{"product_id":"gromov-hausdorff-stability-of-dynamical-systems-and-applications-to-pdes-paperback","title":"Gromov-Hausdorff Stability of Dynamical Systems and Applications to Pdes - Paperback","description":"\u003cp\u003eby \u003cb\u003eJihoon Lee\u003c\/b\u003e (Author), \u003cb\u003eCarlos Morales\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003ePart I: Abstract Theory.- Gromov-Hausdorff distances.- Stability.- Continuity of Shift Operator.- Shadowing from Gromov-Hausdorff Viewpoint.- Part II: Applications to PDEs.- GH-Stability of Reaction Diffusion Equation.- Stability of Inertial Manifolds.- Stability of Chafee-Infante Equations.\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003eThis monograph presents new insights into the perturbation theory of dynamical systems based on the Gromov-Hausdorff distance. In the first part, the authors introduce the notion of Gromov-Hausdorff distance between compact metric spaces, along with the corresponding distance for continuous maps, flows, and group actions on these spaces. They also focus on the stability of certain dynamical objects like shifts, global attractors, and inertial manifolds. Applications to dissipative PDEs, such as the reaction-diffusion and Chafee-Infante equations, are explored in the second part. This text will be of interest to graduates students and researchers working in the areas of topological dynamics and PDEs.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003cb\u003e​\u003c\/b\u003e\u003cb\u003eProfessor Lee\u003c\/b\u003e got his PhD at Yonsei University in Seoul after receiving his bachelor's degree from the University of Washington in Seattle. He iscurrently an Assistant Professor of Mathematics at Chonnam National University in Gwangju, Republic of Korea. His research interests include PDE and Dynamical Systems.\u003cbr\u003e\u003cb\u003eProfessor Morales Rojas\u003c\/b\u003e got his PhD at IMPA, Rio de Janeiro, Brazil. He is currently Associated Professor at the Federal University of Rio de Janeiro, Brazil. His research interests include Dynamical Systems and its applications. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 166\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.38 x 9.61 x 6.69 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e October 31, 2022\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":42719279120447,"sku":"9783031120305","price":116.62,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0105\/8226\/1823\/files\/0c79813950041ce62de4097371327e80.webp?v=1765085053","url":"https:\/\/dhlswag.com\/products\/gromov-hausdorff-stability-of-dynamical-systems-and-applications-to-pdes-paperback","provider":"BBB","version":"1.0","type":"link"}