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We derive an asymptotic equation that describes the propagation
of weakly nonlinear surface waves on a tangential discontinuity
in incompressible magnetohydrodynamics. The equation is similar
to, but simpler than, previously derived asymptotic
equations for weakly nonlinear Rayleigh waves in… |
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In this paper, a reaction-diffusion prey-predator system including the fear effect of predator on prey population and group defense has been considered. The conditions for the onset of cross-diffusion-driven instability are obtained by linear stability analysis. The… |
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In this article we obtain rates of convergence to equilibrium of marked Hawkes processes in two situations. Firstly, the stationary process is the empty process, in which case we speak of the rate of extinction. Secondly, the stationary process is the unique stationary and non trivial marked Hawkes… |
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In the present paper, we propose a numerical method for the simultaneous approximation of the finite Hilbert and Hadamard transforms of a given function f, supposing to know only the samples of f at equidistant points. As reference interval we consider [-1,1] and as approximation tool we use… |
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The ultimate regime of thermal convection, the so called Kraichnan regime (R. H. Kraichnan, Phys. Fluids 5, 1374 (1962)), hitherto has been elusive. Here, numerical evidence for that regime is presented by performing simulations of the bulk of turbulence only, eliminating the thermal and kinetic… |
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The optimal Orlicz target space is exhibited for embeddings of fractional-order Orlicz-Sobolev spaces in $R^n$. An improved embedding with an Orlicz-Lorentz target space, which is optimal in the broader class of all rearrangement-invariant spaces, is also established. Both spaces of order s in (0,… |
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With reference to a defined contribution pension scheme, this paper investigates the computation of suitable risk indicators in a fair valuation context. This subject involves theoretical isuues about the choice of the models for the dynamics of interest and mortality rates. The risk analysis is… |
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