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Some Models of Mathematical Physics Reduced to Partial Differential Equations

In: Methods of Mathematical Physics

Author

Listed:
  • Alexey N. Karapetyants

    (Southern Federal University, Institute of Mathematics, Mechanics and Computer Sciences and Regional Mathematical Center)

  • Vladislav V. Kravchenko

    (Cinvestav-IPN, Campus Queretaro, Department of Mathematics)

Abstract

Here and in further sections of this chapter we present the most common examples of equations of the hyperbolic, parabolic, and elliptic type. The purpose of this chapter is to guide the reader into the process of formulating and describing real model problems in mathematical terms that lead to a partial differential equation.

Suggested Citation

  • Alexey N. Karapetyants & Vladislav V. Kravchenko, 2022. "Some Models of Mathematical Physics Reduced to Partial Differential Equations," Springer Books, in: Methods of Mathematical Physics, chapter 0, pages 19-43, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-17845-0_3
    DOI: 10.1007/978-3-031-17845-0_3
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