Results 81 to 90 of about 82,407 (180)
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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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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Modeling a Quantum Hall System via Elliptic Equations
Advances in Mathematical Physics, 2009 Quantum Hall systems are a suitable theme for a case study in the general area of nanotechnology. In particular, it is a good framework to search for universal principles relevant to nanosystem modeling and nanosystem-specific signal processing. Recently,
Artur Sowa
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Interaction of exact gravitational waves with matter
Physics Letters BWe consider interactions of exact (i.e., solutions of full nonlinear field equations) gravitational waves with matter by using the Einstein-Boltzmann equation.
Morteza Mohseni, Saurya Das
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Electronic response of graphene to an ultrashort intense terahertz radiation pulse
New Journal of Physics, 2013 We have recently reported a study (Ishikawa 2010 Phys. Rev. B 82 201402) on a nonlinear optical response of graphene to a normally incident terahertz radiation pulse within the massless Dirac fermion (MDF) picture, where we have derived physically ...
Kenichi L Ishikawa
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Electronic Journal of Differential Equations, 2015 We introduce a nonlinear degenerate parabolic equation containing a nonlocal term. The equation serves as a replicator dynamics model where the set of strategies is a continuum.
Vassilis G. Papanicolaou +1 more
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Nonlinear modes of the tensor Dirac equation and CPT violation [PDF]
Recently, it has been shown that Dirac's bispinor equation can be expressed, in an equivalent tensor form, as a constrained Yang-Mills equation in the limit of an infinitely large coupling constant.
Morris, Randall D., Reifler, Frank J.
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Subgroups of the Group of Generalized Lorentz Transformations and Their Geometric Invariants
Symmetry, Integrability and Geometry: Methods and Applications, 2005 It is shown that the group of generalized Lorentz transformations serves as relativistic symmetry group of a flat Finslerian event space. Being the generalization of Minkowski space, the Finslerian event space arises from the spontaneous breaking of ...
George Bogoslovsky
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One dimensional Dirac equation with quadratic nonlinearities
Discrete & Continuous Dynamical Systems - A, 2005 The author considers the \(1\)-dimensional Cauchy problem of Dirac equations with quadratic nonlinear term: \[ (i\gamma^0 \partial_t +i \gamma^1 \partial_x) u+mu=F(u), \quad u(0,x)=\phi(x), \leqno (\text{NLD})_m \] where \(m\) is a mass and nonnegative, \(u(t,x)\), \(t,x \in \mathbb{R}\), is an unknown function with values in \(\mathbb{C}^2\), \(\gamma^
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Self-consistent Strong Screening Applied to Thermonuclear Reactions
The Astrophysical JournalSelf-consistent strong plasma screening around light nuclei is implemented in the Big Bang nucleosynthesis (BBN) epoch to determine the short-range screening potential, e ϕ ( r )/ T ≥ 1, relevant for thermonuclear reactions.
Christopher Grayson +3 more
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