Existence Results to a Class of Nonlinear Parabolic Systems Involving Potential and Gradient Terms
Sign Up to like & getrecommendations! Published in 2020 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-020-01542-2
Abstract: In this paper, we investigate the existence of solutions to a nonlinear parabolic system, which couples a non-homogeneous reaction-diffusion-type equation and a non-homogeneous viscous Hamilton–Jacobi one. The initial data and right-hand sides satisfy suitable integrability… read more here.
Keywords: parabolic systems; results class; systems involving; class nonlinear ... See more keywords
Blowing Up Solutions for Nonlinear Parabolic Systems with Unequal Elliptic Operators
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DOI: 10.1007/s10884-019-09790-x
Abstract: We give sufficient conditions for the boundedness of the blow-up set and no boundary blow-up for type I blowing up solutions to a nonlinear parabolic system with unequal elliptic operators. We introduce a new method… read more here.
Keywords: solutions nonlinear; blowing solutions; parabolic systems; nonlinear parabolic ... See more keywords
Lorentz estimates for a class of nonlinear parabolic systems
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DOI: 10.1016/j.jde.2018.08.021
Abstract: Abstract In this paper we obtain the following local Lorentz estimates B ( | F | ) ∈ L l o c γ , q ⇒ B ( | ∇ u | ) ∈ L… read more here.
Keywords: class nonlinear; lorentz estimates; estimates class; nonlinear parabolic ... See more keywords
Fault-tolerant control for a class of switched parabolic systems
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DOI: 10.1016/j.nahs.2018.12.003
Abstract: Abstract This paper addresses the fault tolerant control (FTC) problem for switched parabolic systems with process and boundary faults, described by partial differential equation (PDE). The boundary feedback controller is designed to guarantee the exponential… read more here.
Keywords: switched parabolic; fault tolerant; tolerant control; systems fault ... See more keywords
Spectral analysis of localized rotating waves in parabolic systems
Sign Up to like & getrecommendations! Published in 2018 at "Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences"
DOI: 10.1098/rsta.2017.0196
Abstract: In this paper, we study the spectra and Fredholm properties of Ornstein–Uhlenbeck operators where is the profile of a rotating wave satisfying as , the map is smooth and the matrix has eigenvalues with positive… read more here.
Keywords: parabolic systems; analysis localized; waves parabolic; rotating waves ... See more keywords
L P decay for general hyperbolic-parabolic systems of balance laws
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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… read more here.
Keywords: parabolic systems; hyperbolic parabolic; balance laws; general hyperbolic ... See more keywords