A Refined Well-Posedness Result for the Modified KdV Equation in the Fourier-Lebesgue Spaces. [PDF]
J Dyn Differ Equ, 2023 Chapouto A.
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Well-posedness of the 3D Peskin problem
Mathematical Models and Methods in Applied SciencesThis paper introduces the 3D Peskin problem: a two-dimensional elastic membrane immersed in a three-dimensional steady Stokes flow. We obtain the equations that model this free boundary problem and show that they admit a boundary integral reduction, providing an evolution equation for the elastic interface.
Eduardo García-Juárez +3 more
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New Results on Gevrey Well Posedness for the Schrödinger–Korteweg–De Vries System
Mathematical and Computational ApplicationsIn this work, we prove that the initial value problem for the Schrödinger–Korteweg–de Vries (SKdV) system is locally well posed in Gevrey spaces for s>−34 and k≥0. This advancement extends recent findings regarding the well posedness of this model within
Feriel Boudersa +2 more
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The Microscopic Derivation and Well-Posedness of the Stochastic Keller-Segel Equation. [PDF]
J Nonlinear Sci, 2021 Huang H, Qiu J.
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Weak Well-Posedness of Multidimensional Stable Driven SDEs in the Critical Case
, 2020 Paul-Éric Chaudru de Raynal +2 more
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Well-posedness of one-dimensional Korteweg models
Electronic Journal of Differential Equations, 2006 We investigate the initial-value problem for one-dimensional compressible fluids endowed with internal capillarity. We focus on the isothermal inviscid case with variable capillarity.
Sylvie Benzoni-Gavage +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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On the Well-posedness of a Class of Non-Autonomous SPDEs: An\n Operator-Theoretical Perspective [PDF]
, 2018 Rainer Picard +2 more
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Energy Estimates and Global Well-posedness for a Broad Class of Strictly Hyperbolic Cauchy Problems with Coefficients Singular in Time [PDF]
, 2021 Rahul Raju Pattar, N. Uday Kiran
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Well-posedness for parametric strong vector quasi-equilibrium problems with applications
Fixed Point Theory and Applications, 2011 In this article, we generalize the concept of well-posedness to the parametric strong vector quasi-equilibrium problem. Under some suitable conditions, we establish some characterizations of well-posedness for parametric strong vector quasi-equilibrium ...
Wang San-hua, Li Qiu-ying
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