Search Results - "Gwiazda, Piotr"

Regularity and Energy Conservation for the Compressible Euler Equations by Feireisl, Eduard, Gwiazda, Piotr, Świerczewska-Gwiazda, Agnieszka, Wiedemann, Emil

“…We give sufficient conditions on the regularity of solutions to the inhomogeneous incompressible Euler and the compressible isentropic Euler systems in order…”
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A Note on Weak Solutions of Conservation Laws and Energy/Entropy Conservation by Gwiazda, Piotr, Michálek, Martin, Świerczewska-Gwiazda, Agnieszka

“…A common feature of systems of conservation laws of continuum physics is that they are endowed with natural companion laws which are in such cases most often…”
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Time periodic motion of temperature driven compressible fluids by Feireisl, Eduard, Gwiazda, Piotr, Świerczewska-Gwiazda, Agnieszka

“…We consider the Navier–Stokes–Fourier system describing the motion of a compressible viscous fluid in a container with impermeable boundary subject to time…”
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On renormalized solutions to elliptic inclusions with nonstandard growth by Denkowska, Anna, Gwiazda, Piotr, Kalita, Piotr

“…We study the elliptic inclusion given in the following divergence form - div A ( x , ∇ u ) ∋ f in Ω , u = 0 on ∂ Ω . As we assume that f ∈ L 1 ( Ω ) , the…”
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Cahn–Hillard and Keller–Segel systems as high-friction limits of Euler–Korteweg and Euler–Poisson equations by Gallenmüller, Dennis, Gwiazda, Piotr, Świerczewska-Gwiazda, Agnieszka, Woźnicki, Jakub

“…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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On the high friction limit for the complete Euler system by Feireisl, Eduard, Gwiazda, Piotr, Kwon, Young-Sam, Świerczewska-Gwiazda, Agnieszka

“…We show that solutions of the complete Euler system of gas dynamics perturbed by a friction term converge to a solution of the porous medium equation in the…”
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Mathematical Theory of Compressible Magnetohydrodynamics Driven by Non-conservative Boundary Conditions by Feireisl, Eduard, Gwiazda, Piotr, Kwon, Young-Sam, Świerczewska-Gwiazda, Agnieszka

“…We propose a new concept of weak solution to the equations of compressible magnetohydrodynamics driven by ihomogeneous boundary data. The system of the…”
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Bayesian inference of a non-local proliferation model by Szymańska, Zuzanna, Skrzeczkowski, Jakub, Miasojedow, Błażej, Gwiazda, Piotr

“…From a systems biology perspective, the majority of cancer models, although interesting and providing a qualitative explanation of some problems, have a major…”
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Elliptic problems in generalized Orlicz-Musielak spaces by Gwiazda Piotr, Minakowski Piotr, Wróblewska-Kamińska Aneta

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Measure valued solutions to conservation laws motivated by traffic modelling by Benzoni-Gavage, Sylvie, Colombo, Rinaldo M, Gwiazda, Piotr

“…Motivated by a traffic model, we study a conservation law whose solutions naturally need to be bounded Radon measures. We investigate the relations between…”
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Analysis of the generalized Aw-Rascle model by Chaudhuri, Nilasis, Gwiazda, Piotr, Zatorska, Ewelina

“…We consider the multi-dimensional generalization of the Aw-Rascle system for vehicular traffic. For arbitrary large initial data and the periodic boundary…”
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On the rate of convergence of Yosida approximation for the nonlocal Cahn–Hilliard equation by Gwiazda, Piotr, Skrzeczkowski, Jakub, Trussardi, Lara

“…It is well-known that one can construct solutions to the nonlocal Cahn–Hilliard equation with singular potentials via Yosida approximation with parameter…”
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This Business of Words: Reassessing Anne Sexton ed. by Amanda Golden (review) by Gwiazda, Piotr

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On a Range of Exponents for Absence of Lavrentiev Phenomenon for Double Phase Functionals by Bulíček, Miroslav, Gwiazda, Piotr, Skrzeczkowski, Jakub

“…For a class of functionals having the ( p ,  q )-growth, we establish an improved range of exponents p , q for which the Lavrentiev phenomenon does not occur…”
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Parabolic equations in Musielak - Orlicz spaces with discontinuous in time N-function by Bulíček, Miroslav, Gwiazda, Piotr, Skrzeczkowski, Jakub

“…We consider a parabolic PDE with Dirichlet boundary condition and monotone operator A with non-standard growth controlled by an N-function depending on time…”
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Dissipative measure-valued solutions to the compressible Navier–Stokes system by Feireisl, Eduard, Gwiazda, Piotr, Świerczewska-Gwiazda, Agnieszka, Wiedemann, Emil

“…We introduce a new concept of dissipative measure-valued solution to the compressible Navier–Stokes system satisfying, in addition, a relevant form of the…”
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A two-species hyperbolic-parabolic model of tissue growth by Gwiazda, Piotr, Perthame, Benoît, Świerczewska-Gwiazda, Agnieszka

“…Models of tissue growth are now well established, in particular, in relation to their applications to cancer. They describe the dynamics of cells subject to…”
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Magdalena Kay: In Gratitude for All the Gifts: Seamus Heaney and Eastern Europe by Gwiazda, Piotr

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A nonlinear structured population model: Lipschitz continuity of measure-valued solutions with respect to model ingredients by Gwiazda, Piotr, Lorenz, Thomas, Marciniak-Czochra, Anna

“…This paper is devoted to the analysis of measure-valued solutions to a nonlinear structured population model given in the form of a nonlocal first-order…”
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Renormalized solutions of nonlinear elliptic problems in generalized Orlicz spaces by Gwiazda, Piotr, Wittbold, Petra, Wróblewska, Aneta, Zimmermann, Aleksandra

“…We study a general class of nonlinear elliptic problems associated with the differential inclusion β(x,u)−div(a(x,∇u)+F(u))∋f, where f∈L1(Ω). The vector field…”
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