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pro vyhledávání: '"Jan Prüss"'
Autor:
Jan Prüss
Publikováno v:
Semigroup Theory and Evolution Equations ISBN: 9781003419914
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::939a572dbfa158040a131dc42e6b7a6e
https://doi.org/10.1201/9781003419914-29
https://doi.org/10.1201/9781003419914-29
Publikováno v:
Journal of Evolution Equations. 21:3153-3179
We consider the motion of an incompressible viscous fluid that completely covers a smooth, compact and embedded hypersurface $$\Sigma $$ Σ without boundary and flows along $$\Sigma $$ Σ . Local-in-time well-posedness is established in the framework
Autor:
Matthias Hieber, Jan Prüss
Publikováno v:
Archive for Rational Mechanics and Analysis. 233:1441-1468
In this article, the non-isothermal compressible Ericksen–Leslie system for nematic liquid crystals subject to general Leslie stress is considered. It is shown that this system is locally well-posed within the $$L_q$$ -setting and that for initial
Autor:
Jan Prüss
Publikováno v:
Studia Mathematica. 247:155-173
Autor:
Jan Prüss, Gieri Simonett
Publikováno v:
Journal of Elliptic and Parabolic Equations. 5:25-45
The microscopic bidomain problem with FitzHugh–Nagumo ionic transport is studied in the $$L_p$$ – $$L_q$$ -framework. Reformulating the problem as a semilinear evolution equation on the interface, local well-posedness is proved in strong as well
Autor:
Jan Prüss
Publikováno v:
Journal of Evolution Equations. 18:1543-1574
Generalized Stokes operators $$A_S$$ arise as linearizations of various models for non-Newtonian fluid flows. Here, it is proved that such operators in fairly general settings of domains and boundary conditions admit a bounded $${\mathcal H}^\infty $
Autor:
Matthias Hieber, Jan Prüss
Publikováno v:
Archiv der Mathematik. 111:313-327
The bidomain problem with FitzHugh–Nagumo transport is studied in the $$L_p\!-\!L_q$$ -framework. Reformulating the problem as a semilinear evolution equation, local well-posedness is proved in strong as well as in weak settings. We obtain solvabil
Publikováno v:
Journal of Differential Equations. 264:2028-2074
We present a comprehensive theory of critical spaces for the broad class of quasilinear parabolic evolution equations. The approach is based on maximal $L_p$-regularity in time-weighted function spaces. It is shown that our notion of critical spaces
Autor:
Jan Prüss, Senjo Shimizu
Publikováno v:
Proceedings - Mathematical Sciences. 127:815-831
A thermodynamically consistent model for incompressible two-phase flows with phase transitions is considered mathematically. The model is based on first principles, i.e., balance of mass, momentum and energy. In the isothermal case, this problem is a