Results 81 to 90 of about 76,709 (184)
Structural Stability and General Relativity
UniverseWe review recent developments in structural stability as applied to key topics in general relativity. For a nonlinear dynamical system arising from the Einstein equations by a symmetry reduction, bifurcation theory fully characterizes the set of all ...
Spiros Cotsakis
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Particles, 2019 On the basis of the well-known kinetic description of e − e + vacuum pair creation in strong electromagnetic fields in D = 3 + 1 QED we construct a nonperturbative kinetic approach to electron-hole excitations in graphene under ...
Stanislav A. Smolyansky +3 more
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Canonical description of incompressible fluid -- Dirac brackets approach
, 2010 We present a novel canonical description of the incompressible fluid dynamics. This description uses the dynamical constraints, in our case reflecting "incompressibility" assumption, and leads to replacement of usual hydrodynamical Poisson brackets for ...
Arnold +16 more
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EXACT LOCALIZED SOLUTION OF THE NONLINEAR DIRAC EQUATION
, 2023 MAJOR ADVISOR: Dr. A. K. MISHRA ABSTRACT The nonlinear Dirac equation is a relativistic classical field theory that describes the behavior of a system of self-interacting spinor fields. According to this theory, the interactions among spinor fields are represented by additional Kerr-nonlinearity added to the Dirac equation, which justifies and models
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Weakly localized states for nonlinear Dirac equations [PDF]
Calculus of Variations and Partial Differential Equations, 2018 We prove the existence of infinitely many non square-integrable stationary solutions for a family of massless Dirac equations in 2D. They appear as effective equations in two dimensional honeycomb structures. We give a direct existence proof thanks to a particular radial ansatz, which also allows to provide the exact asymptotic behavior of spinor ...
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Small global solutions for nonlinear Dirac equations
Differential and Integral Equations, 2004 The global Cauchy problem for nonlinear Dirac and Klein-Gordon equations in space--time $\mathbb R^{n+1}$ is studied in Sobolev and Besov spaces. Global existence of small solutions is proved under a scale-invariant setting when reduced to the corresponding massless case.
Machihara, Shuji +2 more
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Charged spinning fermionic configurations and a mass gap
European Physical Journal C: Particles and FieldsWe consider a self-consistent axially symmetric system supported by a classical nonlinear spinor field minimally coupled to electric and magnetic Maxwell fields.
Vladimir Dzhunushaliev +1 more
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Calculation of Wall Heat Conductivity under Non-Symmetric Boundary Conditions
Известия высших учебных заведений и энергетических объединенний СНГ: Энергетика, 2010 A mathematical model for heating multi-layer walls with non-symmetric boundary surface conditions has been developed in the paper. Advancing of phase transformation front along cross-section is considered with the purpose to take into account phase and ...
R. I. Yesman
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Demonstratio MathematicaWe consider the boundary value problem generated by a system of Dirac equations with polynomials of spectral parameter in the boundary condition. We investigate the continuity of the scattering function and provide Levinson-type formula, which shows that
Çöl Aynur
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Numerical solution to nonlinear Tricomi equation using WENO schemes
Electronic Journal of Differential Equations, 2010 Nonlinear Tricomi equation is a hybrid (hyperbolic-elliptic) second order partial differential equation, modelling the sonic boom focusing. In this paper, the Tricomi equation is transformed into a hyperbolic system of first order equations, in ...
Adrian Sescu +2 more
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