Results 71 to 80 of about 14,824,467 (223)
On classical solutions and canonical transformations for Hamilton–Jacobi–Bellman equations
Bulletin of the London Mathematical Society, EarlyView.Abstract In this note, we show how canonical transformations reveal hidden convexity properties for deterministic optimal control problems, which in turn result in global existence of Cloc1,1$C^{1,1}_{loc}$ solutions to first‐order Hamilton–Jacobi–Bellman equations.
Mohit Bansil, Alpár R. Mészáros
wiley +1 more source
Well-Posedness by Perturbations of Generalized Mixed Variational Inequalities in Banach Spaces
Journal of Applied Mathematics, 2012 We consider an extension of the notion of well-posedness by perturbations, introduced by Zolezzi (1995, 1996) for a minimization problem, to a class of generalized mixed variational inequalities in Banach spaces, which includes as a special case the ...
Lu-Chuan Ceng, Ching-Feng Wen
doaj +1 more source
Well-Posedness of History-Dependent Sweeping Processes
SIAM Journal on Mathematical Analysis, 2019 This paper is devoted to the study of a class of sweeping processes with history-dependent operators.
S. Migórski, M. Sofonea, Shengda Zeng
semanticscholar +1 more source
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
wiley +1 more source
Well-posedness of KdV type equations
Electronic Journal of Differential Equations, 2012 In this work, we study the initial value problems associated to some linear perturbations of KdV equations. Our focus is in the well-posedness issues for initial data given in the L^2-based Sobolev spaces.
Xavier Carvajal, Mahendra Panthee
doaj
Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1609-1655, September 2025.Abstract The problem of deriving a gradient flow structure for the porous medium equation which is thermodynamic, in that it arises from the large deviations of some microscopic particle system is studied. To this end, a rescaled zero‐range process with jump rate g(k)=kα,α>1$g(k)=k^\alpha, \alpha >1$ is considered, and its hydrodynamic limit and ...
Benjamin Gess, Daniel Heydecker
wiley +1 more source
Coherence of Coupling Conditions for the Isothermal Euler System
Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 11565-11591, August 2025.ABSTRACT We consider an isothermal flow through two pipes. At the junction, the flow is possibly modified by some devices, such as valves, compressors, and so on, or by the geometry of the junction; coupling conditions between the traces of the flow must be given.
Andrea Corli +2 more
wiley +1 more source
Well‐posedness and asymptotic stability to a laminated beam in thermoelasticity of type III
Mathematical methods in the applied sciences, 2019 This paper is concerned with the well‐posedness and asymptotic behaviour of solutions to a laminated beam in thermoelasticity of type III. We first obtain the well‐posedness of the system by using semigroup method.
Wenjun Liu, Yu Luan, Yadong Liu, Gang Li
semanticscholar +1 more source
Existence of Normalized Solutions of a Hartree–Fock System With Mass Subcritical Growth
Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12309-12319, August 2025.ABSTRACT In this paper, we are concerned with normalized solutions of a class of Hartree‐Fock type systems. By seeking the constrained global minimizers of the corresponding functional, we prove that the existence and nonexistence of normalized solutions.
Hua Jin +3 more
wiley +1 more source
Local well‐posedness of the Hall‐MHD system in Hs(Rn) with s>n2
Mathematische Nachrichten, 2019 We establish local well‐posedness of the Hall‐magneto‐hydrodynamics (Hall‐MHD) system in the Sobolev space (Hs(Rn))2 with s>n2 , n≥2 . The previously known local well‐posedness Sobolev space was (Hs(Rn))2 with s>n2+1 .
Mimi Dai
semanticscholar +1 more source