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Showing 2018 · math.APShow all
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math.AP2018
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…
math.AP2018★ 1 cited
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…
math.AP2018
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…