Stability of steady states of the 3-D Navier-Stokes-Poisson equations with non-flat doping profile in exterior domains

Authors: Du, Yingzhi, Liu, Hairong

Subject Terms: Mathematics - Analysis of PDEs, 35Q35, 35B40

Access URL: http://arxiv.org/abs/2411.03594

Large time behavior of solutions to the 2D damped wave-type magnetohydrodynamic equations

Authors: Xie, Yaowei, Yu, Huan

Subject Terms: Mathematics - Analysis of PDEs, 35Q35, 35B40, 76D03

Access URL: http://arxiv.org/abs/2411.01461

Asymptotics of two-dimensional hydroelastic waves: The zero mass, zero bending limit

Authors: Liu, Shunlian, Ambrose, David M.

Subject Terms: Mathematics - Analysis of PDEs, 35Q35, 35B40, 35Q31, 76B07, 76B45

Access URL: http://arxiv.org/abs/2406.13288

An analytical investigation into solute transport and sorption via intra-particle diffusion in the dual-porosity limit

Authors: Auton, Lucy C., Aguareles, Maria, Valverde, Abel, Myers, Timothy G., Calvo-Schwarzwalder, Marc

Subject Terms: Condensed Matter - Other Condensed Matter, Physics - Fluid Dynamics, 35Q35, 35B40

Access URL: http://arxiv.org/abs/2311.10161

Rigorous Derivation of Discrete Fracture Models for Darcy Flow in the Limit of Vanishing Aperture

Authors: Hörl, Maximilian, Rohde, Christian

Source: Netw. Heterog. Media 19(1) (2024), pp. 114-156

Subject Terms: Mathematics - Analysis of PDEs, 76S05, 58J90, 35Q35, 35B40

Access URL: http://arxiv.org/abs/2308.03474

Relaxation approximation and asymptotic stability of stratified solutions to the IPM equation

Authors: Bianchini, Roberta, Crin-Barat, Timothée, Paicu, Marius

Subject Terms: Mathematics - Analysis of PDEs, Mathematical Physics, 35Q35, 35B40, 76N1

Access URL: http://arxiv.org/abs/2210.02118

Coercivity of the Dirichlet-to-Neumann operator and applications to the Muskat problem

Authors: Nguyen, Huy Q.

Subject Terms: Mathematics - Analysis of PDEs, 35J25, 35Q35, 35B40

Access URL: http://arxiv.org/abs/2206.02321

Optimal decay of full compressible Navier-Stokes equations with potential force

Authors: Gao, Jincheng, Li, Minling, Yao, Zheng-an

Subject Terms: Mathematics - Analysis of PDEs, 35Q30, 35Q35, 35B40

Access URL: http://arxiv.org/abs/2201.08939

Optimal decay of compressible Navier-Stokes equations with or without potential force

Authors: Gao, Jincheng, Li, Minling, Yao, Zheng-an

Subject Terms: Mathematics - Analysis of PDEs, 35Q30, 35Q35, 35B40

Access URL: http://arxiv.org/abs/2108.02453

On a spatially inhomogeneous nonlinear Fokker-Planck equation: Cauchy problem and diffusion asymptotics

Authors: Anceschi, Francesca, Zhu, Yuzhe

Source: Analysis & PDE 17 (2024) 379-420

Subject Terms: Mathematics - Analysis of PDEs, 35Q84, 35A01, 35Q35, 35B40

Access URL: http://arxiv.org/abs/2102.12795

On the forced surface quasi-geostrophic equation: Existence of steady states and sharp relaxation rates

Authors: Hadadifard, Fazel, Stefanov, Atanas G.

Subject Terms: Mathematics - Analysis of PDEs, 35Q35, 35B40, 76D03, 76B03, 76D07

Access URL: http://arxiv.org/abs/2008.09868

Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions

Authors: Shi, Weixuan

Subject Terms: Mathematics - Analysis of PDEs, 35Q35, 35B40, 76N15

Access URL: http://arxiv.org/abs/1908.01209

Analysis of a projection method for the Stokes problem using an $\varepsilon$-Stokes approach

Authors: Kimura, Masato, Matsui, Kazunori, Muntean, Adrian, Notsu, Hirofumi

Subject Terms: Mathematics - Analysis of PDEs, 76D03, 35Q35, 35B40, 65N30

Access URL: http://arxiv.org/abs/1812.10250

On the sharp time decay rates for the 2D generalized quasi-geostrophic equation and the Boussinesq system

Authors: Stefanov, Atanas G., Hadadifard, Fazel

Subject Terms: Mathematics - Analysis of PDEs, 35Q35, 35B40, 76D03

Access URL: http://arxiv.org/abs/1806.10516

Asymptotic analysis of an $\varepsilon$-Stokes problem connecting Stokes and pressure-Poisson problems

Authors: Matsui, Kazunori, Muntean, Adrian

Subject Terms: Mathematics - Analysis of PDEs, 76D03 (Primary), 35Q35, 35B40 (Secondary)

Access URL: http://arxiv.org/abs/1712.02588

Long time behavior of solutions to the 3D Hall-magneto-hydrodynamics system with one diffusion

Authors: Dai, Mimi, Liu, Han

Source: Journal of Differential Equations, Vol. 266: 7658-7677, 2019

Subject Terms: Mathematics - Analysis of PDEs, 35Q35, 35B40, 35Q85

Access URL: http://arxiv.org/abs/1705.02647

Symmetric flows for compressible heat-conducting fluids with temperature dependent viscosity coefficients

Authors: Wan, Ling, Wang, Tao

Source: Journal of Differential Equations 262 (2017), no. 12, 5939--5977

Subject Terms: Mathematics - Analysis of PDEs, 35Q35 (35B40, 76N10)

Access URL: http://arxiv.org/abs/1702.07896

One-Dimensional Compressible Heat-Conducting Gas with Temperature-Dependent Viscosity

Authors: Wang, Tao, Zhao, Huijiang

Source: Mathematical Models and Methods in Applied Sciences 26 (2016), no. 12, 2237--2275

Subject Terms: Mathematics - Analysis of PDEs, 35Q35, 35B40, 76N10

Access URL: http://arxiv.org/abs/1505.05252

Passive scalars, moving boundaries, and Newton's law of cooling

Authors: Jang, Juhi, Tice, Ian

Subject Terms: Mathematics - Analysis of PDEs, Primary 35Q35, 35B40, 35A23, Secondary 35A23, 35Q30, 58J65

Access URL: http://arxiv.org/abs/1406.0471

Well-posedness and exponential decay of solutions for the Blackstock-Crighton-Kuznetsov equation

Authors: Brunnhuber, Rainer

Source: J. Math. Anal. Appl. 433 (2016), 1037-1054

Subject Terms: Mathematics - Analysis of PDEs, 35L75, 35Q35, 35B40, 35B65

Access URL: http://arxiv.org/abs/1405.6494