03158nam a22004575i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024003500137082001600172100002600188245018000214264004200394300004400436336002600480337002600506338003600532347002400568490007800592505043900670520102201109650001702131650003502148650002502183650003702208650001702245650003602262650002502298650001402323650003502337700003002372700002902402710003402431773002002465776003602485830007802521856010102599978-0-8176-4651-6DE-He21320260521092029.0cr nn 008mamaa100601s2010    xxu|    s    |||| 0|eng d  a9780817646516  a997808176465167 a10.1007/978-0-8176-4651-62doi04a515.3532231 aGiga, Mi-Ho.eauthor.10aNonlinear Partial Differential Equationsh[electronic resource] :bAsymptotic Behavior of Solutions and Self-Similar Solutions /cby Mi-Ho Giga, Yoshikazu Giga, Jürgen Saal. 1aBoston :bBirkhäuser Boston,c2010.  aXVIII, 294p. 7 illus.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aProgress in Nonlinear Differential Equations and Their Applications ;v790 aAsymptotic Behavior of Solutions of Partial Differential Equations -- Behavior Near Time Infinity of Solutions of the Heat Equation -- Behavior Near Time Infinity of Solutions of the Vorticity Equations -- Self-Similar Solutions for Various Equations -- Useful Analytic Tools -- Various Properties of Solutions of the Heat Equation -- Compactness Theorems -- Calculus Inequalities -- Convergence Theorems in the Theory of Integration.  aThe main focus of this textbook, in two parts, is on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. The exposition moves systematically from the basic to more sophisticated concepts with recent developments and several open problems. With challenging exercises, examples, and illustrations to help explain the rigorous analytic basis for the Navier--Stokes equations, mean curvature flow equations, and other important equations describing real phenomena, this book is written for graduate students and researchers, not only in mathematics but also in other disciplines. Nonlinear Partial Differential Equations will serve as an excellent textbook for a first course in modern analysis or as a useful self-study guide. Key topics in nonlinear partial differential equations as well as several fundamental tools and methods are presented. The only prerequisite required is a basic course in calculus. 0aMATHEMATICS. 0aGLOBAL ANALYSIS (MATHEMATICS). 0aFUNCTIONAL ANALYSIS. 0aDIFFERENTIAL EQUATIONS, PARTIAL.14aMATHEMATICS.24aPARTIAL DIFFERENTIAL EQUATIONS.24aFUNCTIONAL ANALYSIS.24aANALYSIS.24aAPPROXIMATIONS AND EXPANSIONS.1 aGiga, Yoshikazu.eauthor.1 aSaal, Jürgen.eauthor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780817641733 0aProgress in Nonlinear Differential Equations and Their Applications ;v7940uhttp://dx.doi.org/10.1007/978-0-8176-4651-6zVer el texto completo en las instalaciones del CICY