The book deals with modern methods of nonlinear stability theory applied to problems of continuous media mechanics in the presence of interfaces, with applications to materials science, chemical engineering, heat transfer technologies, as well as in combustion and other reaction-diffusion systems. Interfaces play a dominant role at small scales, and their correct modeling is therefore also crucial in the rapidly expanding fields of microfluidics and nanotechnologies. To this aim, the book combines contributions of eminent specialists in the field, with a special emphasis on rigorous and...
The book deals with modern methods of nonlinear stability theory applied to problems of continuous media mechanics in the presence of interfaces, w...
Victor Henner Tatyana Belozerova Alexander Nepomnyashchy
This is a modern textbook on partial differential equations covering all the basic topics of a first course in PDEs. A balanced presentation introduces and practices all necessary problem-solving skills, yet is concise and friendly to the reader. The teaching-by-examples approach guides step-by-step learning of concepts and techniques.
This is a modern textbook on partial differential equations covering all the basic topics of a first course in PDEs. A balanced presentation introduce...
Victor Henner Alexander Nepomnyashchy Tatyana Belozerova
The textbook presents a rather unique combination of topics in ODEs, examples and presentation style. The primary intended audience is undergraduate (2nd, 3rd, or 4thyear) students in engineering and science (physics, biology, economics). The needed pre-requisite is a mastery of single-variable calculus. A wealth of included topics allows using the textbook in up to three sequential, one-semester ODE courses. Presentation emphasizes the development of practical solution skills by including a very large number of in-text examples and end-of-section exercises. All in-text examples, be they of a...
The textbook presents a rather unique combination of topics in ODEs, examples and presentation style. The primary intended audience is undergraduate (...