1 citations · 1 across the 4 of their papers we have counts for
6 papers
Weak Exponential Attractors for Coleman--Gurtin Equations with Dynamic Boundary Conditions Possessing Different Memory Kernels
Joseph L. Shomberg
The well-posedness of a generalized Coleman--Gurtin equation equipped with dynamic boundary conditions with memory was recently established by C.G. Gal and the author. Additionally…
Global existence of weak solutions for strongly damped wave equations with nonlinear boundary conditions and balanced potentials
Joseph L. Shomberg
We demonstrate the global existence of weak solutions to a class of semilinear strongly damped wave equations possessing nonlinear hyperbolic dynamic boundary conditions. Our work…
Upper-semicontinuity of the global attractors for a class of nonlocal Cahn-Hilliard equations
Joseph L. Shomberg
The aim of this work is to examine the upper-semicontinuity properties of the family of global attractors admitted by a non-isothermal viscous relaxation of some nonlocal Cahn-Hill…
Well-posedness and Global Attractors for Viscous Fractional Cahn-Hilliard Equations with Memory
Eylem Öztürk, Joseph L. Shomberg
We examine a viscous Cahn-Hilliard phase-separation model with memory and where the chemical potential possesses a nonlocal fractional Laplacian operator. The existence of global w…
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…
Hyperbolic Relaxation of Reaction Diffusion Equations with Dynamic Boundary Conditions
Ciprian G. Gal, Joseph L. Shomberg
Under consideration is the hyperbolic relaxation of a semilinear reaction-diffusion equation on a bounded domain, subject to a dynamic boundary condition. We also consider the limi…