mainshock; seismic tensorial force; separation of variables; shock waves; Sobolev spaces; symbolic calculus; symmetries; symplectic method; the Cattaneo model of chemosensitive movement; the International Association of Mathematical Physics (IAMP; the Liouville equation; two-phase flow; vibration control; weak detonation; Zoology and animal sciences
• ISBN: 9783036568669; 9783036568676; 3036568662; 3036568670
• DOI: 10.3390/books978-3-0365-6866-9

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.