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10th Anniversary of Axioms: Mathematical Physics
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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.
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Keywords
- analytic semigroups
- Bäcklund transformations
- Biology, Life Sciences
- Blow-up
- boundary control
- 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
- 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 & 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 & interdisciplinary subjects
- Research & 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, history and development)
- the Liouville equation
- Two-Phase Flow
- vibration control
- weak detonation
- Zoology & animal sciences