TAILIEUCHUNG - Dissertation summary: Determination of nonlinear heat transfer laws and sources in heat conduction

Research objectives: Using boundary integral observations or observations on a part of the boundary instead of point-wise observations are new approaches to setting the inverse problem and have physical and practical meanings. | MINISTRY OF EDUCATION AND TRAINING THAI NGUYEN UNIVERSITY BUI VIET HUONG DETERMINATION OF NONLINEAR HEAT TRANSFER Laws and sOuRCeS iN heat conduction Speciality Mathematical Analysis Code 62 46 01 02 SUMMARY OF DOCTORAL DISSERTATION IN MATHEMATICS THAI NGUYEN-2015 This dissertation is completed at College of Education - Thai Nguyen University Thai Nguyen Viet Nam Scientihc supervisor Prof. Dr. habil. Dinh Nho Hào Reviewer 1 . Reviewer 2 . Reviewer 3 . The dissertation will be defended in front of the PhD dissertation university committee level at . am pm date. month . year 2015. The dissertation can be found at - National Library - Learning Resource Center of Thai Nguyen University - Library of the College of Education - Thai Nguyen University Introduction The process of heat transfer or diffusion are often modelled by boundary value problems for parabolic equations when the physical domain the coefficients of equations the initial condition and boundary conditions are known one studies the boundary value problems and then bases on them to predict about the processes under consideration. This is forward problem for the process under consideration. However in practice sometimes the physical domain or the coefficients of the equations or boundary conditions or the initial condition are not known and one has to define them from indirect measurements for reconstructing the process. This is inverse problem to the above direct problem and it has been an extensive research arrear in mathematical modelling and differential equations for more than 100 years. Two important conditions for modelling a heat transfer process are the law of heat transfer on the boundary of the object and heat sources generated heat conduction. These conditions are generated by external sources and are not always known in advance and in this case we have to determine them from indirect measurements and these are the topics of this thesis. The thesis consists of two parts the first one is devoted .

• Thạc sĩ - Tiến sĩ - Cao học
• Mathematical Analysis
• Nonlinear heat transfer laws
• Sources in heat conduction
• The initial boundary
• Numerical results
• Dissertation summary
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