Results 11 to 20 of about 59,515 (231)
On Unconditional Well-Posedness of Modified KdV [PDF]
International Mathematics Research Notices, 2011 Bourgain(1993) proved that the periodic modified KdV equation (mKdV) is locally well-posed in Sobolev spave H^s(T), s >= 1/2, by introducing new weighted Sobolev spaces X^s,b, where the uniqueness holds conditionally, namely in the intersection of C([0, T]; H^s) and X^s,b. In this paper, we establish unconditional well-posedness of mKdV in H^s(T), s
Kwon, S Kwon, Soonsik +1 more
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On the well-posedness of Galbrun's equation
Journal de Mathématiques Pures et Appliquées, 2021 Compared to the previous version some typos have been corrected and minor cosmetic changes have been ...
Hägg, Linus, Berggren, Martin
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Well posedness of magnetohydrodynamic equations in 3D mixed-norm Lebesgue space
Open Mathematics, 2022 In this paper, we introduce a new metric space called the mixed-norm Lebesgue space, which allows its norm decay to zero with different rates as ∣x∣→∞| x| \to \infty in different spatial directions.
Liu Yongfang, Zhu Chaosheng
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Well-posedness for Hall-magnetohydrodynamics [PDF]
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2014 We prove local existence of smooth solutions for large data and global smooth solutions for small data to the incompressible, resistive, viscous or inviscid Hall-MHD model. We also show a Liouville theorem for the stationary solutions.
Chae, Dongho +2 more
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On the Well-Posedness of the Kirchhoff String [PDF]
Transactions of the American Mathematical Society, 1996 Let us consider the Cauchy problem for the quasilinear hyperbolic integro-differential equation u t t − m ( ∫
AROSIO, Alberto Giorgio +1 more
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Evolutionary dynamics on a regular networked structured and unstructured multi‐population
International Journal of Robust and Nonlinear Control, EarlyView., 2023 Abstract In this paper, we study collective decision‐making in a multi‐population framework, where groups of individuals represent whole populations that interact by means of a regular network. Each group consists of a number of players and every player can choose between two options.
Wouter Baar +2 more
wiley +1 more source
On a Thermoelastic Laminated Timoshenko Beam: Well Posedness and Stability
Complexity, 2020 In this paper, we are concerned with a linear thermoelastic laminated Timoshenko beam, where the heat conduction is given by Cattaneo’s law. We firstly prove the global well posedness of the system.
Baowei Feng
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Variable depth KDV equations and generalizations to more nonlinear regimes [PDF]
, 2008 We study here the water-waves problem for uneven bottoms in a highly nonlinear regime where the small amplitude assumption of the Korteweg-de Vries (KdV) equation is enforced.
Alvarez-Samaniego +28 more
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Global Well Posedness for the Thermally Radiative Magnetohydrodynamic Equations in 3D
Journal of Function Spaces, 2020 In this paper, we study the thermally radiative magnetohydrodynamic equations in 3D, which describe the dynamical behaviors of magnetized fluids that have nonignorable energy and momentum exchange with radiation under the nonlocal thermal equilibrium ...
Peng Jiang, Fei Yu
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Well-Posedness of Triequilibrium-Like Problems
International Journal of Analysis and Applications, 2022 This work emphasizes in presenting new class of equilibrium-like problems, termed as equilibrium-like problems with trifunction. We establish some metric characterizations for the well-posed triequilibrium-like problems.
Misbah Iram Bloach +2 more
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