EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Displaying 1201 – 1220 of 3677

Global well-posedness and blow up for the nonlinear fractional beam equations

Shouquan Ma, Guixiang Xu (2010)

Applicationes Mathematicae

We establish the Strichartz estimates for the linear fractional beam equations in Besov spaces. Using these estimates, we obtain global well-posedness for the subcritical and critical defocusing fractional beam equations. Of course, we need to assume small initial data for the critical case. In addition, by the convexity method, we show that blow up occurs for the focusing fractional beam equations with negative energy.

Global well-posedness and scattering for the defocusing $H^{\frac{1}{2}}$ -subcritical Hartree equation in $R^{d}$

Changxing Miao, Guixiang Xu, Lifeng Zhao (2009)

Annales de l'I.H.P. Analyse non linéaire

Global well-posedness and scattering for the derivative nonlinear Schrödinger equation with small rough data

Baoxiang Wang, Lijia Han, Chunyan Huang (2009)

Annales de l'I.H.P. Analyse non linéaire

Global well-posedness and scattering for the higher-dimensional energy-critical nonlinear Schrödinger equation for radial data.

Tao, Terence (2005)

The New York Journal of Mathematics [electronic only]

Global well-posedness for KdV in Sobolev spaces of negative index.

Colliander, James E., Keel, Markus, Staffilani, Gigliola, Takaoka, Hideo, Tao, Terence C. (2001)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Global well-posedness for Schrödinger equations with derivative in a nonlinear term and data in low-order Sobolev spaces.

Takaoka, Hideo (2001)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Global well-posedness for the 2-D Boussinesq system with temperature-dependent thermal diffusivity

Qionglei Chen, Liya Jiang (2014)

Colloquium Mathematicae

We prove the global well-posedness of the 2-D Boussinesq system with temperature dependent thermal diffusivity and zero viscosity coefficient.

Global well-posedness for the 2D quasi-geostrophic equation in a critical Besov space.

Stefanov, Atanas (2007)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Global well-posedness for the Klein-Gordon-Schrödinger system with higher order coupling

Agus Leonardi Soenjaya (2022)

Mathematica Bohemica

Global well-posedness for the Klein-Gordon-Schrödinger system with generalized higher order coupling, which is a system of PDEs in two variables arising from quantum physics, is proven. It is shown that the system is globally well-posed in $(u, n) \in L^{2} \times L^{2}$ under some conditions on the nonlinearity (the coupling term), by using the $L^{2}$ conservation law for $u$ and controlling the growth of $n$ via the estimates in the local theory. In particular, this extends the well-posedness results for such a system in Miao, Xu (2007)...

Global well-posedness for the primitive equations with less regular initial data

Frédéric Charve (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

This paper is devoted to the study of the lifespan of the solutions of the primitive equations for less regular initial data. We interpolate the globall well-posedness results for small initial data in ${\dot{H}}^{\frac{1}{2}}$ given by the Fujita-Kato theorem, and the result from [6] which gives global well-posedness if the Rossby parameter $ε$ is small enough, and for regular initial data (oscillating part in ${\dot{H}}^{\frac{1}{2}} \cap {\dot{H}}^{1}$ and quasigeostrophic part in $H^{1}$ ).

Global well-posedness for the radial defocusing cubic wave equation on $ℝ^{3}$ and for rough data.

Roy, Tristan (2007)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Global well-posedness of NLS-KdV systems for periodic functions.

Matheus, Carlos (2007)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Global well-posedness of the Cauchy problem of a higher-order Schrödinger equation.

Wang, Hua (2007)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Global well-posedness of the initial value problem for the Hirota-Satsuma system.

Xueshang Feng (1994)

Manuscripta mathematica

Global well-posedness, scattering and blow-up for the energy-critical, focusing Hartree equation in the radial case

Changxing Miao, Guixiang Xu, Lifeng Zhao (2009)

Colloquium Mathematicae

We establish global existence and scattering for radial solutions to the energy-critical focusing Hartree equation with energy and Ḣ¹ norm less than those of the ground state in $ℝ \times ℝ^{d}$ , d ≥ 5.

Global φ-attractor for a modified 3D Bénard system on channel-like domains

O.V. Kapustyan, A.V. Pankov (2014)

Nonautonomous Dynamical Systems

In this paper we prove the existence of a global φ-attractor in the weak topology of the natural phase space for the family of multi-valued processes generated by solutions of a nonautonomous modified 3D Bénard system in unbounded domains for which Poincaré inequality takes place.

Globalization of SQP-methods in control of the instationary Navier-Stokes equations

Michael Hintermüller, Michael Hinze (2002)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

A numerically inexpensive globalization strategy of sequential quadratic programming methods (SQP-methods) for control of the instationary Navier Stokes equations is investigated. Based on the proper functional analytic setting a convergence analysis for the globalized method is given. It is argued that the a priori formidable SQP-step can be decomposed into linear primal and linear adjoint systems, which is amenable for existing CFL-software. A report on a numerical test demonstrates the feasibility...

Globalization of SQP-Methods in Control of the Instationary Navier-Stokes Equations

Michael Hintermüller, Michael Hinze (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

Gradient Estimates and Mean Curvatures.

Neil S. Trudinger (1973)

Mathematische Zeitschrift

Gravimetric quasigeoid in Slovakia by the finite element method

Zuzana Fašková, Karol Mikula, Róbert Čunderlík, Juraj Janák, Michal Šprlák (2007)

Kybernetika

The paper presents the solution to the geodetic boundary value problem by the finite element method in area of Slovak Republic. Generally, we have made two numerical experiments. In the first one, Neumann BC in the form of gravity disturbances generated from EGM-96 is used and the solution is verified by the quasigeoidal heights generated directly from EGM-96. In the second one, Neumann BC is computed from gravity measurements and the solution is compared to the quasigeoidal heights obtained by...

Currently displaying 1201 – 1220 of 3677

Previous Page 61 Next