Results 111 to 120 of about 36,597 (202)

The Robin Problems in the Coupled System of Wave Equations on a Half-Line

Axioms
This article investigates the local well-posedness of a coupled system of wave equations on a half-line, with a particular emphasis on Robin boundary conditions within Sobolev spaces.
Po-Chun Huang, Bo-Yu Pan
doaj   +1 more source

On the local existence and blow-up solutions to a quasi-linear bi-hyperbolic equation with dynamic boundary conditions

Partial Differential Equations in Applied Mathematics
This note aims to study the existence of the local solutions and derive a blow-up result for a quasi-linear bi-hyperbolic equation with dynamic boundary conditions.
Begüm Çalışkan Desova, Mustafa Polat
doaj   +1 more source

Local well-posedness of the incompressible current-vortex sheet problems

Advances in Mathematics
We prove the local well-posedness of the incompressible current-vortex sheet problems in standard Sobolev spaces under the surface tension or the Syrovatskij condition, which shows that both capillary forces and large tangential magnetic fields can stabilize the motion of current-vortex sheets.
Liu, Sicheng, Xin, Zhouping
openaire   +2 more sources

Diophantine conditions in global well-posedness for coupled KdV-type systems

Electronic Journal of Differential Equations, 2009
We consider the global well-posedness problem of a one-parameter family of coupled KdV-type systems both in the periodic and non-periodic setting. When the coupling parameter $alpha = 1$, we prove the global well-posedness in $H^s(mathbb{R}) $ for $s >
Tadahiro Oh
doaj  

Low regularity well-posedness for the one-dimensional Dirac-Klein-Gordon system

Electronic Journal of Differential Equations, 2006
Local well-posedness for Dirac-Klein-Gordon equations is proven in one space dimension, where the Dirac part belongs to $H^{-frac{1}{4}+epsilon}$ and the Klein-Gordon part to $H^{frac{1}{4}-epsilon}$ for 0 less than epsilon less than 1/4, and global ...
Hartmut Pecher
doaj  

Low regularity solutions of the Chern-Simons-Higgs equations in the Lorentz gauge

Electronic Journal of Differential Equations, 2009
We prove local well-posedness for the 2+1-dimensional Chern-Simons-Higgs equations in the Lorentz gauge with initial data of low regularity. Our result improves earlier results by Huh [10, 11].
Nikolaos Bournaveas
doaj  

Local and global solvability of fractional porous medium equations in critical Besov-Morrey spaces

Electronic Journal of Differential Equations
In this article we study fractional porous medium equations in Besov-Morrey spaces. Using the Littlewood-Paley theory and the smoothing effect of the heat semi-group, we obtain local well-posedness of this model.
Ahmed El Idrissi, Halima Srhiri, Brahim Boukari, Jalila El Ghordaf   +3 more
doaj  

Local and global well-posedness of the Maxwell-Bloch system of equations with inhomogeneous broadening

Advances in Nonlinear Analysis
The Maxwell-Bloch system of equations with inhomogeneous broadening is studied, and the local and global well-posedness of the corresponding initial-boundary value problem is established by taking advantage of the integrability of the system and making ...
Biondini Gino, Prinari Barbara, Zhang Zechuan   +2 more
doaj   +1 more source

Local well-posedness of the periodic nonlinear Schrödinger equation with a quadratic nonlinearity ū2 in negative Sobolev spaces

, 2023
Liu R.
europepmc   +1 more source

On the local well-posedness of a Benjamin-Ono-Boussinesq system

International Journal of Mathematics and Mathematical Sciences, 2005
Ruying Xue
doaj   +1 more source