The idea for this book was developed in the seminar on problems of con- tinuum mechanics, which has been active for more than twelve years at the Faculty of Mathematics and Physics, Charles University, Prague. This seminar has been pursuing recent directions in the development of mathe- matical applications in physics; especially in continuum mechanics, and in technology. It has regularly been attended by upper division and graduate students, faculty, and scientists and researchers from various institutions from Prague and elsewhere. These seminar participants decided to publish in a...
The idea for this book was developed in the seminar on problems of con- tinuum mechanics, which has been active for more than twelve years at the Facu...
This monograph provides a concise treatment of the theory of nonlinear evolutionary partial differential equations. For scalar hyperbolic conservation laws, the well posedness of the initial problem in the whole space as well as the initial boundary value problem in bounded domains is treated. Further, one of the first rigorous mathematical treatments of a class of non-Newtonian fluids is given. The new results, obtained here for both problems, have applications to many rapidly developing areas of physics, biology and mechanical engineering. Weak and Measure-valued Solutions to Evolutionary...
This monograph provides a concise treatment of the theory of nonlinear evolutionary partial differential equations. For scalar hyperbolic conservation...
The proceedings of a satellite conference of the 1998 International Mathematical Congress. In it, leading specialists on partial differential equations, calculus of variations, and numerical analysis present results, applications, and advances in numerical methods in these fields. Conference organizers chose the contributors to bring together the scientists best able to present a complex view of problems, starting from the modelling, passing through the mathematical treatment, and ending with numerical realization. The applications discussed include fluid dynamics, semiconductor technology,...
The proceedings of a satellite conference of the 1998 International Mathematical Congress. In it, leading specialists on partial differential equation...
Ne as' book "Direct Methods in the Theory of Elliptic Equations," published 1967 in French, has become a standard reference for the mathematical theory of linear elliptic equations and systems. This English edition, translated by G. Tronel and A. Kufner, presents Ne as' work essentially in the form it was published in 1967. It gives a timeless and in some sense definitive treatment of a number issues in variational methods for elliptic systems and higher order equations. The text is recommended to graduate students of partial differential equations, postdoctoral associates in Analysis, and...
Ne as' book "Direct Methods in the Theory of Elliptic Equations," published 1967 in French, has become a standard reference for the mathematical th...
