Tag: PDEs

Free Download Systems Theory and PDEs: Open Problems, Recent Results, and New Directions by Felix L. Schwenninger, Marcus Waurick
English | PDF EPUB (True) | 2024 | 262 Pages | ISBN : 3031649907 | 29.8 MB
This volume presents recent advances and open problems in the cross section of infinite-dimensional systems theory and the modern treatment of PDEs. Chapters are based on talks and problem sessions from the first "Workshop on Systems Theory and PDEs" (WOSTAP), held at TU Bergakademie Freiberg in July 2022. The main topics covered include:

Free Download p(x)-bi-Laplacian: Application on Time-PDEs in Viscoelasticity
English | 2024 | ISBN: 9811291551 | 439 Pages | PDF (True) | 7 MB
The main subject of our book is to use the (p, p(x) and p(x))-bi-Laplacian operator in some partial differential systems, where we developed and obtained many results in quantitative and qualitative point of view.

Free Download Regularity Techniques for Elliptic PDEs and the Fractional Laplacian
by Pablo Raúl Stinga
English | 2024 | ISBN: 1032679441 | 334 pages | True PDF | 9.41 MB

Free Download A Compact Course on Linear PDEs
English | 2023 | ISBN: 3031359755 | 262 Pages | PDF EPUB (True) | 24 MB
This textbook is devoted to second order linear partial differential equations. The focus is on variational formulations in Hilbert spaces. It contains elliptic equations, including the biharmonic problem, some useful notes on functional analysis, a brief presentation of Sobolev spaces and their properties, some basic results on Fredholm alternative and spectral theory, saddle point problems, parabolic and linear Navier-Stokes equations, and hyperbolic and Maxwell equations. Almost 80 exercises are added, and the complete solution of all of them is included. The work is mainly addressed to students in Mathematics, but also students in Engineering with a good mathematical background should be able to follow the theory presented here. This second edition has been enriched by some new sections and new exercises; in particular, three important equations are now included: the biharmonic equation, the linear Navier-Stokes equations and the Maxwell equations.