10th Anniversary of Axioms: Mathematical Physics

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 broa...

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collection Directory of Open Access Books
description 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.
format Online
id doab-20.500.12854ir-98866
institution Directory of Open Access Books
language eng
publishDate 2023
publishDateRange 2023
publishDateSort 2023
publisher MDPI - Multidisciplinary Digital Publishing Institute
publisherStr MDPI - Multidisciplinary Digital Publishing Institute
record_format ojs
spelling doab-20.500.12854ir-988662024-03-28T03:32:32Z 10th Anniversary of Axioms: Mathematical Physics Haubold, Hans 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 thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science thema EDItEUR::P Mathematics and Science::PB Mathematics::PBT Probability and statistics 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. 2023-04-05T12:56:18Z 2023-04-05T12:56:18Z 2023 book ONIX_20230405_9783036568676_145 9783036568676 9783036568669 https://directory.doabooks.org/handle/20.500.12854/98866 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/6919 https://mdpi.com/books/pdfview/book/6919 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-6866-9 10.3390/books978-3-0365-6866-9 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036568676 9783036568669 234 Basel open access
spellingShingle 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
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBT Probability and statistics
10th Anniversary of Axioms: Mathematical Physics
title 10th Anniversary of Axioms: Mathematical Physics
title_full 10th Anniversary of Axioms: Mathematical Physics
title_fullStr 10th Anniversary of Axioms: Mathematical Physics
title_full_unstemmed 10th Anniversary of Axioms: Mathematical Physics
title_short 10th Anniversary of Axioms: Mathematical Physics
title_sort 10th anniversary of axioms mathematical physics
topic 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
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBT Probability and statistics
topic_facet 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
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBT Probability and statistics
url ONIX_20230405_9783036568676_145