Fractional-Order Ultrasonic Sensing for Monitoring Microstructural Evolution in Cementitious Materials. [PDF]
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Indirect Internal Controllability of Weakly Coupled Degenerate Wave Equations
Acta Applicandae Mathematicae, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Exact controllability for some degenerate wave equations
Mathematical Methods in the Applied Sciences, 2020In this paper, we study one‐dimensional linear degenerate wave equations with a distributed controller. We establish observability inequalities for degenerate wave equation by multiplier method. We also deduce the exact controllability for degenerate wave equation by Hilbert uniqueness method when the control acts on the nondegenerate boundary ...
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Electromagnetic wave equations for relativistically degenerate quantum magnetoplasmas
Physical Review E, 2010A generalized set of nonlinear electromagnetic quantum hydrodynamic (QHD) equations is derived for a magnetized quantum plasma, including collisional, electron spin- 1/2, and relativistically degenerate electron pressure effects that are relevant for dense astrophysical systems, such as white dwarfs.
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Homogenization of Degenerate Wave Equations with Periodic Coefficients
SIAM Journal on Mathematical Analysis, 1993Summary: The authors discuss homogenization of hyperbolic equations involving periodic coefficients which are degenerate relative to a certain direction. The general scheme by which effective equations are obtained is as the reiterated homogenization. The first step of the process leads to equations describing the oscillatory behavior in the direction ...
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Attractors for wave equations with degenerate memory
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Some nonlinear degenerate wave equations
Nonlinear Analysis: Theory, Methods & Applications, 1987This article is concerned with the local solvability for the initial boundary value problem (P) \[ \partial^ 2u/\partial t^ 2- (\int_{\Omega}| \text{grad} u(x,t)|^ 2 dx)^{\alpha} \Delta u=0\text{ in } \Omega \times (0,\infty), \] \[ u=0\text{ on }\partial \Omega \times (0,\infty),\quad u(\cdot,0)=\phi,\quad (\partial u/\partial t)(\cdot,0)=\psi \text ...
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