Results 91 to 100 of about 36,597 (202)
Local well posedness for modified Kadomstev-Petviashvili equations
Differential and Integral Equations, 2005 In this paper we consider the Kadomstev-Petivashvili equation and also the modified Kadomstev-Petviashvili equation, with nonlinearity $\partial_x(u^3).$ We improve on previous results of Iório and Nunes [5], and also on previous work of the authors, [13].
Kenig, C. E., Ziesler, S. N.
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Water Resources Research, Volume 62, Issue 3, March 2026.Abstract Assessing large‐scale pressurization at the regional scale—a possible outcome of large subsurface storage applications such as wastewater injection and geological carbon sequestration—presents significant computational challenges. These challenges are particularly pronounced when accounting for complex geologic structures with multiple ...
A. Cihan +7 more
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Hyperbolic Navier-Stokes equations I: Local well-posedness
Evolution Equations and Control Theory, 2012 We replace a Fourier type law by a Cattaneo type law in the derivation of the fundamental equations of fluid mechanics. This leads to hyperbolicly perturbed quasilinear Navier-Stokes equations. For this problem the standard approach by means of quasilinear symmetric hyperbolic systems seems to fail by the fact that finite propagation speed might
Jürgen Saal, Reinhard Racke
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Multichannel Wavefield Reconstruction With Physics‐Informed Neural Networks and Transfer Learning
Geophysical Prospecting, Volume 74, Issue 3, March 2026.ABSTRACT Multi‐component seismic data contain rich information essential for accurate subsurface imaging, but they are often sparse due to acquisition limitations and include noise. Robust interpolation techniques are therefore crucial to reconstruct missing traces and preserve wavefield integrity for reliable analysis and inversion. Thus, we propose a
Francesco Brandolin +2 more
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Numerical Study of a Nonlocal Nonlinear Schrödinger Equation (MMT Model)
Studies in Applied Mathematics, Volume 156, Issue 3, March 2026.ABSTRACT In this paper, we study a nonlocal nonlinear Schrödinger equation (MMT model). We investigate the effect of the nonlocal operator appearing in the nonlinearity on the long‐term behavior of solutions, and we identify the conditions under which the solutions of the Cauchy problem associated with this equation are bounded globally in time in the ...
Amin Esfahani, Gulcin M. Muslu
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Local Well-Posedness of Skew Mean Curvature Flow for Small Data in d ≥ 4 Dimensions. [PDF]
Commun Math Phys, 2022 Huang J, Tataru D.
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Adaptive blind image deblurring and denoising
Scandinavian Journal of Statistics, Volume 53, Issue 1, Page 413-441, March 2026.Abstract Blind image deblurring aims to reconstruct the original image from its blurred version without knowing the blurring mechanism. This is a challenging ill‐posed problem because there are infinitely many possible solutions. The ill‐posedness is further exacerbated if the blurring mechanism depends on the pixel location.
Yicheng Kang +2 more
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The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion. [PDF]
Arch Ration Mech Anal, 2022 Disconzi MM, Ifrim M, Tataru D.
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Local well-posedness of quasi-linear systems generalizing KdV
Communications on Pure and Applied Analysis, 2012 24 pages, to appear in ...
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International Journal for Numerical Methods in Engineering, Volume 127, Issue 4, 28 February 2026.ABSTRACT We investigate an optimization problem that arises when working within the paradigm of Data‐Driven Computational Mechanics. In the context of the diffusion‐reaction problem, such an optimization problem seeks the continuous primal fields (gradient and flux) that are closest to some predefined discrete fields taken from a material data set. The
Pedro B. Bazon +3 more
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