INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS

Corso

A Padova

6001-7000 €

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Descrizione

  • Tipologia

    Corso

  • Luogo

    Padova

The students will be provided with take home written exams of increasing level of difficulty. By taking these exams each student pledges that he/she will work on the test without communicating with any of his/her classmates or
anybody else. Each student is only allowed to discuss the exam with Prof. Garofalo.
Infringement of these rules will be considered academic cheating
and adversely affect the final grade in this course.

Sedi e date

Luogo

Inizio del corso

Padova
Visualizza mappa
Riviera Tito Livio, 6, 35122

Inizio del corso

Consultare

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Opinioni

Programma

Partial differential equations (PDEs) are expressions involving an unknown function of two or more variables and a certain number of its partial derivatives. Such equations govern the phenomena of the physical world, and they play a preeminent role both in pure mathematics and in the applied sciences:
1. The small vibrations of the string of a violin are described by the wave equation, a PDE that is ubiquitous in the description of undulatory phenomena.
2. The potential of the gravitational field generated by a certain distribution of mass satisfies (away from the mass itself) a PDE that is known as Laplace equation.
3. The distribution of temperature in a conducting body is described (at least near the source) by yet another PDE known as the heat equation. These are instances of PDEs of linear type.

The principal aim of this course is to bring the audience to mastering some of the basic aspects of PDEs, beginning with the linear models described above. The second part of the course will be devoted to providing the audience with a glimpse into some of the fascinating aspects of nonlinear PDEs.

Chiama il centro

Hai bisogno di un coach per la formazione?

Ti aiuterà a confrontare vari corsi e trovare l'offerta formativa più conveniente.

INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS

6001-7000 €