Viscous Shock Solutions to the Stochastic Burgers Equation
Sign Up to like & getrecommendations! Published in 2021 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-021-01696-7
Abstract: We define a notion of a viscous shock solution of the stochastic Burgers equation that connects "top" and "bottom" spatially stationary solutions of the same equation. Such shocks generally travel in space, but we show… read more here.
Keywords: shock solutions; solutions stochastic; burgers equation; stochastic burgers ... See more keywords
Singular shock solutions in nonlinear chromatography
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinear Analysis: Real World Applications"
DOI: 10.1016/j.nonrwa.2017.10.010
Abstract: Abstract We consider a hyperbolic system of partial differential equations which is of interest in the context of nonlinear chromatography. Under certain initial and feed conditions, specified in the first part of this contribution, solutions… read more here.
Keywords: chromatography; solutions nonlinear; shock solutions; singular shock ... See more keywords
Strong shock solutions in symmetric wedge flows: Unphysical or unstable?
Sign Up to like & getrecommendations! Published in 2023 at "Physics of Fluids"
DOI: 10.1063/5.0149843
Abstract: This paper investigates the strong shock solutions in a supersonic wedge experimentally, analytically, and numerically. Experiments and computations are conducted on scaled-down models for the two types of shock reflection to be possible. The time-resolved… read more here.
Keywords: strong shock; wedge; wedge flows; shock solutions ... See more keywords
Uniqueness of steady 1-D shock solutions in a finite nozzle via vanishing viscosity aguments
Sign Up to like & getrecommendations! Published in 2021 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2021066
Abstract: This paper studies the uniqueness of steady 1-D shock solutions in a finite flat nozzle via vanishing viscosity arguments. It is proved that, for both barotropic gases and non-isentropic gases, the steady viscous shock solutions… read more here.
Keywords: shock solutions; viscosity; solutions finite; uniqueness steady ... See more keywords