LEADER 03129nam 22005775 450 001 9910874680003321 005 20260112112730.0 010 $a9789819739844 024 7 $a10.1007/978-981-97-3984-4 035 $a(CKB)32775394100041 035 $a(MiAaPQ)EBC31524493 035 $a(Au-PeEL)EBL31524493 035 $a(DE-He213)978-981-97-3984-4 035 $a(EXLCZ)9932775394100041 100 $a20240711d2024 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aScalar Conservation Laws /$fby Giuseppe Maria Coclite 205 $a1st ed. 2024. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2024. 215 $a1 online resource (153 pages) 225 1 $aSpringerBriefs in Mathematics,$x2191-8201 311 08$a9789819739837 320 $aIncludes bibliographical references and index. 327 $aChapter 1 Introduction -- Chapter 2 Entropy Solutions -- Chapter 3 Riemann Problem -- Chapter 4 Functions with Bounded Variation -- Chapter 5 Wave Front Tracking -- Chapter 6 Vanishing Viscosity -- Chapter 7 Compensated Compactness -- Chapter 8 Periodic solutions -- Chapter 9 Oleinik Estimate -- Chapter 10 Lax-Oleinik Formula. 330 $aThis book are notes prepared for the PhD courses that the author has been teaching during the last 10 years. The material available in the already existing literature (papers and essays) has been collected in this unique text, presenting the results with all the details for the reader?s convenience, fixing a unified notation, and providing a consistent framework for the subject. These notes cover many of the arguments that usually can be found in high level essays, where the proofs are simply sketched, and in papers, which are not easily available and not always self-contained. This book is intended for 1. PhD students in Mathematics, Physics and Mechanical Engineering in order to learn the basic features of nonlinear scalar equations, 2. researchers interested in nonlinear hyperbolic PDEs in order to learn the details behind some known and deep results on nonlinear scalar equations, 3. teachers of courses on nonlinear PDEs. The readers are expected to know the basic measure theory and Sobolev spaces. . 410 0$aSpringerBriefs in Mathematics,$x2191-8201 606 $aDifferential equations 606 $aDifferential Equations 606 $aĀlgebra lineal$2thub 606 $aLleis de conservaciķ (Matemātica)$2thub 606 $aDināmica de fluids$2thub 606 $aOnes de xoc$2thub 608 $aLlibres electrōnics$2thub 615 0$aDifferential equations. 615 14$aDifferential Equations. 615 7$aĀlgebra lineal 615 7$aLleis de conservaciķ (Matemātica) 615 7$aDināmica de fluids. 615 7$aOnes de xoc 676 $a515.63 700 $aCoclite$b Giuseppe Maria$01749280 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910874680003321 996 $aScalar Conservation Laws$94183289 997 $aUNINA