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| 1 | Incremental unknowns for solving partial differential equations显示文摘 | Min Chen Roger Temam | 1991 | Numerische Mathematik1991，，1： | 1 |
| 2 | Incremental unknowns for solving partial differential equations显示文摘 | Min Chen Roger Temam | 1991 | Numerische Mathematik1991，，1： | 1 |
| 3 | Inertial manifolds and multigrid methods 显示文摘 | TEMAM Roger | 1990 | J Math Anal1990，21，： | 1 |
| 4 | A co-area formula with applications to monotone rearrangement and to regularity显示文摘 | Jean Michel Rakotoson Roger Temam | 1990 | Archive for Rational Mechanics and Analysis1990，，3： | 1 |
| 5 | Incremental unknowns for solving partial differential equations显示文摘 | Min Chen Roger Temam | 1991 | Numerische Mathematik1991，，1： | 1 |
| 6 | Boundary Conditions for Limited Area Models Based on the Shallow Water Equations显示文摘A new set of boundary conditions has been derived by rigorousmethods for the shallow water equations in a limited domain.The aim of this article is to present these boundary conditions and to report on numerical simulations which have been performed using these boundary conditions.The new boundary conditions which are mildly dissipative let the waves move freely inside and outside the domain.The problems considered include a one-dimensional shallow water system with two layers of fluids and a two-dimensional inviscid shallow water system in a rectangle. | Arthur Bousquet Madalina Petcu Ming-Cheng Shiue Roger Temam Joseph Tribbia | 2013 | Communications in Computational Physics2013，14，8： | 1 |
| 7 | Localization and approximation of attractors for the Ginzburg-Landau equation显示文摘 | Keith Promislow Roger Temam | 1991 | Journal of Dynamics and Differential Equations1991，，4： | 1 |
| 8 | Robust control the Ku-ramoto-Sivashinsky equation显示文摘 | HU Chang-bing ROGER Temam | 2001 | Dynamics of Continuous Discrete and Impulsive Systems Series B:Application & Algorithms2001，8，： | 1 |
| 9 | Infinite Dimensional Dynamical Systems in Mechanics and Physics显示文摘 | | 1988 | Springer - Vedag1988，，： | 1 |
| 10 | 3D shear flows driven by Lévy noise at the boundary显示文摘This paper is concerned with the stochastic incompressible Navier–Stokes equations in a layer of fluid between two flat no-slip boundaries.The fluid is driven by the noisy movement of the bottom boundary,where the noise is given by a Lévy process.After establishing existence of a martingale solution,we use the background flow method to derive an upper bound on the turbulent energy dissipation rate.Our estimate recovers one of the basic scaling ideas of turbulence theory,namely,that the dissipation rate is independent of the viscosity at high Reynolds number. | Wai-tong(Louis)Fan Ali Pakzad Krutika Tawri Roger Temam | 2023 | Probability, Uncertainty and Quantitative Risk2023，8，1： | 0 |
| 11 | Mathematical Analysis of the Jin-Neelin Model of El Niño-Southern-Oscillation显示文摘The Jin-Neelin model for the El Nio–Southern Oscillation(ENSO for short) is considered for which the authors establish existence and uniqueness of global solutions in time over an unbounded channel domain. The result is proved for initial data and forcing that are sufficiently small. The smallness conditions involve in particular key physical parameters of the model such as those that control the travel time of the equatorial waves and the strength of feedback due to vertical-shear currents and upwelling; central mechanisms in ENSO dynamics.From the mathematical view point, the system appears as the coupling of a linear shallow water system and a nonlinear heat equation. Because of the very different nature of the two components of the system, the authors find it convenient to prove the existence of solution by semi-discretization in time and utilization of a fractional step scheme. The main idea consists of handling the coupling between the oceanic and temperature components by dividing the time interval into small sub-intervals of length k and on each sub-interval to solve successively the oceanic component, using the temperature T calculated on the previous sub-interval, to then solve the sea-surface temperature(SST for short) equation on the current sub-interval. The passage to the limit as k tends to zero is ensured via a priori estimates derived under the aforementioned smallness conditions. | Yining CAO Mickaёl D.CHEKROUN Aimin HUANG Roger TEMAM | 2019 | Chinese Annals of Mathematics,Series B2019，40，1： | 0 |
| 12 | Finite Volume Multilevel Approximation of the Shallow Water Equations显示文摘The authors consider a simple transport equation in one-dimensional space and the linearized shallow water equations in two-dimensional space, and describe and implement a multilevel finite-volume discretization in the context of the utilization of the incremental unknowns. The numerical stability of the method is proved in both cases. | Arthur BOUSQUET Martine MARION Roger TEMAM | 2013 | Chinese Annals of Mathematics,Series B2013，34，1： | 0 |
| 13 | Time Discrete Approximation of Weak Solutions to Stochastic Equations of Geophysical Fluid Dynamics and Applications(Dedicated to Haim Brézis on the occasion of his 70th birthday)显示文摘As a first step towards the numerical analysis of the stochastic primitive equations of the atmosphere and the oceans, the time discretization of these equations by an implicit Euler scheme is studied. From the deterministic point of view, the 3D primitive equations are studied in their full form on a general domain and with physically realistic boundary conditions. From the probabilistic viewpoint, this paper deals with a wide class of nonlinear, state dependent, white noise forcings which may be interpreted in either the Itor the Stratonovich sense. The proof of convergence of the Euler scheme,which is carried out within an abstract framework, covers the equations for the oceans, the atmosphere, the coupled oceanic-atmospheric system as well as other related geophysical equations. The authors obtain the existence of solutions which are weak in both the PDE and probabilistic sense, a result which is new by itself to the best of our knowledge. | Nathan GLATT-HOLTZ Roger TEMAM Chuntian WANG | 2017 | Chinese Annals of Mathematics,Series B2017，38，2： | 0 |
| 14 | Numerical Resolution Near t=0 of Nonlinear Evolution Equations in the Presence of Corner Singularities in Space Dimension 1显示文摘The incompatibilities between the initial and boundary data will cause singularities at the time-space corners,which in turn adversely affect the accuracy of the numerical schemes used to compute the solutions.We study the corner singularity issue for nonlinear evolution equations in 1D,and propose two remedy procedures that effectively recover much of the accuracy of the numerical scheme in use.Applications of the remedy procedures to the 1D viscous Burgers equation,and to the 1D nonlinear reaction-diffusion equation are presented.The remedy procedures are applicable to other nonlinear diffusion equations as well. | Qingshan Chen Zhen Qin Roger Temam | 2011 | Communications in Computational Physics2011，9，3： | 0 |
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