Results 71 to 80 of about 18,832,328 (177)
On the local well-posedness of Lovelock and Horndeski theories [PDF]
, 2017 We investigate local well-posedness of the initial value problem for Lovelock and Horndeski theories of gravity. A necessary condition for local well-posedness is strong hyperbolicity of the equations of motion.
Reall, Harvey Stephen, Papallo, Giuseppe
core +3 more sources
On the Boussinesq system: local well-posedness of the strong solution and inviscid limits
Boundary Value Problems, 2019 In this paper, we consider the solvability, regularity and vanishing viscosity limit of the 3D viscous Boussinesq equations with a Navier-slip boundary condition.
Lianhong Guo, Yuanfei Li, Chunjuan Hou
doaj +1 more source
Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson +2 more
wiley +1 more source
Geophysical Research Letters, Volume 53, Issue 19, 16 October 2026.Abstract Accurate representation of raindrop size distribution (DSD) is crucial for understanding precipitation microphysics and improving quantitative precipitation forecasting. Conventional methods in numerical models often prescribe the DSD shape parameter as a constant or derive it from empirical relationships based solely on disdrometer ...
Limin Lin +6 more
wiley +1 more source
Local Well-posedness of Nonlinear Dispersive Equations on Modulation Spaces [PDF]
, 2009 By using tools of time-frequency analysis, we obtain some improved local well-posedness results for the nonlinear Schrödinger, nonlinear wave and nonlinear Klein–Gordon equations with Cauchy data in modulation spaces ℳ0,sp ...
Okoudjou, Kasso A., Bényi, Árpád
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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.
europepmc +1 more source
A Unified Block‐Modal Framework for Inverse Source Problems in Heat and Mass Transfer
International Journal for Numerical Methods in Engineering, Volume 127, Issue 19, 15 October 2026.ABSTRACT This work presents a unified block–modal framework for inverse source identification in linear diffusive problems arising in heat and mass transfer. Starting from a general parabolic model with mixed boundary operators, the Classical Integral Transform Technique is employed to project the dynamics onto an orthonormal eigenbasis, yielding a ...
André J. P. de Oliveira +5 more
wiley +1 more source
, 2011 [[abstract]]In this paper, we study the well-posedness in the generalized sense for variational inclusion problems and variational disclusion problems, the well-posedness for optimization problems with variational inclusion problems, variational ...
Lin Lai-Jiu; Chih-Sheng Chuang
core
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.
europepmc +1 more source
Applied Research, Volume 5, Issue 5, October 2026.This study introduces a structurally cascaded physics‐informed graph neural network to model tumor microenvironments accurately. By enforcing a directional dependency from mechanical strain to biochemical secretion, the method eliminates unphysical artifacts and significantly improves predictive accuracy for precision healthcare applications.
Xinyuan Chen +2 more
wiley +1 more source