Search Results - "Prüss, Jan"
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1
On the Navier–Stokes equations on surfaces
Published in Journal of evolution equations (01-09-2021)“…We consider the motion of an incompressible viscous fluid that completely covers a smooth, compact and embedded hypersurface Σ without boundary and flows along…”
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2
Qualitative behaviour of solutions for the two-phase Navier–Stokes equations with surface tension
Published in Mathematische annalen (01-06-2013)“…The two-phase free boundary value problem for the isothermal Navier–Stokes system is studied for general bounded geometries in absence of phase transitions,…”
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3
Bounded H∞-calculus for a class of nonlocal operators: the bidomain operator in the Lq-setting
Published in Mathematische annalen (2020)“…The bidomain operator A , a nonlocal operator, is studied in a bounded domain Ω ⊂ R d with boundary ∂ Ω of class C 2 - within the L q -setting for 1 < q < ∞ …”
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4
Qualitative Behaviour of Incompressible Two-Phase Flows with Phase Transitions: The Case of Non-Equal Densities
Published in Communications in partial differential equations (03-07-2014)“…Our study of a basic model for incompressible two-phase flows with phase transitions consistent with thermodynamics in the case of constant but non-equal…”
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5
On convergence of solutions to equilibria for quasilinear parabolic problems
Published in Journal of Differential Equations (15-05-2009)“…We show convergence of solutions to equilibria for quasilinear parabolic evolution equations in situations where the set of equilibria is non-discrete, but…”
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6
Qualitative behaviour of incompressible two-phase flows with phase transitions: The isothermal case
Published in Proceedings of the Indian Academy of Sciences. Mathematical sciences (2017)“…A thermodynamically consistent model for incompressible two-phase flows with phase transitions is considered mathematically. The model is based on first…”
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7
Addendum to the paper “On quasilinear parabolic evolution equations in weighted $$L_p$$ L p -spaces II”
Published in Journal of evolution equations (01-12-2017)Get full text
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8
On quasilinear parabolic evolution equations in weighted L p -spaces II
Published in Journal of evolution equations (01-09-2014)Get full text
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9
Polynomial stability of operator semigroups
Published in Mathematische Nachrichten (01-10-2006)“…We investigate polynomial decay of classical solutions of linear evolution equations. For bounded strongly continuous semigroups on a Banach space this…”
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10
Existence of analytic solutions for the classical Stefan problem
Published in Mathematische annalen (01-07-2007)“…We prove that under mild regularity assumptions on the initial data the two-phase classical Stefan problem admits a (unique) solution that is analytic in space…”
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11
Maximal regularity and asymptotic behavior of solutions for the Cahn–Hilliard equation with dynamic boundary conditions
Published in Annali di matematica pura ed applicata (01-10-2006)“…This paper deals with the Cahn–Hilliard equation subject to the boundary conditions and the initial condition ψ(0,x) = ψ0(x) where J = (0,∞), and Ω ⊂ ℝn is a…”
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12
On a Navier–Stokes–Ohm problem from plasma physics
Published in Journal of evolution equations (01-06-2018)Get full text
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13
On the quasi-geostrophic equations on compact closed surfaces in R3
Published in Journal of functional analysis (15-03-2017)“…The quasi-geostrophic equations on compact surfaces in R3 without boundary are studied by means of the theory of quasi-linear parabolic evolution equations…”
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14
H^\infty-calculus for the sum of non-commuting operators
Published in Transactions of the American Mathematical Society (01-08-2007)“…A recent result of Kalton and Weis is extended to the case of non-commuting operators, employing the commutator condition of Labbas and Terreni, or of Da Prato…”
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15
H^\infty $$ H ∞ -calculus for generalized Stokes operators
Published in Journal of evolution equations (01-09-2018)Get full text
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16
Bounded $$H^\infty $$-calculus for a class of nonlocal operators: the bidomain operator in the $$L_q$$-setting
Published in Mathematische annalen (01-12-2020)Get full text
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17
H∞-calculus for generalized Stokes operators
Published in Journal of evolution equations (2018)“…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…”
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18
Reaction–diffusion systems of Maxwell–Stefan type with reversible mass-action kinetics
Published in Nonlinear analysis (01-08-2017)“…The mass-based Maxwell–Stefan approach to one-phase multicomponent reactive mixtures is mathematically analyzed. It is shown that the resulting quasilinear,…”
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19
On the quasi-geostrophic equations on compact closed surfaces in R 3
Published in Journal of functional analysis (15-03-2017)Get full text
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20
Dynamics of the Ericksen–Leslie Equations with General Leslie Stress II: The Compressible Isotropic Case
Published in Archive for rational mechanics and analysis (01-09-2019)“…In this article, the non-isothermal compressible Ericksen–Leslie system for nematic liquid crystals subject to general Leslie stress is considered. It is shown…”
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