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A finite volume scheme for convection-diffusion equations with nonlinear diffusion derived from the Scharfetter-Gummel scheme
convection-diffusion equations nonlinear diffusion derived Scharfetter-Gummel scheme
2010/11/15
We propose a finite volume scheme for convection-diffusion equations with nonlinear diffusion. Such equations arise in numerous physical contexts. We will particularly focus on the drift-diffusion sy...
Interaction between nonlinear diffusion and geometry of domain
nonlinear diffusion geometry of domain initial-boundary value problem
2010/12/15
Let be a domain in RN, where N ≥ 2 and @ is not necessarily bounded. We consider nonlinear diffusion equations of the form @tu = (u). Let u = u(x, t) be the solution of either the initial-boundary ...
Nonlinear diffusion model for Rayleigh-Taylor mixing
Nonlinear diffusion Rayleigh-Taylor mixing temperature profile numerical simulations
2010/4/1
The complex evolution of turbulent mixing in Rayleigh-Taylor convection is studied in terms of eddy diffusiviy models for the mean temperature profile. It is found that a non-linear model, derived wit...
Functional Separable Solutions to Nonlinear Diffusion Equations by Group Foliation Method
group foliation method functional separation of variable nonlinear diffusion
equation symmetry group
2007/8/15
2007Vol.47No.2pp.193-199DOI:
Functional Separable Solutions to Nonlinear Diffusion Equations by Group Foliation Method
HU Jia-Yi,1,2,3 QU Chang-Zheng,1,2 and YIN Hui4
1 ...
Conditional Symmetries and Solutions to a Class of Nonlinear
Diffusion-Convection Equations
symmetry nonlinear diffusion--convection
equation conditional symmetry exact solution
2007/8/15
2006Vol.46No.4pp.668-674DOI:
Conditional Symmetries and Solutions to a Class of Nonlinear
Diffusion-Convection Equations
JI Li-Na1,2,3 and QU Chang-Zheng1,2
1 Center for...
Potential Symmetries to a System of Three-Component
Nonlinear Diffusion Equations
Lie point symmetry potential symmetry nonlinear
diffusion equation group-invariant solutions
2007/8/15
2006Vol.45No.2pp.193-198DOI:
Potential Symmetries to a System of Three-Component
Nonlinear Diffusion Equations
XUE Chun-Rong1,2 and QU Chang-Zheng1,2
1 Center for Nonlin...
Conditional Symmetry Groups of Nonlinear Diffusion Equations
with x-Dependent Convection and Absorption
symmetry group sign-invariant nonlinear diffusion
equation exact solution
2007/8/15
2004Vol.41No.2pp.231-234DOI:
Conditional Symmetry Groups of Nonlinear Diffusion Equations
with x-Dependent Convection and Absorption
QU Chang-Zheng and ZHANG Shun-Li
Dep...
Symmetries and Similarity Reductions of Nonlinear Diffusion
Equation
inverse of recursion operator diffusion equation
similarity reduction
2007/8/15
2004Vol.42No.2pp.201-205DOI:
Symmetries and Similarity Reductions of Nonlinear Diffusion
Equation
LI Hui-Jun and RUAN Hang-Yu
Department of Physics, Ningbo University, N...