logo-polimi
Loading...
Degree programme
Programme Structure
Show/Search Programme
Course Details
Save Document
Degree Programme
Degree Programme not available
Faculty
Infrastructures
Quantitative data
International context
Customized Schedule
Your customized time schedule has been disabled
Enable
Search
Search a Professor
Search a Course
Search a Course (system prior D.M. n. 509)
Search Lessons taught in English

Glossary
Semester (Sem)
1First Semester
2Second Semester
AAnnual course
Educational activities
BIdentifying activities
Language
Course completely offered in italian
Course completely offered in english
--Not available
Innovative teaching
The credits shown next to this symbol indicate the part of the course CFUs provided with Innovative teaching.
These CFUs include:
  • Subject taught jointly with companies or organizations
  • Blended Learning & Flipped Classroom
  • Massive Open Online Courses (MOOC)
  • Soft Skills
Course Details
Context
Academic Year 2014/2015
School School of Industrial and Information Engineering
Name (Master of Science degree)(ord. 270) - MI (403) Mathematical Engineering
Track MSC - Scienze computazionali per l'ingegneria
Programme Year 2

Course Details
ID Code 095963
Course Title ADVANCED PARTIAL DIFFERENTIAL EQUATIONS
Course Type Mono-Disciplinary Course
Credits (CFU / ECTS) 8.0
Semester Second Semester
Course Description Fredholm alternative, spectrum of a compact operator in Hilbert spaces. Application to abstract variational problems. Weak formulation of evolution problems. Method of Faedo-Galerkin. Fixed point theorems of Shauder and Leray-Shauder. Stationary Navier Stokes equations. Conservation laws. Generalized solutions. Rankine-Hugoniot conditions. Rarefaction waves and shocks. Entropy conditions. Riemann invariants. Riemann problem. Local existence. Application to the shallow waters system, gas dynamics and p-system. Optimal control problems. Existence and uniqueness for quadratic functionals. Lagrange multipliers and optimality conditions.
Scientific-Disciplinary Sector (SSD)
Educational activities SSD Code SSD Description CFU
B
MAT/05
MATHEMATICAL ANALYSIS
8.0

Schedule, add and removeAlphabetical groupProfessorLanguageCourse details
From (included)To (excluded)
--AZZZZSalsa Sandro
manifesti v. 3.1.2 / 3.1.2
Area Servizi ICT
16/10/2019