Academy of Athens

The Fokas method for linear convection–diffusion equation with time-dependent coefficients and its extension to other evolution equations

Abstract In this paper, we study a linear convection–diffusion equation with time-dependent coefficients on a bounded interval, motivated by associated physical problems. We apply and adapt the unified transform method (UTM), also known as the Fokas method, which handles both tim...

Volcano–climate interactions: reframing the volcano–climate puzzle

Explosive volcanic eruptions are major natural perturbations of the Earth system. By increasing stratospheric aerosol loading, they exert a dual radiative forcing: enhanced scattering of incoming solar radiation induces global surface cooling, while absorption of terrestrial radi...

Highly suppressed tensor-to-scalar ratio from a modified Lennard–Jones inflationary potential

Abstract The increasingly stringent observational bounds on primordial gravitational waves strongly constrain inflationary model building, favoring scenarios that predict highly suppressed tensor perturbations. While many viable constructions rely on non-canonical kinetic terms,...