Results 41 to 50 of about 15,258,586 (276)
On well‐posedness of nonlinear conjugation boundary value problem for analytic functions
Mathematical Modelling and Analysis, 2000 We consider power type nonlinear conjugation problem for analytic functions. Our main question is to make this problem well‐posed, i.e. to find such classes of functions in which this problem possesses a unique solution.
S. V. Rogosin
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On Singular Vortex Patches, I: Well-posedness Issues [PDF]
Memoirs of the American Mathematical Society, 2019 The purpose of this work is to discuss the well-posedness theory of singular vortex patches. Our main results are of two types: well-posedness and ill-posedness.
T. Elgindi, In-Jee Jeong
semanticscholar +1 more source
α-Well-Posedness for Quasivariational Inequality Problems
Abstract and Applied Analysis, 2012 We introduce and study the concepts of α-well-posedness and L-α-well-posedness for quasivariational inequality problems having a unique solution and the concepts of α-well-posedness in the generalized sense and L-α-well-posedness in the generalized ...
Jian Wen Peng, Jing Tang
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Global well posedness for the semilinear edge-degenerate parabolic equations on singular manifolds
Advances in Nonlinear Analysis, 2023 In this article, we study the long-time dynamical behavior of the solution for a class of semilinear edge-degenerate parabolic equations on manifolds with edge singularities. By introducing a family of potential well and compactness method, we reveal the
Chen Yuxuan
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The Canadian Journal of Chemical Engineering, EarlyView.Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
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A priori bounds for the generalised parabolic Anderson model
Communications on Pure and Applied Mathematics, EarlyView.Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra +2 more
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Well-posedness viaMonotonicity – an Overview [PDF]
, 2015 Thoroughly revised version.
Picard, Rainer +2 more
openaire +2 more sources
International Journal for Numerical Methods in Fluids, EarlyView.This study investigates the impact of uncertain parameters on Navier–Stokes equations coupled with heat transfer using the Intrusive Polynomial Chaos Method (IPCM). Sensitivity equations are formulated for key input parameters, such as viscosity and thermal diffusivity, and solved numerically using the Finite Element‐Volume method.
N. Nouaime +3 more
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Pupil Plane Multiplexing for Vectorial Fourier Ptychography
Laser &Photonics Reviews, EarlyView.This study proposes a cost‐effective, modality‐adaptive multichannel microscopy framework using pupil‐plane multiplexing. A custom pupil aperture at the Fourier plane encodes channel‐specific transfer functions with spectral or polarization filters, and model‐based reconstruction with channel‐dependent priors decodes them.
Hyesuk Chae +5 more
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Well-posedness for the Cauchy Problem of the Modified Zakharov-Kuznetsov Equation [PDF]
Funkcialaj Ekvacioj, 2019 This paper is concerned with the Cauchy problem of the modified Zakharov-Kuznetsov equation on $\mathbb{R}^d$. If $d=2$, we prove the sharp estimate which implies local in time well-posedness in the Sobolev space $H^s(\mathbb{R}^2)$ for $s \geq 1/4$. If $
S. Kinoshita
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