Cover Image

Improved Local Well-Posedness in Sobolev Spaces for Two-Dimensional Compressible Euler Equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Zhang, Huali
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Low Regularity Well-Posedness of Cauchy Problem for Two-Dimensional Relativistic Euler Equation
by: Zhang, Huali
Published: (2025)

Well-Posedness for the Euler Equations in Function Spaces of Generalized Smoothness
by: Harrison, Nicholas, et al.
Published: (2025)

Ill-Posedness of the 2D Euler Equations in a Logarithmically Refined Critical Sobolev Space
by: Cozzi, Elaine, et al.
Published: (2025)

Sharp Ill-Posedness of the Euler Equations in Lorentz Spaces
by: Bang, Jeaheang, et al.
Published: (2026)

Local well-posedness for incompressible neo-Hookean Elastic equations in almost critical Sobolev spaces
by: Zhang, Huali
Published: (2023)

Local Existence for the 2D Euler Equations in a Critical Sobolev Space
by: Cozzi, Elaine, et al.
Published: (2024)

Well-Posedness of the Helmholtz Equation with Rough Coefficients
by: Li, Peijun, et al.
Published: (2026)

Global Well-Posedness of Classical Solutions to the Multi-Dimensional Degenerate Compressible Navier-Stokes Equations with Large Spherically Symmetric Initial Data
by: Lei, Qinghao
Published: (2026)

Ill-Posedness of the Incompressible Euler--Maxwell Equations in the Yudovich Class
by: Houamed, Haroune
Published: (2025)

Strichartz estimates and low regularity solutions of 3D relativistic Euler equations
by: Zhang, Huali
Published: (2024)

Compressible Gravity-Capillary Water Waves with Vorticity: Local Well-Posedness, Incompressible and Zero-Surface-Tension Limits
by: Luo, Chenyun, et al.
Published: (2022)

Well-Posedness of the Free Boundary Incompressible Porous Media Equation
by: Latocca, Mickaël, et al.
Published: (2025)

Well-Posedness of the Hodge Wave Equation on a Compact Manifold
by: Testa, Filippo
Published: (2025)

Euler Equations in Sobolev conormal spaces
by: Aydın, Mustafa Sencer, et al.
Published: (2024)

The Three-Dimensional Stochastic EMHD System: Local Well-Posedness and Maximal Pathwise Solutions
by: Hu, Ruimeng, et al.
Published: (2026)

Derivation and Well-Posedness Analysis of the Higher-Order Benjamin-Bona-Mahony Equation
by: Zeng, Jie
Published: (2025)

Well-Posedness and Finite Element Approximation for the Landau-Lifshitz-Gilbert Equation with Spin-Torques
by: Vinod, Noah, et al.
Published: (2024)

Well-Posedness and Numerical Approximation of a Class of Nonlocal Elliptic Equations with Gaussian Kernels
by: Covei, Dragos-Patru
Published: (2025)

Well-Posedness for Low Regularity Solutions to the g-SQG Equation with Regular Level Sets
by: Jeon, Junekey, et al.
Published: (2025)

On the Loss and Propagation of Modulus of Continuity for the Two-Dimensional Incompressible Euler Equations
by: Khalil, Karim R. Shikh
Published: (2024)

Well-Posedness of the generalised Dean-Kawasaki Equation with correlated noise on bounded domains
by: Popat, Shyam
Published: (2024)

A Study on the Well-Posedness of 1D Energy-Critical Half-Wave Maps Equations
by: Ohlmann, Gaspard
Published: (2023)

Global Well-Posedness for the Fourth-Order Nonlinear Schrödinger Equation with Potential in the Energy-Critical Case
by: Nakayama, Hikaru
Published: (2026)

Low-Regularity Local Well-Posedness for the Elastic Wave System
by: An, Xinliang, et al.
Published: (2024)

Local Well-Posedness of the Motion of Inviscid Liquid Crystals with a Free Surface Boundary
by: Luo, Chenyun, et al.
Published: (2025)

Strichartz Estimates and Small-Posedness Global Well-Posedness for the Periodic Quintic NLS in 1D
by: Skouloudis, Nikolaos, et al.
Published: (2026)

Well-Posedness of the Cauchy Problem for One-Dimensional Nonlinear Diffusion Equations with Dynamic and Fourth-Type Boundary Conditions in the Lp Lq Maximal Regularity Setting
by: Furukawa, Ken
Published: (2025)

Local Well-Posedness of a Modified NSCH-Oldroyd System: PINN-Based Numerical Computation
by: Kim, Woojeong
Published: (2026)

Well-Posedness for a Magnetohydrodynamical Model with Intrinsic Magnetisation
by: Vinod, Noah, et al.
Published: (2024)

Well-Posedness and Regularity of the Heat Equation with Robin Boundary Conditions in the Two-Dimensional Wedge
by: Bravin, Marco, et al.
Published: (2024)

Uniqueness of Transonic Shock Solutions for Two-Dimensional Steady Compressible Euler Flows in an Expanding Nozzle
by: Fang, Beixiang, et al.
Published: (2025)

An Eulerian-Lagrangian Formulation of the Compressible Euler Equations with Vacuum
by: Neves, Wladimir, et al.
Published: (2024)

Global Well-Posedness of Displacement Monotone Degenerate Mean Field Games Master Equations
by: Bansil, Mohit, et al.
Published: (2023)

Coexisting Automated and Human-Driven Vehicles: Well-Posedness of a Mixed Nonlocal-Local Traffic Model
by: Colombo, Rinaldo M., et al.
Published: (2025)

Well-Posedness and Approximation of Weak Solutions to Time Dependent Maxwell's Equations with $L^2$-Data
by: Antil, Harbir
Published: (2025)

Axisymmetric Incompressible Viscous Plasmas: Global Well-Posedness and Asymptotics
by: Arsénio, Diogo, et al.
Published: (2023)

Well-posedness for rough solutions of the 3D compressible Euler equations
by: Andersson, Lars, et al.
Published: (2022)

Well-Posedness of Second-Order Uniformly Elliptic PDEs with Neumann Conditions
by: Kono, Haruki
Published: (2024)

Low regularity solutions for the Cauchy problem of the ideal incompressible Magnetohydrodynamics equations
by: Zhang, Huali
Published: (2024)

Global Existence and Incompressible Limit for the Two-Dimensional Compressible Navier-Stokes Equations in a Half-Space with Large Initial Data and Vacuum
by: Lei, Qinghao, et al.
Published: (2026)