High-Order Perturbation of Surfaces (HOPS) Short Course--boundary value problems / David P. Nicholls -- HOPS Short Course--traveling water waves / Benjamin F. Akers -- High-Order Perturbation of Surfaces (HOPS) Short Course--analyticity theory / David P. Nicholls -- HOPS Short C…
"Waves are an important topic in the fields of mechanics, electromagnetism, and quantum theory, but many students struggle with the mathematical aspects. Written to complement course textbooks, this book focuses on the topics that students find most difficult. Retaining the high…
"Waves are an important topic in the fields of mechanics, electromagnetism, and quantum theory, but many students struggle with the mathematical aspects. Written to complement course textbooks, this book focuses on the topics that students find most difficult. Retaining the high…
We are interested in the time-asymptotic behavior of solutions to viscous conservation laws. Through the pointwise estimates for the Green's function of the linearized system and the analysis of coupling of nonlinear diffusion waves, we obtain explicit expressions of the time-as…
The Schrödinger equation is the master equation of quantum chemistry. The founders of quantum mechanics realised how this equation underpins essentially the whole of chemistry. However, they recognised that its exact application was much too complicated to be solvable at the tim…
by Ponce, Gustavo, Linares, Felipe
fromUniversitext
by Sanz-Solé, Marta, Dalang, Robert, Mathematician, Switzerland, United States, Dalang, Robert, Mathématicien, Suisse, Etats-Unis, Dalang, Robert, Mathematiker, Schweiz, USA
fromMemoirs of the American Mathematical Society
"This book provides a self-contained presentation of classical and new methods for studying wave phenomena that are related to the existence and stability of solitary and periodic travelling wave solutions for nonlinear dispersive evolution equations. Simplicity, concrete exampl…
"This book provides a self-contained presentation of classical and new methods for studying wave phenomena that are related to the existence and stability of solitary and periodic travelling wave solutions for nonlinear dispersive evolution equations. Simplicity, concrete exampl…
Takes the student with a background in the undergraduate courses in physics and mathematics towards the skills needed for graduate work in theoretical physics. The author uses Green's functions to explore the physics of potentials, diffusion and waves. Case histories illustrate …
The familiar wave equation is the most fundamental hyperbolic partial differential equation. Other hyperbolic equations, both linear and nonlinear, exhibit many wave-like phenomena. The primary theme of this book is the mathematical investigation of such wave phenomena. The expo…
