Global and blowup solutions for quasilinear parabolic equations and their numerical computations

拟线性抛物型方程的全局解和爆炸解及其数值计算

• 批准号: 251200-2008
• 负责人: Chen, Shaohua(George)
• 金额: $ 0.87万
• 依托单位: Cape Breton University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2011
• 资助国家: 加拿大
• 起止时间: 2011-01-01 至 2012-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=479667
• 关键词: Global; blowup; solutions; quasilinear; parabolic

Quasilinear degenerate parabolic equations have many applications in Physics, Chemistry, Biology and image processing. These equations involve a degenerate or singular diffusion term and some kinds of blowup properties which create many challenging problems in global, blowup and numerical solutions. The objectives of this research program involve using a new functional method and moving mesh methods to investigate the properties of global and blowup solutions both theoretically and numerically. The expected results will include the following:

拟线性退化抛物型方程在物理、化学、生物和图像处理等领域有着广泛的应用。这些方程涉及退化或奇异扩散项和某些爆破性质，这在整体解、爆破解和数值解中产生了许多具有挑战性的问题。这个研究项目的目标包括使用一种新的泛函方法和移动网格方法来从理论和数值上研究整体解和爆破解的性质。预期结果将包括以下内容：