Results 21 to 30 of about 36,597 (202)

Local Well-posedness for Gross-Pitaevskii Hierarchies [PDF]

Acta Analysis Functionalis Applicata, 2013
16 pages.
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Real Analytic Local Well‐Posedness for the Triple Deck [PDF]

Communications on Pure and Applied Mathematics, 2020
AbstractThe triple‐deck model is a classical high‐order boundary layer model that has been proposed to describe flow regimes where the Prandtl theory is expected to fail. At first sight the model appears to lose two derivatives through the pressure‐displacement relation that links pressure to the tangential slip. In order to overcome this, we split the
Iyer, Sameer, Vicol, Vlad
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On the Study of Local Solutions for a Generalized Camassa-Holm Equation

Abstract and Applied Analysis, 2012
The pseudoparabolic regularization technique is employed to study the local well-posedness of strong solutions for a nonlinear dispersive model, which includes the famous Camassa-Holm equation. The local well-posedness is established in the Sobolev space
Meng Wu
doaj   +1 more source

A Non-Local Non-Homogeneous Fractional Timoshenko System with Frictional and Viscoelastic Damping Terms

Axioms, 2023
We are devoted to the study of a non-local non-homogeneous time fractional Timoshenko system with frictional and viscoelastic damping terms. We are concerned with the well-posedness of the given problem.
Said Mesloub, Eman Alhazzani, Gadain Hassan Eltayeb   +2 more
doaj   +1 more source

Local Well-Posedness of Musiela's SPDE with Lévy Noise [PDF]

SSRN Electronic Journal, 2007
Final ...
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Global well-posedness of the short-pulse and sine-Gordon equations in energy space

, 2010
We prove global well-posedness of the short-pulse equation with small initial data in Sobolev space $H^2$. Our analysis relies on local well-posedness results of Sch\"afer & Wayne, the correspondence of the short-pulse equation to the sine-Gordon ...
Ablowitz M.J., Anton Sakovich, Dmitry Pelinovsky, Grafakos L., Sakovich A., Zeidler E.   +5 more
core   +1 more source

On the well-posedness for the Ideal MHD equations in the Triebel-Lizorkin spaces

, 2009
In this paper, we prove the local well-posedness for the Ideal MHD equations in the Triebel-Lizorkin spaces and obtain blow-up criterion of smooth solutions.
C. Fefferman, Changxing Miao, D. Chae, D. Chae, E.M. Stein, F. Planchon, J. Bergh, J. Wu, J. Wu, J. Wu, J. Wu, J.-M. Bony, J.-Y. Chemin, J.-Y. Chemin, J.T. Beale, M. Cannone, M. Frazier, Q. Chen, Qionglei Chen, R.E. Caflisch, T. Kato, Y. Meyer, Z. Zhang, Zhifei Zhang   +23 more
core   +1 more source

Local well-posedness of the mortensen observer

ESAIM: Control, Optimisation and Calculus of Variations
The analytical background of nonlinear observers based on minimal energy estimation is discussed. It is shown that locally the derivation of the observer equation based on a trajectory with pointwise minimal energy can be done rigorously. The result is obtained by a local sensitivity analysis of the value function based on Pontryagin’s maximum ...
Breiten, T., Schröder, J.
openaire   +3 more sources

Local Well-Posedness of Periodic Fifth-Order KdV-Type Equations [PDF]

The Journal of Geometric Analysis, 2013
In this paper, the local well-posedness of periodic fifth order dispersive equation with nonlinear term $P_1(u)\p_xu + P_2(u)\p_x u\p_xu $. Here $P_1(u)$ and $P_2(u)$ are polynomials of $u$. We also get some new Strichartz estimates.
Hu, Yi, Li, Xiaochun
openaire   +4 more sources

Almost optimal local well-posedness for modified Boussinesq equations

Electronic Journal of Differential Equations, 2020
In this article, we investigate a class of modified Boussinesq equations, for which we provide first an alternate proof of local well-posedness in the space $(H^s\cap L^\infty)\times (H^s\cap L^\infty)(\mathbb{R})$ ($s\geq 0$) to the one obtained by
Dan-Andrei Geba, Bai Lin
doaj