Local well-posedness for density-dependent incompressible Euler equations [PDF]
Electronic Journal of Differential Equations, 2013 In this article, we establish the local well-posedness for density-dependent incompressible Euler equations in critical Besov spaces.
Zhiqiang Wei
doaj +2 more sources
Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, I: well-posedness [PDF]
, 2018 In this paper we analyse the well-posedness of the Cauchy problem for a rather general class of hyperbolic systems with space-time dependent coefficients and with multiple characteristics of variable multiplicity.
Christian Jah (7161323) +2 more
core +9 more sources
Local and global well-posedness for nonlinear Dirac type equations [PDF]
, 2012 We investigate the local and global well-posedness of a variety of nonlinear Dirac type equations with null structure on R1+1. In particular, we prove global existence in L2 for a nonlinear Dirac equation known as the Thirring model. Local existence in
Candy, Timothy Lars
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Local Well-Posedness of Strong Solutions to the Three-Dimensional Compressible Primitive Equations [PDF]
, 2021 This work is devoted to establishing the local-in-time well-posedness of strong solutions to the three-dimensional compressible primitive equations of atmospheric dynamics.
Titi, Edriss S +2 more
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Well-posedness of a model for water waves with viscosity [PDF]
, 2012 The water wave equations of ideal free–surface fluid mechanics are a fundamental model of open ocean movements with a surprisingly subtle well–posedness theory.
David Ambrose (7936688) +2 more
core +6 more sources
Well-posedness of the one-dimensional derivative nonlinear Schrödinger equation [PDF]
, 2018 This thesis is concerned with the well-posedness of the one-dimensional derivative non-linear Schrodinger equation (DNLS). In particular, we study the initial-value problem associated to DNLS with low-regularity initial data in two settings: (i) on the
Moşincat, Răzvan Octavian
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WELL-POSEDNESS OF THE CAUCHY PROBLEM FOR p-EVOLUTION SYSTEMS OF PSEUDO-DIFFERENTIAL OPERATORS [PDF]
, 2013 We study p-evolution pseudo-differential systems of the first order with coefficients in (t,x) and real characteristics. We find sufficient conditions for the well-posedness of the Cauchy problem in H∞.
Ascanelli, Alessia, Boiti, Chiara
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Low regularity well-posedness of the modified and the generalized Korteweg-de Vries equations [PDF]
, 2021 In this thesis, we study the well-posedness of the modified and generalized Korteweg-de Vries equations on the one-dimensional torus. We first consider the complex-valued modified Korteweg-de Vries equation (mKdV).
Chapouto, Andreia
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Well-posedness of Hibler's dynamical sea-ice model [PDF]
, 2021 This paper establishes the local-in-time well-posedness of solutions to an approximating system constructed by mildly regularizing the dynamical sea-ice model of W.D. Hibler, Journal of Physical Oceanog- raphy, 1979. Our choice of regularization has been
Titi, Edriss +4 more
core +2 more sources
On the well-posedness of weakly hyperbolic equations with time-dependent coefficients [PDF]
, 2012 30.10.12 KB.
Garetto, Claudia +7 more
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