"Linear and nonlinear waves are a central part of the theory of PDEs. This book begins with a description of one-dimensional waves and their visualization through computer-aided techniques. Next, traveling waves are covered, such as solitary waves for the Klein-Gordon and KdV eq…
"Linear and nonlinear waves are a central part of the theory of PDEs. This book begins with a description of one-dimensional waves and their visualization through computer-aided techniques. Next, traveling waves are covered, such as solitary waves for the Klein-Gordon and KdV eq…
We study Wave Maps from ${\mathbf{R}} {2+1}$ to the hyperbolic plane ${\mathbf{H}} {2}$ with smooth compactly supported initial data which are close to smooth spherically symmetric initial data with respect to some $H {1+\mu}$, $\mu>0$. We show that such Wave Maps don't develop …
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…
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…
This book developed from a series of lectures I gave at the Symposium on Nonlinear Microlocal Analysis held at Nanjing University in October. 1988. Its purpose is to give an overview of the use of microlocal analysis and commutators in the study of solutions to nonlinear wave eq…
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 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 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
