The large-time behavior of solutions in the critical L p framework for compressible viscous and heat-conductive gas flows
From MaRDI portal
Publication:5136146
DOI10.1063/1.5120797zbMath1452.76203arXiv1907.08949OpenAlexW3099461334MaRDI QIDQ5136146
Publication date: 25 November 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.08949
Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Diffusive and convective heat and mass transfer, heat flow (80A19) Compressible Navier-Stokes equations (76N06)
Related Items
Optimal time-decay estimates in the critical framework for a chemotaxis model, Large-time behavior of solutions in the critical spaces for the non-isentropic compressible Navier-Stokes equations with capillarity
Cites Work
- The incompressible limit in \(L^p\) type critical spaces
- Optimal time-decay estimates for the compressible Navier-Stokes equations in the critical \(L^{p}\) framework
- Some estimates of solutions for the equations of motion of compressible viscous fluid in the three-dimensional exterior domain
- Existence of global strong solutions in critical spaces for barotropic viscous fluids
- A global existence result for the compressible Navier--Stokes equations in the critical \(L ^{p }\) framework
- Optimal decay rate for strong solutions in critical spaces to the compressible Navier-Stokes equations
- \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
- The initial value problem for the equations of motion of viscous and heat-conductive gases
- The initial value problem for the equations of motion of compressible viscous and heat-conductive fluids
- The pointwise estimates of diffusion wave for the Navier-Stokes systems in odd multi-dimensions
- Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in \(\mathbb{R}^3\)
- Uniqueness theorems for the three dimensional Navier-Stokes system
- A generalization of a theorem by Kato on Navier-Stokes equations
- Global existence in critical spaces for compressible Navier-Stokes equations
- A sharp time-weighted inequality for the compressible Navier-Stokes-Poisson system in the critical \(L^p\) framework
- Optimal decay estimates in the critical \(L^{p}\) framework for flows of compressible viscous and heat-conductive gases
- On large-time behavior of solutions to the compressible Navier-Stokes equations in the half space in \(\mathbb R^3\)
- Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
- Flows of non-Lipschitzian vector fields and Navier-Stokes equations
- On the well-posedness of the full compressible Navier-Stokes system in critical Besov spaces
- A low-frequency assumption for optimal time-decay estimates to the compressible Navier-Stokes equations
- Asymptotic behavior of solutions of the compressible Navier-Stokes equations on the half-space
- On the Navier-Stokes initial value problem. I
- The Green's function of the Navier-Stokes equations for gas dynamics in \(\mathbb R^3\)
- On the ill-posedness of the compressible Navier-Stokes equations in the critical Besov spaces
- LOCAL THEORY IN CRITICAL SPACES FOR COMPRESSIBLE VISCOUS AND HEAT-CONDUCTIVE GASES
- Fourier Analysis and Nonlinear Partial Differential Equations
- Global well-posedness for compressible Navier-Stokes equations with highly oscillating initial velocity
- Large time behaviour of solutions to the navier-stokes equations
- Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data
- L1 asymptotic behavior of compressible, isentropic, viscous 1‐D flow
- Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow
- Global existence in critical spaces for flows of compressible viscous and heat-conductive gases
