Xin Si, Huashui Zhan, "The Weak Solutions to Doubly Nonlinear Diffusion Equation with Convection Term," WSEAS Transactions on Mathematics, vol. 13, pp. 416-427, 2014, DOI:
Xin Si, Huashui Zhan. The Weak Solutions to Doubly Nonlinear Diffusion Equation with Convection Term.
WSEAS Transactions on Mathematics. 2014;13:416-427.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
The Weak Solutions to Doubly Nonlinear Diffusion Equation with Convection Term
Authors: ,
Abstract: Consider the following convection diffusion equation <br> $$ut = div(| ∇u^{m} | ^{p−2} ∇u^{m}) + \sum_{i=1}^{N} \frac{\partial b_{i}(u^{m}, x, t)}{\partial x_{i}}$$, Supposed that $$0 < m < 1, p > 1 + \frac{1}{m}$$, using Moser iteration technique, we get the local bounded properties of the solution of the regularized problem. By the compactness theorem, the existence of the weak solution of the convection diffusion equation itself is obtained.
Pages: 416-427 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 13, 2014, Art. #39 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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