抄録 This article discusses the Stokes equation in various classes of domains Ω CR n within
the L p-setting for 1≤ p≤∞ from the point of view of evolution equations. Classical as well …

Phase field models recently gained a lot of interest in the context of tumour growth models.
Typically Darcy-type flow models are coupled to Cahn–Hilliard equations. However, often …

The analyticity of the Stokes semigroup with the Dirichlet boundary condition is established
in spaces of bounded functions when the domain occupied with fluid is bounded or more …

In this paper, we prove the R-sectoriality of the resolvent problem for the boundary value
problem of the Stokes operator for the compressible viscous fluids in a general domain …

In this work, we study a model consisting of a Cahn--Hilliard-type equation for the
concentration of tumor cells coupled to a reaction-diffusion-type equation for the nutrient …

We consider a nonlinear system which consists of the incompressible Navier–Stokes
equations coupled with a convective nonlocal Cahn–Hilliard equation. This is a diffuse …

We investigate a multiphase Cahn–Hilliard model for tumor growth with general source
terms. The multiphase approach allows us to consider multiple cell types and multiple …

The fractional Laplacian (− Δ) a (-Δ)^a, a∈(0, 1) a∈(0,1), and its generalizations to variable‐
coefficient 2 a 2a‐order pseudodifferential operators PP, are studied in L q L_q‐Sobolev …

In this paper, we study a distributed optimal control problem for a diffuse interface model for
tumor growth. The model consists of a Cahn–Hilliard type equation for the phase field …

In this paper, we consider the boundary value problem of Stokes operators with variable
viscosity in the case of free boundary condition in a uniform W^2-1/r_r domain of N …