Výsledky vyhledávání - "Mathias Wilke"

$L_p$-$L_q$-theory for a quasilinear non-isothermal Westervelt equation

Autor: Mathias Wilke

We investigate a quasilinear system consisting of the Westervelt equation from nonlinear acoustics and Pennes bioheat equation, subject to Dirichlet or Neumann boundary conditions. The concept of maximal regularity of type $L_p$-$L_q$ is applied to p

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c6ffb26b31e4b3495ebfeec3c24f371f
http://arxiv.org/abs/2204.09630

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On the Navier–Stokes equations on surfaces

Autor: Jan Prüss, Mathias Wilke, Gieri Simonett

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

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8eef81c2e2f802b4dad0b92bc12a3edf
https://doi.org/10.1007/s00028-020-00648-0

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Well-posedness and qualitative behaviour of the Mullins-Sekerka problem with ninety-degree angle boundary contact

Autor: Maximilian Rauchecker, Mathias Wilke, Helmut Abels

We show local well-posedness for the Mullins-Sekerka system with ninety degree angle boundary contact. We will describe the motion of the moving interface by a height function over a fixed reference surface. Using the theory of maximal regularity tog

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c95ec3378a2883b4eafda454d8efaae7

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Critical spaces for quasilinear parabolic evolution equations and applications

Autor: Gieri Simonett, Mathias Wilke, Jan Prüss

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

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9151785f6ece7bc2f91036a163703bc8
https://doi.org/10.1016/j.jde.2017.10.010

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Reaction–diffusion systems of Maxwell–Stefan type with reversible mass-action kinetics

Autor: Martin Meyries, Jan Prüss, Mathias Wilke, Martin Herberg

Publikováno v: Nonlinear Analysis. 159:264-284

The mass-based Maxwell–Stefan approach to one-phase multicomponent reactive mixtures is mathematically analyzed. It is shown that the resulting quasilinear, strongly coupled reaction–diffusion system is locally well-posed in an L p -setting and g

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4f84013732ae0bf7a4e5d6410ece49b4
https://doi.org/10.1016/j.na.2016.07.010

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Addendum to the paper 'On quasilinear parabolic evolution equations in weighted $$L_p$$ L p -spaces II'

Autor: Mathias Wilke, Jan Prüss

Publikováno v: Journal of Evolution Equations. 17:1381-1388

This note is devoted to a small, but essential, extension of Theorem 2.1 of our recent paper (LeCrone et al. J Evolut Equ 14:509–533 2014). The improvement is explained in “The improvement” section and proved in “Proof of the main result” s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d6529f02e725aaf175cd1e2b31a9b0f8
https://doi.org/10.1007/s00028-017-0382-6

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The Rayleigh–Taylor instability for the Verigin problem with and without phase transition

Autor: Jan Prüss, Gieri Simonett, Mathias Wilke

Publikováno v: Nonlinear Differential Equations and Applications NoDEA. 26

Isothermal compressible two-phase flows in a capillary are modeled with and without phase transition in the presence of gravity, employing Darcy’s law for the velocity field. It is shown that the resulting systems are thermodynamically consistent i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3bed0086606fb6955be16fdd497472dd
https://doi.org/10.1007/s00030-019-0564-8

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