Research Catalog

Title

Handbook of nonlinear partial differential equations / Andrei D. Polyanin, Valentin F. Zaitsev.

Author

Poli︠a︡nin, A. D. (Andreĭ Dmitrievich)

Publication

Boca Raton, Fla. : Chapman & Hall/CRC, ©2004.

Items in the Library & Off-site

Details

Additional Authors

Zaĭt︠s︡ev, V. F.

Description

xx, 814 pages; 26 cm

Summary

This volume contains approximately 1,600 nonlinear mathematical physics equations and nonlinear partial differential equations and their solutions. Many types of equations are discussed, including parabolic, hyperbolic, elliptic, and mixed. Exact solutions are provided for equations describing heat and mass transfer, wave theory, nonlinear mathematics, hydrodynamics, gas dynamics, plasticity theory, nonlinear acoustics, combustion theory, optics, theoretical physics, differential geometry, control theory, chemical engineering, and biology. Particular attention is given to general-form equations dependent on arbitrary functions. Polyanin is affiliated with the Institute for Problems in Mechanics at the Russian Academy of Sciences; Zaitsev, with the Russian State Pedagogical University in St. Petersburg. Annotation : 2004 Book News, Inc., Portland, OR (booknews.com).

Alternative Title

Nonlinear partial differential equations

Subject

• Differential equations, Nonlinear > Numerical solutions
• Nonlinear mechanics > Mathematics
• Differential equations, Nonlinear > Numerical solutions
• Nichtlineare Mechanik
• Nichtlineare partielle Differentialgleichung
• Numerische Mathematik
• Equacions diferencials no lineals

Bibliography (note)

• Includes bibliographical references (p. 791-808) and index.

Contents

Parabolic equations with one space variable -- Parabolic equations with two or more space variables -- Hyperbolic equations with one space variable -- Hyperbolic equations with two or three space variables -- Elliptic equations with two space variables -- Elliptic equations with three or more space variables -- Equations involving mixed derivatives and some other equations -- Second-order equations of general form -- Third-order equations -- Fourth-order equations -- Equations of higher orders.

ISBN

• 1584883553
• 9781584883555
• 9780203489659
• 0203489659

LCCN

2003058473

OCLC

• ocm52766184
• 52766184
• SCSB-1327198

Owning Institutions

Princeton University Library