Results 21 to 30 of about 7,757,053 (329)

Vlasov moments, integrable systems and singular solutions

, 2007
The Vlasov equation for the collisionless evolution of the single-particle probability distribution function (PDF) is a well-known Lie-Poisson Hamiltonian system. Remarkably, the operation of taking the moments of the Vlasov PDF preserves the Lie-Poisson
Benney, Bloch, Bloch, Camassa, Caprino, Cendra, Cendra, Cesare Tronci, Chen, Cousineau, Darryl D. Holm, Dragt, Dubin, Falqui, Gibbons, Gibbons, Gibbons, Gibbons, Gibbons, Holm, Holm, Holm, Holm, Holm, Holm, Holm, John Gibbons, Koscielniak, Kupershmidt, Kuz'min, Lebedev, Lebedev, Marsden, Marsden, Marsden, Qin, Schamel, Scovel, Venturini, Weinstein   +39 more
core   +1 more source

Study of Quark Propagator Solutions to the Dyson--Schwinger Equation in a Confining Model [PDF]

, 1996
We solve the Dyson--Schwinger equation for the quark propagator in a model with singular infrared behavior for the gluon propagator. We require that the solutions, easily found in configuration space, be tempered distributions and thus have Fourier ...
A. I. Davydychev, C. Burden, C. Roberts, C. Roberts, Douglas W. McKay, H. J. Munczek, H. J. Munczek, H. J. Munczek, H. Pagels, Herman J. Munczek, I. M. Gelfand, J. Lowenstein, M. Baker, N. Brown, P. Jain, R. Alkofer, S. Blaha, S. Mandelstam, U. Bar-Gadda, V. Gogohia   +19 more
core   +2 more sources

About the barotropic compressible quantum Navier-Stokes equations [PDF]

, 2014
In this paper we consider the barotropic compressible quantum Navier-Stokes equations with a linear density dependent viscosity and its limit when the scaled Planck constant vanish.
Gisclon, M., Lacroix-Violet, I.
core   +5 more sources

Singular solutions of fractional order conformal Laplacians

, 2011
We investigate the singular sets of solutions of conformally covariant elliptic operators of fractional order with the goal of developing generalizations of some well-known properties of solutions of the singular Yamabe ...
Gonzalez, Maria del Mar, Mazzeo, Rafe, Sire, Yannick   +2 more
core   +1 more source

Some remarks on singular solutions of nonlinear elliptic equations. I [PDF]

, 2009
The paper concerns singular solutions of nonlinear elliptic ...
Caffarelli, Luis, Li, YanYan, Nirenberg, Louis   +2 more
core   +1 more source

Singularites in the Bousseneq equation and in the generalized KdV equation

, 2001
In this paper, two kinds of the exact singular solutions are obtained by the improved homogeneous balance (HB) method and a nonlinear transformation. The two exact solutions show that special singular wave patterns exists in the classical model of some ...
A. C. Newell, A. Yu. Kamenshhik, Akira Nakamura, B. J. Gluckman, B. P. Luce, C. R. Doering, C. S. Gardner, D. Bazeia, G. B. Whitham, J. Bonssinesq, J. Eggers, J. Weiss, K. R. Sreenivasan, L. M. Hocking, L. Yang, M. Adler, M. J. Ablowitz, M. J. Landman, M. P. Brenner, M. S. Longuet-Higgins, M. Wang, N. B. Tufillaro, P. G. Drazin, P. Rosenau, P. Rosenau, R. Hirota, U. Frisch, V. I. Karpman, V. I. Karpman, V. M. Galkin, Yang Kongqing, Yang Lei   +31 more
core   +1 more source

Subharmonic Solutions in Singular Systems

Journal of Differential Equations, 1996
The authors consider the problem of bifurcation of periodic solutions in singular systems of differential equations \[ \varepsilon\dot{u}=f(u)+\varepsilon g(t,u,\varepsilon)\quad u\in\mathbb{R}^n, \] where \(g(t+2,u,\varepsilon)=g(t,u,\varepsilon)\) and \(\dot{u}=f(u)\) has an orbit \(\gamma(t)\) homoclinic to a hyperbolic equilibrium point \(p\).
Battelli, Flaviano, Fečkan, Michal
openaire   +2 more sources

Spatiotemporal and quantitative analyses of phosphoinositides – fluorescent probe—and mass spectrometry‐based approaches

FEBS Letters, EarlyView.
Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho, Shin Morioka, Junko Sasaki, Takehiko Sasaki   +3 more
wiley   +1 more source

PERTURBING SINGULAR SOLUTIONS OF THE GELFAND PROBLEM [PDF]

Communications in Contemporary Mathematics, 2007
The equation -Δu = λeuposed in the unit ball B ⊆ ℝN, with homogeneous Dirichlet condition u|∂B= 0, has the singular solution [Formula: see text] when λ = 2(N - 2). If N ≥ 4 we show that under small deformations of the ball there is a singular solution (u,λ) close to (U,2(N - 2)).
Davila, J., Dupaigne, L.
openaire   +4 more sources

Holomorphic and Singular Solutions of q-Difference-Differential Equations of Briot-Bouquet Type

, 2016
. In 1990, Ge´rard-Tahara [4] introduced the Briot-Bouquet type partial di¤erential equation t q t u ¼ F ð t ; x ; u ; q x u Þ , and they determined the structure of holomorphic and singular solutions provided that the characteristic exponent r ð x Þ ...
H. Yamazawa
semanticscholar   +1 more source