TY - BOOK ID - 136121583 TI - Nonlinear diffusion equations PY - 2001 SN - 1281951358 9786611951351 9812799796 9789812799791 9781281951359 9789810247188 9810247184 6611951350 PB - River Edge, N.J. World Scientific DB - UniCat KW - Burgers equation. KW - Heat equation. UR - https://www.unicat.be/uniCat?func=search&query=sysid:136121583 AB - Nonlinear diffusion equations, an important class of parabolic equations, come from a variety of diffusion phenomena which appear widely in nature. They are suggested as mathematical models of physical problems in many fields, such as filtration, phase transition, biochemistry and dynamics of biological groups. In many cases, the equations possess degeneracy or singularity. The appearance of degeneracy or singularity makes the study more involved and challenging. Many new ideas and methods have been developed to overcome the special difficulties caused by the degeneracy and singularity, which enrich the theory of partial differential equations. This book provides a comprehensive presentation of the basic problems, main results and typical methods for nonlinear diffusion equations with degeneracy. Some results for equations with singularity are touched upon. ER -