Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Friedrich Lippoth"'
Publikováno v:
European Journal of Applied Mathematics 27 (2016), Nr. 4
European Journal of Applied Mathematics, 27(4), 647-666. Cambridge University Press
European Journal of Applied Mathematics, 27(4), 647-666. Cambridge University Press
Within the framework of variational modelling we derive a one-phase moving boundary problem describing the motion of a semipermeable membrane enclosing a viscous liquid, driven by osmotic pressure and surface tension of the membrane. For this problem
Autor:
Friedrich Lippoth
Publikováno v:
Interfaces and Free Boundaries 18 (2016), Nr. 3
We rigorously justify the quasistationary approximations of two moving boundary problems. We work out a systematic procedure to derive a priori estimates that allow to pass to the singular limit. The problems under our consideration are a one-phase o
Autor:
G Georg Prokert, Friedrich Lippoth
Publikováno v:
Journal of Mathematical Fluid Mechanics, 21(3):40. Birkhäuser Verlag
We consider a two-phase elliptic–parabolic moving boundary problem modelling an evaporation front in a porous medium. Our main result is a proof of short-time existence and uniqueness of strong solutions to the corresponding nonlinear evolution pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e2ee60c61444a536b2b70cca1bffb2ad
Autor:
Friedrich Lippoth
Publikováno v:
Nonlinear Analysis: Real World Applications. 17:1-22
We consider nonlinear coupled evolution equations evolving according to different timescales and study the behavior of solutions as their ratio becomes singular. We derive an abstract result and use it to justify rigorously the quasistationary approx
Autor:
G Georg Prokert, Friedrich Lippoth
Publikováno v:
Nonlinear Differential Equations and Applications, 21(1), 129-148. Birkhäuser Verlag
For a two-phase moving boundary problem modelling the motion of a semipermeable membrane by osmotic pressure and surface tension, we prove that the manifold of equilibria is locally exponentially attractive. Our method relies on maximal regularity re
Autor:
Friedrich Lippoth, G Georg Prokert
Publikováno v:
Interfaces and Free Boundaries 18 (2016), Nr. 2
Interfaces and Free Boundaries, 18(2), 161-179. European Mathematical Society Publishing House
Interfaces and Free Boundaries, 18(2), 161-179. European Mathematical Society Publishing House
Within the framework of variational modelling we derive a two-phase moving boundary problem that describes the motion of a semipermeable membrane separating two viscous liquids in a fixed container. The model includes the effects of osmotic pressure
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cf8744272ed691f24c118f47cf2cd0f6
Autor:
Friedrich Lippoth, G Georg Prokert
Publikováno v:
Journal of Evolution Equations, 12(2), 413-434. Birkhäuser Verlag
For a moving boundary problem modeling the motion of a semipermeable membrane by osmotic pressure and surface tension, we prove the existence and uniqueness of classical solutions on small time intervals. Moreover, we construct solutions existing on
We provide sufficient and almost optimal conditions for global existence of classical solutions in parabolic Holder spaces to quasilinear one-dimensional parabolic problems with dynamical boundary conditions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ebe1d33e8ecb2f0b981e6a3c13c543a1