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Classically isospinning Skyrmion solutions [PDF]
Physical Review D, 2014 51 pages, 33 figures; updated to match published version in Phys.
Battye, R A, Haberichter, M, Krusch, S
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Bogomol’nyi equations of classical solutions [PDF]
Physical Review D, 2014 We review the Bogomol'nyi equations and investigate an alternative route in obtaining it. It can be shown that the known BPS equations can be derived directly from the corresponding Euler-Lagrange equations via separation of variables, without having to appeal to the Hamiltonian.
Atmaja, Ardian N., Ramadhan, Handhika S.
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A reaction infiltration problem: classical solutions [PDF]
Proceedings of the Edinburgh Mathematical Society, 1997 In this paper, we consider a reaction infiltration problem consisting of a parabolic equation for the concentration, an elliptic equation for the pressure, and an ordinary differential equation for the porosity. Existence and uniqueness of a global classical solution is proved for bounded domains Ω⊂RN, under suitable boundary conditions.
CHADAM JOHN +3 more
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CLASSICAL SOLUTIONS OF GHOST CONDENSATION MODELS [PDF]
Modern Physics Letters B, 2008 Motivated by ideas obtained from both ghost condensation and gravitational Higgs mechanism, we attempt to find classical solutions in the unitary gauge in general ghost condensation models. It is shown that depending on the form of scalar fields in an action, there are three kinds of exact solutions, which are (anti-) de Sitter space–time ...
Maeno, Masahiro, Oda, Ichiro
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Classical Solution of the Wave Equation [PDF]
International Journal of Modern Physics A, 2003 The classical limit of wave quantum mechanics is analyzed. It is shown that the basic requirements of continuity and finiteness to the solution of the form ψ(x) = Aei ϕ (x) + Be-i ϕ (x), where [Formula: see text] and W(x) is the reduced classical action of the physical system, give the asymptote of the wave equation and general quantization condition ...
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On Classical Solutions of the Nordström-Vlasov System [PDF]
Communications in Partial Differential Equations, 2003 The Nordström-Vlasov system describes the dynamics of a self-gravitating ensemble of collisionless particles in the framework of the Nordström scalar theory of gravitation. We prove existence and uniqueness of classical solutions of the Cauchy problem in three dimensions and establish a condition which guarantees that the solution is global in time ...
Calogero, Simone, Rein, Gerhard
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Classical Skyrmions—static solutions and dynamics [PDF]
Mathematical Methods in the Applied Sciences, 2012 Atomic nuclei can be modelled by Skyrmions with quantised spin and isospin. Skyrmions with a realistic value of the pion mass parameter should be quite compact structures, but few examples beyond baryon number 8 are known. The largest of these is the cubic Skyrmion with baryon number 32, which is a truncated piece of the Skyrme crystal.
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Encoding Compositionality in Classical Planning Solutions
CoRR, 2021 Classical AI planners provide solutions to planning problems in the form of long and opaque text outputs. To aid in the understanding transferability of planning solutions, it is necessary to have a rich and comprehensible representation for both human and computers beyond the current line-by-line text notation. In particular, it is desirable to encode
Angeline Aguinaldo, William Regli
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Supersaturated calcium carbonate solutions are classical [PDF]
Science Advances, 2018 Ions and ion pairs are the species that lead to CaCO 3 nucleation.
Katja Henzler +14 more
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Classical solutions of the Fornberg–Whitham equation
Involve, a Journal of MathematicsIn this paper, we prove well-posedness in $C^1(\mathbb{R})$ (a.k.a. classical solutions) of the Fornberg-Whitham equation. To achieve this objective, we study its weak formulation under a Lagrangian framework. Applying the fundamental theorem of ordinary differential equations to the generated semi-linear system, we then construct a unique solution to ...
Burkhalter, Georgia +2 more
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