Global classical solutions and convergence to a mathematical model for cancer cells invasion and metastatic spread
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.03.018
Abstract: Abstract In this paper, we consider the following system { u t = Δ u − χ ∇ ⋅ ( u ∇ ω ) , v t = d v Δ v − ξ ∇… read more here.
Keywords: invasion metastatic; global classical; metastatic spread; cancer cells ... See more keywords
On the global classical solutions for the generalized SQG equation
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2022.109503
Abstract: In this paper, we study the existence of global classical solutions to the generalized surface quasi-geostrophic equation. By using the variational method, we provide some new families of global classical solutions for to the generalized… read more here.
Keywords: generalized sqg; sqg equation; classical solutions; global classical ... See more keywords
Global classical solutions of compressible isentropic Navier–Stokes equations with small density
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinear Analysis: Real World Applications"
DOI: 10.1016/j.nonrwa.2017.12.005
Abstract: Abstract This paper concerns the Cauchy problem of compressible isentropic Navier–Stokes equations in the whole space R 3 . First, we show that if ρ 0 ∈ L γ ∩ H 3 , then the… read more here.
Keywords: stokes equations; density; global classical; isentropic navier ... See more keywords