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Posté le: Jeu 6 Juil  11:59 (2017) Sujet du message: Partial Differential Equations Mathematical Techniques Fo 


This monograph presents a graduatelevel treatment of partial differential equations (PDEs) for engineers. The book begins with a review of the geometrical interpretation of systems of ODEs, the appearance of PDEs in engineering is motivated by the general form of balance laws in continuum physics. Four chapters are devoted to a detailed treatment of the single firstorder PDE, including shock waves and genuinely nonlinear models, with applications to traffic design and gas dynamics. The rest of the book deals with secondorder equations. In the treatment of hyperbolic equations, geometric arguments are used whenever possible and the analogy with discrete vibrating systems is emphasized. The diffusion and potential equations afford the opportunity of dealing with questions of uniqueness and continuous dependence on the data, the Fourier integral, generalized functions (distributions), Duhamel's principle, Green's functions and Dirichlet and Neumann problems. The target audience primarily comprises graduate students in engineering, but the book may also be beneficial for lecturers, and research experts both in academia in industry.
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