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11 papers · 1 filter
Pattern formation for the Swift-Hohenberg equation on the hyperbolic plane
Pascal Chossat, Grégory Faye
We present an overview of pattern formation analysis for an analogue of the Swift-Hohenberg equation posed on the real hyperbolic space of dimension two, which we identify with the…
Novel distance indicator for gamma-ray bursts associated with supernovae
G. B. Pisani, L. Izzo, R. Ruffini +5
Context. It has been proposed that the temporal coincidence of a gamma-ray burst (GRB) and a type Ib/c supernova (SN) can be explained with the concept of induced gravitational col…
Photon bubbles in ultra-cold matter
J. T. Mendonca, R. Kaiser
We show that static and oscillating photon bubbles can be excited by diffused light in the laser cooled matter confined in a magneto-optical trap (MOT). The bubble instability is d…
Phase space evolution of pairs created in strong electric fields
Alberto Benedetti, Remo Ruffini, Gregory Vereshchagin
We study the process of energy conversion from overcritical electric field into electron-positron-photon plasma. We solve numerically Vlasov-Boltzmann equations for pairs and photo…
Correlations in complex networks under attack
Animesh Srivastava, Bivas Mitra, Niloy Ganguly +1
For any initial correlated network after any kind of attack where either nodes or edges are removed, we obtain general expressions for the degree-degree probability matrix and degr…
Oscillating waves and optimal smoothing effect for one-dimensional nonlinear scalar conservation laws
Pierre Castelli, Stéphane Junca
Lions, Perthame, Tadmor conjectured in 1994 an optimal smoothing effect for entropy solutions of nonlinear scalar conservations laws . In this short paper we will restrict our atte…