Abstract approach of degenerate parabolic equations with dynamic boundary conditions
An initial boundary value problem of the nonlinear diffusion equation with a dynamic boundary condition is treated. The existence problem of the initial-boundary value problem is discussed. The main idea of the proof is an abstract approach from the evolution equation governed by the subdifferential.
Fukao, Takeshi, Motoda, Taisih
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Optimal regularity for a class of singular abstract parabolic equations
A general class of singular abstract Cauchy problems is considered which naturally arises in applications to certain Free Boundary Problems. Existence of an associated evolution operator characterizing its solutions is established and is subsequently used to derive optimal regularity results. The latter are well known to be important basic tools needed
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In this article, the stabilization of coupled time fractional parabolic partial differential equations subject to external disturbances is investigated. By using sliding mode control method and backstepping approach, a boundary state feedback controller ...
Jiake Sun, Junmin Wang, Hanwen Zhang
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On the Time Periodic Free Boundary Associated to Some Nonlinear Parabolic Equations
We give sufficient conditions, being also necessary in many cases, for the existence of a periodic free boundary generated as the boundary of the support of the periodic solution of a general class of nonlinear parabolic equations.
Díaz JI, Badii M
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Stabilization of solutions of abstract parabolic equations [PDF]
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Simultaneous Numerical Determination of Two Time-dependent Coefficients in Second Order Parabolic Equation With Nonlocal Initial and Boundary Conditions. [PDF]
A J Al-Shatrah M, Sabah Hussein M.
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Nonlinear SPDEs and Maximal Regularity: An Extended Survey. [PDF]
Agresti A, Veraar M.
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Ultrashort Echo Time Double Echo Steady-State MRI for Quantitative Conductivity Mapping in the Knee: A Feasibility Study. [PDF]
Sedaghat S +4 more
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Analytical solution of the classical Rayleigh length definition, including truncation at arbitrary values. [PDF]
Lenferink A, Otto C.
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A Comparison of Coupling Strategies for 1D-3D Simulations of Coronary Hemodynamics. [PDF]
Hilhorst PLJ +6 more
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