03050nam a22004815i 4500 978-981-97-3984-4 DE-He213 20251030112623.0 cr nn 008mamaa 240711s2024 si | s |||| 0|eng d 9789819739844 978-981-97-3984-4 10.1007/978-981-97-3984-4 doi QA370-380 PBKJ bicssc MAT007000 bisacsh PBKJ thema Coclite, Giuseppe Maria. author. aut http://id.loc.gov/vocabulary/relators/aut 80372 Scalar Conservation Laws [electronic resource] / by Giuseppe Maria Coclite. 1st ed. 2024. Singapore : Springer Nature Singapore : Imprint: Springer, 2024. XIV, 148 p. 20 illus. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda SpringerBriefs in Mathematics, 2191-8201 Chapter 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. This 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. . Differential equations. Differential Equations. SpringerLink (Online service) Springer Nature eBook Printed edition: 9789819739837 Printed edition: 9789819739851 SpringerBriefs in Mathematics, 2191-8201 70788 https://doi.org/10.1007/978-981-97-3984-4 ZDB-2-SMA ZDB-2-SXMS 61510 61510