Nonlinear equations: Methods, models and applications by Daniela Lupo, Carlo Pagani, Bernhard Ruf

By Daniela Lupo, Carlo Pagani, Bernhard Ruf

This quantity includes learn articles originating from the Workshop on Nonlinear research and purposes held in Bergamo in July 2001. Classical subject matters of nonlinear research have been thought of, reminiscent of calculus of adaptations, variational inequalities, severe aspect conception and their use in a variety of elements of the research of elliptic differential equations and structures, equations of Hamilton-Jacobi, Schrödinger and Navier-Stokes, and unfastened boundary difficulties. furthermore, quite a few types have been concentrated upon: traveling waves in supported beams and plates, vortex condensation in electroweak idea, details conception, non-geometrical optics, and Dirac-Fock versions for heavy atoms.

Show description

Read Online or Download Nonlinear equations: Methods, models and applications PDF

Best mathematics books

The Irrationals: A Story of the Numbers You Can't Count On

The traditional Greeks came across them, however it wasn't until eventually the 19th century that irrational numbers have been safely understood and conscientiously outlined, or even this day no longer all their mysteries were printed. within the Irrationals, the 1st well known and entire e-book at the topic, Julian Havil tells the tale of irrational numbers and the mathematicians who've tackled their demanding situations, from antiquity to the twenty-first century.

In mathematical circles. Quadrants I, II (MAA 2003)

For a few years, famed arithmetic historian and grasp instructor Howard Eves accumulated tales and anecdotes approximately arithmetic and mathematicians, amassing them jointly in six Mathematical Circles books. hundreds of thousands of lecturers of arithmetic have learn those tales and anecdotes for his or her personal entertainment and used them within the lecture room - so as to add leisure, to introduce a human point, to motivate the scholar, and to forge a few hyperlinks of cultural heritage.

Mathematics of Digital Images: Creation, Compression, Restoration, Recognition

This significant revision of the author's well known booklet nonetheless specializes in foundations and proofs, yet now shows a shift clear of Topology to likelihood and data concept (with Shannon's resource and channel encoding theorems) that are used all through. 3 important parts for the electronic revolution are tackled (compression, recovery and recognition), developing not just what's actual, yet why, to facilitate schooling and learn.

Mathe ist doof !? Weshalb ganz vernünftige Menschen manchmal an Mathematik verzweifeln

Viele Menschen haben den Seufzer "Mathe ist doof! " schon ausgestoßen. Sind denn alle diese Leute dumm oder "mathematisch unbegabt"? Wie kaum ein anderes Fach spaltet Mathematik die Geister: Mathematik ist schön, ästhetisch, wunderbar logisch und überaus nützlich - sagen die einen. Die anderen empfinden Mathematik als eine dröge Quälerei mit abstrakten Symbolen und undurchsichtigen Formeln, die guy irgendwie in der Schule durchstehen muss - und dann vergessen kann.

Additional info for Nonlinear equations: Methods, models and applications

Sample text

It is focused on all the conservative and some nonconservative dynamical systems with an immense, but finite, number of degrees of freedom and especially their characteristic Lagrangians. These basis functions are fundamental to all mathematical solution procedures that are usually classified as variational principles. Most of the nonconservative dynamical (or irreversible) systems are physical manifestations that can be adequately described by nonlinear partial differential equations, together with appropriate initial and boundary conditions.

During this period, leading mathematicians dominated that scientific branch. Quality standards were established to treat physical problems adequately and offer appropriate mathematical tools for their solutions. Thus, it is not accidental that physics is accessible with mathematical description and interpretation; it is the result of the careful selection of the topics and the phenomena to be observed. Thus, theories of classical mechanics were developed, applied, generalized, and recast by nearly every distinguished scientist with well-founded knowledge in mathematics.

4. Traditionally, the conviction prevails that geometrical and physical quantities are basically different (Falk, 1990, p. 111). A deeply rooted custom originated 18 1. Physics Today: Perspectives in the supposition that a physical object is always embedded in space and time. This bias was supported by the idea that all "true" physical quantities— that is, the nongeometric quantities—are properties only of matter. As a consequence, each physical system is incorporated in space and characterized by a definite interior separated from other systems or parts of the otherwise "empty" space.

Download PDF sample

Rated 4.19 of 5 – based on 22 votes