A remark on the multi-dimensional compressible Euler system with damping in the 𝐿^{𝑝} critical Besov spaces
From MaRDI portal
Publication:6083351
DOI10.1090/proc/16516zbMath1527.35307MaRDI QIDQ6083351
No author found.
Publication date: 31 October 2023
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- The optimal decay estimates on the framework of Besov spaces for generally dissipative systems
- Large time behavior of solutions for compressible Euler equations with damping in \(\mathbb R^3\)
- Existence of global strong solutions in critical spaces for barotropic viscous fluids
- Large time asymptotics for partially dissipative hyperbolic systems
- \(L ^1\) convergence to the Barenblatt solution for compressible Euler equations with damping
- Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation
- Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping
- Local existence with physical vacuum boundary condition to Euler equations with damping
- Relaxation limit in Besov spaces for compressible Euler equations
- \(L_p\)-convergence rate to nonlinear diffusion waves for \(p\)-system with damping
- Optimal decay rates of the compressible Euler equations with time-dependent damping in \(\mathbb{R}^n\). I: Under-damping case
- Partially dissipative one-dimensional hyperbolic systems in the critical regularity setting, and applications
- Partially dissipative hyperbolic systems in the critical regularity setting: the multi-dimensional case
- Global existence and convergence to the modified Barenblatt solution for the compressible Euler equations with physical vacuum and time-dependent damping
- The 3D compressible Euler equations with damping in a bounded domain
- Global classical solutions for partially dissipative hyperbolic system of balance laws
- Existence and asymptotic behavior of \(C^1\) solutions to the multi-dimensional compressible Euler equations with damping
- Partially dissipative systems in the critical regularity setting, and strong relaxation limit
- Diffusive relaxation limit of the multi-dimensional Jin-Xin system
- Global well-posedness of the compressible Euler with damping in Besov spaces
- A Young-like inequality with applications to the commutator estimates
- Fourier Analysis and Nonlinear Partial Differential Equations
- Long Time Behavior of Solutions to the 3D Compressible Euler Equations with Damping
- The relaxation schemes for systems of conservation laws in arbitrary space dimensions
- The Cauchy Problem for Symmetric Hyperbolic Systems in Lp.
- Global solution for an initial boundary value problem of a quasilinear hyperbolic system
- Convergence to strong nonlinear diffusion waves for solutions of \(p\)-system with damping
- The Hyperbolic-Parabolic Chemotaxis System for Vasculogenesis: Global Dynamics and Relaxation Limit Toward a Keller–Segel Model
- Optimal Decay Rates of the Compressible Euler Equations with Time-Dependent Damping in \({\mathbb {R}}^n\): (II) Overdamping Case
- Global existence for partially dissipative hyperbolic systems in the \(L^p\) framework, and relaxation limit