Djurdjevac, A. (2017) Advectiondiffusion equations with random coefficients on evolving hypersurfaces. Interfaces and Free Boundaries, 19 (4). pp. 525552. ISSN 14639963

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Official URL: https://dx.doi.org/10.4171/IFB/391
Abstract
We present the analysis of advectiondiffusion equations with random coefficients on moving hypersurfaces. We define weak and strong material derivative, that take into account also the spacial movement. Then we define the solution space for these kind of equations, which is the Bochnertype space of random functions defined on moving domain. Under suitable regularity assumptions we prove the existence and uniqueness of solutions of the concerned equation, and also we give some regularity results about the solution.
Item Type:  Article 

Additional Information:  12/2015 SFB 1114 Preprint 
Uncontrolled Keywords:  Advectiondiffusion, evolving surfaces, uncertainty quantification, random coefficients, existence 
Subjects:  Mathematical and Computer Sciences > Mathematics > Applied Mathematics 
Divisions:  Department of Mathematics and Computer Science > Institute of Mathematics 
ID Code:  1763 
Deposited By:  Ulrike Eickers 
Deposited On:  04 Jan 2016 15:36 
Last Modified:  13 Dec 2019 10:03 
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