5 citations · 5 across the 4 of their papers we have counts for
5 papers
Keller-Segel-Navier-Stokes systems involving general sensitivities with Signal-Dependent Power-Law Decay
Jaewook Ahn, Sukjung Hwang
This paper investigates a two-dimensional Keller--Segel--Navier--Stokes system with a tensor-valued chemotactic sensitivity . Under a signal-dependent power-decay conditi…
Existence of weak solutions for Porous medium equation with a divergence type of drift term in a bounded domain
Sukjung Hwang, Kyungkeun Kang, Hwa Kil Kim
We study porous medium equations with a divergence form of drift terms in a bounded domain with no-flux lateral boundary conditions. We establish -weak solutions for $ 1\leq q…
Continuity results for degenerate diffusion equations with drifts
Sukjung Hwang, Yuming Paul Zhang
In this paper, we study local uniform continuity of nonnegative weak solutions to degenerate diffusion-drift equations in the form \[ u_{t} = Δu^{m} + \nabla\cdot \left( B (x,t) \,…
Uniform boundedness for weak solutions of quasilinear parabolic equations
Karthik Adimurthi, Sukjung Hwang
In this paper, we study the boundedness of weak solutions to quasilinear parabolic equations of the form \[u_t - \text{div} \mathcal{A}(x,t,\nabla u) = 0, \] where the nonlinearity…
Parabolic Dirichlet Boundary Value Problem and VMO-type time-varying domains
Martin Dindoš, Luke Dyer, Sukjung Hwang
We prove the solvability of the parabolic Dirichlet boundary value problem for for a PDE of the form $u_t = \mbox{div} (A \nabla u) + B \cdot \nabla u$ on…