Search Results - "Woźnicki, Jakub"
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Weak–strong uniqueness for a class of generalized dissipative weak solutions for non-homogeneous, non-Newtonian and incompressible fluids
Published in Nonlinear analysis: real world applications (01-04-2022)“…We consider a system of PDEs describing a non-homogeneous, non-Newtonian and incompressible fluid in a space-periodic domain. We define the generalized…”
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2
Parabolic equations with non-standard growth and measure or integrable data
Published in Nonlinear analysis (01-02-2025)“…We consider a parabolic partial differential equation with Dirichlet boundary conditions and measure or L1 data. The key difficulty consists of the presence of…”
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3
Non-Newtonian fluids with discontinuous-in-time stress tensor
Published in Journal of functional analysis (15-07-2023)“…We consider the system of equations describing the flow of incompressible fluids in bounded domain. In the considered setting, the Cauchy stress tensor is a…”
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4
Cahn–Hillard and Keller–Segel systems as high-friction limits of Euler–Korteweg and Euler–Poisson equations
Published in Calculus of variations and partial differential equations (01-03-2024)“…We consider a combined system of Euler–Korteweg and Euler–Poisson equations with friction and exponential pressure with exponent γ > 1 . We show the existence…”
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5
Mv-strong uniqueness for density dependent, non-Newtonian, incompressible fluids
Published 06-01-2021“…We consider density dependent, non-Newtonian, incompressible system with the space being flat torus. The viscious stress in the momentum equation is understood…”
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6
Parabolic equations with non-standard growth and measure or integrable data
Published 04-08-2023“…We consider a parabolic partial differential equation with Dirichlet boundary conditions and measure or $L^1$ data. The key difficulty consists in a presence…”
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7
Strong Convergence of Vorticities in the 2D Viscosity Limit on a Bounded Domain
Published 09-06-2024“…In the vanishing viscosity limit from the Navier-Stokes to Euler equations on domains with boundaries, a main difficulty comes from the mismatch of boundary…”
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8
Cahn-Hillard and Keller-Segel systems as high-friction limits of Euler-Korteweg and Euler-Poisson equations
Published 08-04-2023“…We consider a combined system of Euler--Korteweg and Euler--Poisson equations with friction and exponential pressure with exponent $\gamma > 1$. We show the…”
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9
Non-Newtonian fluids with discontinuous-in-time stress tensor
Published 21-09-2022“…We consider the system of equations describing the flow of incompressible fluids in bounded domain. In the considered setting, the Cauchy stress tensor is a…”
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Journal Article