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Published in 2020 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-020-05048-w
Abstract: In this paper, we study a boundary-value problem for a loaded hyperbolic-parabolic equation with degeneracy of order in the domain of its hyperbolicity. The existence and uniqueness theorems for solutions of this problem are proved…
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Keywords:
value problem;
problem;
boundary value;
hyperbolic parabolic ... See more keywords
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Published in 2022 at "IEEE Transactions on Image Processing"
DOI: 10.1109/tip.2022.3149230
Abstract: In this work, we propose a non-linear hyperbolic-parabolic coupled Partial Differential Equation (PDE) based model for image despeckling. Here, a separate equation is used to calculate the edge variable, which improves the quality of edge…
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Keywords:
non linear;
model;
hyperbolic parabolic;
image despeckling ... See more keywords
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Published in 2019 at "Differential Equations"
DOI: 10.1134/s001226611902006x
Abstract: A Carleman estimate is obtained for the solutions of a hyperbolic-parabolic system adjoint to the Navier–Stokes equations for a compressible medium.
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Keywords:
carleman estimate;
hyperbolic parabolic;
parabolic system;
estimate hyperbolic ... See more keywords
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Published in 2017 at "Discrete and Continuous Dynamical Systems"
DOI: 10.3934/dcds.2018018
Abstract: We study time asymptotic decay of solutions for a general system of hyperbolic-parabolic balance laws in multi space dimensions. The system has physical viscosity matrices and a lower order term for relaxation, damping or chemical…
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Keywords:
parabolic systems;
hyperbolic parabolic;
balance laws;
general hyperbolic ... See more keywords