Leanpub Book LAUNCH 🚀 Solutions of the Cahn Hilliard Equations by Rahul Basu
Solutions of the Cahn–Hilliard Equations The Cahn–Hilliard equations play a central role in the mathematical modeling of phase separation, interfacial phenomena, and diffuse-interface problems arising in materials science, fluid mechanics, and related fields. Their nonlinear, higher-ord...
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About the Book
Solutions of the Cahn–Hilliard Equations
The Cahn–Hilliard equations play a central role in the mathematical modeling of phase separation, interfacial phenomena, and diffuse-interface problems arising in materials science, fluid mechanics, and related fields. Their nonlinear, higher-order structure makes both analytical and numerical solutions challenging.
Solutions of the Cahn–Hilliard Equations presents a focused treatment of methods for obtaining analytical, numerical, and approximate solutions of these important equations. The book develops the mathematical formulation of the problem and examines practical approaches for handling nonlinearities, boundary conditions, and the complex behavior associated with phase evolution.
Written for researchers, postgraduate students, engineers, and applied mathematicians, the book provides a useful bridge between the underlying mathematical theory and methods suitable for practical computation and analysis. It is intended both as a reference for those working with Cahn–Hilliard models and as a supplementary text for advanced study in applied mathematics and computational science.
Key topics include:
- Formulation and properties of the Cahn–Hilliard equations
- Analytical approaches to nonlinear phase-field problems
- Approximate and perturbation-based solution methods
- Numerical treatment of Cahn–Hilliard equations
- Boundary-value problems and phase evolution
- Applications of the equations in scientific and engineering problems
This book will be particularly useful to readers seeking a practical understanding of how Cahn–Hilliard equations can be analyzed and solved across a range of mathematical and engineering applications.
Rahul Basu
About the Author
Rahul Basu is an academic, researcher, and author with extensive experience in engineering education and applied research. He has taught and conducted research at several universities and research institutions in India, including the Indian Institute of Science, where he served as a CSIR Research Officer, as well as PSG College of Technology, Visvesvaraya Technological University (VTU), Madanapalle Institute of Technology and Science, and Jawaharlal Nehru Technological University (JNTU).
His academic career has included work under DRDO-sponsored research programmes and the TEQIP programme, reflecting his longstanding involvement in advanced engineering education and research. He was also awarded a UGC Emeritus Professorship by the University Grants Commission, Government of India.
His interests span applied mathematics, mathematical modeling, engineering analysis, and computational methods. He has authored and contributed to works intended to make advanced technical subjects accessible to students, researchers, and practicing engineers.
Through his books, Rahul Basu seeks to connect mathematical theory with practical engineering applications and provide readers with clear, systematic approaches to solving complex technical problems.
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