We consider a L-contraction (a L-type stability) of large viscous shock waves for the multi-dimensional scalar viscous conservation laws, up to a suitable shift. The shift function, depending both on the time and space variables, solves a viscous HamiltonJacobi equation with source terms. We consider a suitably small L-perturbation around a viscous planar shock wave with arbitrarily large stren...

Viscous and viscoelastic models for a subduction zone with a faulted lithosphere and internal buoyancy can self-consistently and simultaneously predict long-wavelength geoid highs over slabs, short-wavelength gravity lows over trenches, trench-forebulge morphology, and explain the high apparent strength of oceanic lithosphere in trench environments. The models use two different free-surface for...

Funada & Joseph (2002) analyzed capillary instability assuming that the flow is irrotational but the fluids are viscous (viscous potential flow, VPF). They compared their results with the exact normal mode solution of the linearized Navier-Stokes equations (fully viscous flow, FVF) and with the irrotational flow of inviscid fluids (inviscid potential flow, IPF). They showed that the growth rate...

[1] In a series of numerical experiments, arrays of parallel-dipping normal faults formed only if the model contained a thin viscous layer sandwiched between the brittle, faulted layer on top and a lower boundary that resisted vertical displacement. With this particular vertical stratification, parallel-dipping faults developed even if the viscous layer had a shear-stress-free lower boundary co...

Capillary instability of a liquid cylinder immersed in another liquid is analyzed based on potential flow solutions. The growth rate of the instability is obtained by considering the normal stress balance at the interface. We derive a viscous correction of the irrotational pressure which presumably arises from a boundary layer needed to resolve the discontinuity of the tangential velocity and s...

Viscous heating plays an important role in the dynamics of fluids with strongly temperature-dependent viscosity because of the coupling between the energy and momentum equations. The heat generated by viscous friction produces a local temperature increase near the tube walls with a consequent decrease of the viscosity which may dramatically change the temperature and velocity profiles. These pr...

We analyze the effects induced by the bulk (or second) viscosity on the dynamics associated to the extreme gravitational collapse. Aim of the work is to investigate whether the presence of viscous corrections to the evolution of a collapsing gas cloud influence the top-down fragmentation process. To this end, we generalize the approach presented in the Hunter work [1] to include in the dynamics...