N
Norbert Požár
Researcher at Kanazawa University
Publications - 17
Citations - 186
Norbert Požár is an academic researcher from Kanazawa University. The author has contributed to research in topics: Mean curvature flow & Flow (mathematics). The author has an hindex of 8, co-authored 17 publications receiving 147 citations. Previous affiliations of Norbert Požár include University of Tokyo.
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Porous medium equation to Hele-Shaw flow with general initial density
Inwon Kim,Norbert Požár +1 more
TL;DR: In this paper, the authors studied the stiff pressure limit of the porous medium equation, where the initial density is a bounded, integrable function with a sufficient decay at infinity.
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Nonlinear Elliptic-Parabolic Problems
Inwon Kim,Norbert Požár +1 more
TL;DR: In this article, the authors introduce a notion of viscosity solutions for a general class of elliptic-parabolic phase transition problems, including the Richards equation, which is a classical model in filtration theory.
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Approximation of General Facets by Regular Facets with Respect to Anisotropic Total Variation Energies and Its Application to Crystalline Mean Curvature Flow
Yoshikazu Giga,Norbert Požár +1 more
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Homogenization of the Hele-Shaw Problem in Periodic Spatiotemporal Media
Norbert Požár,Norbert Požár +1 more
TL;DR: In this paper, the authors consider the homogenization of the Hele-Shaw problem in periodic media that are inhomogeneous both in space and time and show that the solutions of the inhomogenous problem converge in the homogeneization limit to the solution of a homogeneous HeleShaw type problem with a general, possibly nonlinear dependence of the free boundary velocity on the gradient.
Posted Content
A level set crystalline mean curvature flow of surfaces
Yoshikazu Giga,Norbert Požár +1 more
TL;DR: In this article, the authors introduce a new notion of viscosity solutions for the level set formulation of the motion by crystalline mean curvature in three dimensions, which satisfy the comparison principle, stability with respect to an approximation by regularized problems.