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pro vyhledávání: '"Simonett, Gieri"'
We consider the motion of an incompressible viscous fluid on a compact Riemannian manifold $\sM$ with boundary. The motion on $\sM$ is modeled by the incompressible Navier-Stokes equations, and the fluid is subject to pure or partial slip boundary co
Externí odkaz:
http://arxiv.org/abs/2311.01221
We introduce a system of equations that models a non-isothermal magnetoviscoelastic fluid. We show that the model is thermodynamically consistent, and that the critical points of the entropy functional with prescribed energy correspond exactly with t
Externí odkaz:
http://arxiv.org/abs/2305.13432
We show that the system of equations describing a magnetoviscoelastic fluid in three dimensions can be cast as a quasilinear parabolic system. Using the theory of maximal $L_p$-regularity, we establish existence and uniqueness of local strong solutio
Externí odkaz:
http://arxiv.org/abs/2203.12488
Autor:
Simonett, Gieri, Wilke, Mathias
We consider a smooth, compact and embedded hypersurface $\Sigma$ without boundary and show that the corresponding (shifted) surface Stokes operator $\omega+A_{S,\Sigma}$ admits a bounded $H^\infty$-calculus with angle smaller than $\pi/2$, provided $
Externí odkaz:
http://arxiv.org/abs/2111.12586
We consider the motion of an incompressible viscous fluid that completely covers a smooth, compact and embedded hypersurface $\Sigma$ without boundary and flows along $\Sigma$. Local-in-time well-posedness is established in the framework of $L_p$-$L_
Externí odkaz:
http://arxiv.org/abs/2005.00830
We consider the surface diffusion and Willmore flows acting on a general class of (possibly non-compact) hypersurfaces parameterized over a uniformly regular reference manifold possessing a tubular neighborhood with uniform radius. The surface diffus
Externí odkaz:
http://arxiv.org/abs/1901.00208
We consider the inertial motion of a system constituted by a rigid body with an interior cavity entirely filled with a viscous incompressible fluid. Navier boundary conditions are imposed on the cavity surface. We prove the existence of weak solution
Externí odkaz:
http://arxiv.org/abs/1809.03852
Publikováno v:
In Nonlinear Analysis: Real World Applications February 2023 69
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Autor:
LeCrone, Jeremy, Simonett, Gieri
We consider a class of abstract quasilinear parabolic problems with lower--order terms exhibiting a prescribed singular structure. We prove well--posedness and Lipschitz continuity of associated semiflows. Moreover, we investigate global existence of
Externí odkaz:
http://arxiv.org/abs/1808.01032