where: x is position in one or more spatial dimensions; u(x, t) is some scalar or vector field, such as fluid velocity and pressure; L is a dissipative linear operator, such as ∇; f(u) includes other autonomous terms representing nonlinear advection, reaction, etc.; and q(u, t) is some time dependent control or possibly stochastic forcing [22]. Among many physically relevant examples are Burger...

We present theoretical results on spontaneous stratiication of sedimenting suspensions and colloids caused by a lateral temperature gradient. Fluid motion is treated in the Stokes approximation, and motion of suspended particles is described by Burgers equation with convection. The internal structure and interaction of shocks at convection roll boundaries is studied numerically using a reduced ...

We review some recent results for a class of fluid mechanics equations called active scalars, with fractional dissipation. Our main examples are the surface quasigeostrophic equation, the Burgers equation, and the Cordoba-Cordoba-Fontelos model. We discuss nonlocal maximum principle methods which allow to prove existence of global regular solutions for the critical dissipation. We also recall w...

Daniela Narezo Guzman1,2,†, Tomasz Frączek2, Christopher Reetz2, Chao Sun1,3, Detlef Lohse1,4 and Guenter Ahlers2 1Physics of Fluids Group, Department of Science and Technology, J.M. Burgers Center for Fluid Dynamics, and Impact-Institute, University of Twente, 7500 AE Enschede, The Netherlands 2Department of Physics, University of California, Santa Barbara, CA 93106, USA 3Center for Combustion...

in this study, quality characteristics of incorporated burgers containing 25, 50, 75 and 100 common carp (cyprinus carpio) surimi was evaluated. accordingly, proximate composition, texture profile analysis (tpa), color, water holding capacity (whc) and sensory attributes of resulted burgers were determined. based on data, burgers containing surimi showed lower amount of protein, fat and ash com...

In this paper, a new heuristic scheme for the approximate solution of the generalized Burgers'-Fisher equation is proposed. The scheme is based on the hybridization of Exp-function method with nature inspired algorithm. The given nonlinear partial differential equation (NPDE) through substitution is converted into a nonlinear ordinary differential equation (NODE). The travelling wave solution i...

Abstract For the evolution of a compressible fluid in spherical symmetry on Schwarzschild curved background, we design class well-balanced numerical algorithms up to third-order accuracy. We treat both relativistic Burgers–Schwarzschild model and Euler–Schwarzschild take advantage explicit or implicit forms available for stationary solutions these models. Our schemes follow finite volume method...