Results 81 to 90 of about 676,988 (164)

Ill-posedness for a system of quadratic nonlinear Schrödinger equations in two dimensions [PDF]

, 2016
This paper concerns the ill-posedness issue for a system of quadratic nonlinear Schrödinger equations in two dimensions. From previous studies for the large time behavior of the solution to the system, one may expect that the critical regularity to show ...
Iwabuchi, Tsukasa, Uriya, Kota, Ogawa, Takayoshi   +2 more
core   +1 more source

Ill-posedness in continuous linear optimization via partitions of the space of parameters [PDF]

, 2007
In this paper we consider the parameter space of continuous linear optimization problems with a given decision space and a given index set. We consider different partitions of this space, on the basis of the primal, the dual, and the primal-dual status ...
Goberna, Miguel A., Todorov, Maxim I.
core   +1 more source

The Cauchy Problem for a Fifth-Order Dispersive Equation

Abstract and Applied Analysis, 2014
This paper is devoted to studying the Cauchy problem for a fifth-order equation. We prove that it is locally well-posed for the initial data in the Sobolev space Hs(R) with s≥1/4.
Hongjun Wang, Yongqi Liu, Yongqiang Chen
doaj   +1 more source

Semi-Idealized Study on Estimation of Partly and Fully Space Varying Open Boundary Conditions for Tidal Models

Abstract and Applied Analysis, 2013
Two strategies for estimating open boundary conditions (OBCs) with adjoint method are compared by carrying out semi-idealized numerical experiments.
Jicai Zhang, Haibo Chen
doaj   +1 more source

Ill-posedness for the Navier-Stokes and Euler equations in Besov spaces

summary:We construct a new initial data to prove the ill-posedness of both Navier-Stokes and Euler equations in weaker Besov spaces in the sense that the solution maps to these equations starting from $u_0$ are discontinuous at $t = 0$
Yu, Yanghai, Liu, Fang
core   +1 more source

Dean-Kawasaki dynamics: ill-posedness vs. triviality

, 2019
Konarovskyi V, Lehmann T, von Renesse M-K. Dean-Kawasaki dynamics: ill-posedness vs. triviality. Electronic Communications in Probability. 2019;24: 8.We prove that the Dean-Kawasaki SPDE admits a solution only in integer parameter regimes, in which case ...
Konarovskyi, Vitalii, Lehmann, Tobias, von Renesse, Max-K.   +2 more
core   +1 more source

Learning on the correctness class for domain inverse problems of gravimetry

Machine Learning: Science and Technology
We consider end-to-end learning approaches for inverse problems of gravimetry. Due to ill-posedness of the inverse gravimetry, the reliability of learning approaches is questionable.
Yihang Chen, Wenbin Li
doaj   +1 more source

An ATpV Regularization Pre-Stack Three-Parameter Inversion Method Based on Weighted Lp

IEEE Access
Accurate inversion of AVO tri-parameters (Vp, Vs, $\rho $ ) is critical for reservoir characterization and hydrocarbon exploration. Conventional pre-stack inversion methods often have ill-posedness and poor stratigraphic boundary preservation, and ...
Shuang Zhao, Xuanlin Kong, Hongjuan Fan, Yabo Wu, Weixing Guo   +4 more
doaj   +1 more source

On the ill-posedness of the 5th-order Gardner equation

, 2019
We present ill-posedness results for the initial value problem of the 5th-order Gardner equation. We use new breather solutions discovered for this higher order Gardner equation to measure the regularity of the Cauchy problem in Sobolev spaces .
Alejo Plana, Miguel Ángel, Cardoso, Eleomar   +1 more
core   +1 more source

Ill-posedness for Kelvin-Helmholtz problems of compressible Euler fluids with a radiation field

Electronic Journal of Differential Equations
We prove the nonlinear ill-posedness of Kelvin-Helmholtz problems for compressible Euler fluids with a radiation field. For this we assume that the magnitude of the Mach number is between some small enough constant $\epsilon_0$ and $\sqrt{2(1+\ell)}$ in
Jiakai Ma, Binqiang Xie
doaj