Some results for an \({\mathcal{N}}\)-dimensional nonlinear diffusion equation with radial symmetry
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Publication:987734
DOI10.1007/s10665-009-9351-6zbMath1193.76133OpenAlexW2117068611MaRDI QIDQ987734
T. M. Gimenez, Luciano R. da Silva, Marcelo K. Lenzi, Ervin Kaminski Lenzi
Publication date: 13 August 2010
Published in: Journal of Engineering Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10665-009-9351-6
similaritynonlinear diffusion equationanomalous diffusionTsallis formalismpower-law diffusion coefficient
PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) Flows in porous media; filtration; seepage (76S05)
Cites Work
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- Nonlinear reaction-diffusion systems with variable diffusivities: Lie symmetries, ansätze and exact solutions
- Exact solutions for a diffusion equation with a nonlinear external force
- The Fokker-Planck equation. Methods of solution and applications
- Nonlinear mean field Fokker-Planck equations. Application to the chemotaxis of biological populations
- A general nonlinear Fokker-Planck equation and its associated entropy
- Similarity methods for differential equations
- Fractional diffusion equation on fractals; Self-similar stationary solutions in a force field derived from a logarithmic potential
- Intermediate asymptotics for Richards' equation in a finite layer
- Generalized Fokker-Planck equations derived from generalized linear nonequilibrium thermodynamics
- Possible generalization of Boltzmann-Gibbs statistics.
- Anomalous diffusion coupled with Verhulst-like growth dynamics: exact time-dependent solutions
- Nonlinear diffusion equation, Tsallis formalism and exact solutions
- Nonlinear diffusion equation and nonlinear external force: Exact solution
- Limiting Profiles in Contaminant Transport Through Porous Media
- New non-Lie ansätze and exact solutions of nonlinear reaction-diffusion-convection equations
- On a general link between anomalous diffusion and nonextensivity
- Large Time Asymptotics in Contaminant Transport in Porous Media
- Regularity Propeties of Flows Through Porous Media
- Asymptotic Solution of a Model Non-linear Convective Diffusion Equation