Self-similar solutions of cylindrical shock wave in a dusty gas
Sign Up to like & getrecommendations! Published in 2019 at "Indian Journal of Physics"
DOI: 10.1007/s12648-019-01499-3
Abstract: Self-similar solutions are determined for one-dimensional unsteady and cylindrically symmetric flow, driven by a moving piston in a dusty gas. Solid particles of the gas are continuously distributed. The medium has been taken uniform. It… read more here.
Keywords: gas; self similar; solutions cylindrical; cylindrical shock ... See more keywords
Self-similar solutions to the derivative nonlinear Schrödinger equation
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2019.11.089
Abstract: Abstract A class of self-similar solutions to the derivative nonlinear Schrodinger equations is studied. Especially, the asymptotics of profile functions are shown to posses a logarithmic phase correction. This logarithmic phase correction is obtained from… read more here.
Keywords: self similar; derivative nonlinear; nonlinear schr; similar solutions ... See more keywords
Navier–Stokes equations with external forces in Lorentz spaces and its application to the self-similar solutions
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.10.048
Abstract: Abstract We show existence theorem of global mild solutions with small initial data and external forces in Lorentz spaces with scaling invariant norms. If the initial data have more regularity in another scaling invariant class,… read more here.
Keywords: external forces; self similar; lorentz spaces; similar solutions ... See more keywords
Family of self-similar solutions with a free boundary in a fluid wedge
Sign Up to like & getrecommendations! Published in 2025 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2025.10715
Abstract: Abstract Plane unsteady potential flows of an ideal incompressible fluid with a free boundary are considered in the absence of external forces and surface tension. At the initial time, the flow occupy a wedge with… read more here.
Keywords: similar solutions; self similar; fluid; family self ... See more keywords
Self-similar solutions of asymmetric Rayleigh-Taylor mixing
Sign Up to like & getrecommendations! Published in 2020 at "Physics of Fluids"
DOI: 10.1063/1.5130893
Abstract: The late nonlinear phase of the Rayleigh-Taylor instability is characterized by the self-similar expansion of the instability mixing layer given at late times by h ≈ αAgt2. In this paper, we presen... read more here.
Keywords: self similar; similar solutions; asymmetric rayleigh; solutions asymmetric ... See more keywords
Self-Similar Solutions for Geometrically Thin Accretion Disks with Magnetically Driven Winds: Application to Tidal Disruption Events
Sign Up to like & getrecommendations! Published in 2025 at "Progress of Theoretical and Experimental Physics"
DOI: 10.1093/ptep/ptaf098
Abstract: We analytically derive self-similar solutions for a time-dependent, one-dimensional, magnetically driven accretion-disk-wind model based on the magnetohydrodynamic equations. The model assumes a geometrically thin, gas-pressure-dominated accretion disk and incorporates both magnetic braking and turbulent viscosity… read more here.
Keywords: similar solutions; magnetically driven; geometrically thin; self similar ... See more keywords
Stability Properties of Self-Similar Solutions in Symmetric Teleparallel f(Q)-Cosmology
Sign Up to like & getrecommendations! Published in 2023 at "Symmetry"
DOI: 10.3390/sym15020529
Abstract: Self-similar cosmological solutions correspond to spacetimes that admit a homothetic symmetry. The physical properties of self-similar solutions can describe important eras of the cosmological evolution. Recently, self-similar cosmological solutions were derived for symmetric teleparallel fQ-theory… read more here.
Keywords: self similar; similar solutions; cosmology; stability properties ... See more keywords
Existence of blow-up self-similar solutions for the supercritical quasilinear reaction-diffusion equation
Sign Up to like & getrecommendations! Published in 2024 at "Discrete and Continuous Dynamical Systems"
DOI: 10.3934/dcds.2024133
Abstract: We establish the existence of self-similar solutions presenting finite time blow-up to the quasilinear reaction-diffusion equation $$ u_t=\Delta u^m + u^p, $$ posed in dimension $N\geq3$, $m>1$. More precisely, we show that there is always… read more here.
Keywords: similar solutions; diffusion equation; existence; self similar ... See more keywords