15 citations · 36 across the 15 of their papers we have counts for
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Well-posedness and global attractors for a non-isothermal viscous relaxation of nonlocal Cahn-Hilliard equations
Joseph L. Shomberg
We investigate a non-isothermal viscous relaxation of some nonlocal Cahn-Hilliard equations. This perturbation problem generates a family of solution operators, exhibiting dissipat…
Regular global attractors for wave equations with degenerate memory
Joseph L. Shomberg
We consider the wave equation with degenerate viscoelastic dissipation recently examined in Cavalcanti, Fatori, and Ma, Attractors for wave equations with degenerate memory, J. Dif…
Robust Exponential Attractors for Coleman--Gurtin Equations with Dynamic Boundary Conditions Possessing Memory
Joseph L. Shomberg
The well-posedness of a generalized Coleman--Gurtin equation equipped with dynamic boundary conditions with memory was recently established by the author with C.G. Gal. In this art…
Attractors for Damped Semilinear Wave Equations with Singularly Perturbed Acoustic Boundary Conditions
Joseph L. Shomberg
Under consideration is the damped semilinear wave equation \[ u_{tt}+u_t-Δu+u+f(u)=0 \] in a bounded domain in subject to an acoustic boundary condition with a s…