Results 181 to 190 of about 14,444,000 (235)

Monotone Peridynamic Neural Operator for Nonlinear Material Modeling with Conditionally Unique Solutions. [PDF]

Comput Methods Appl Mech Eng
Wang J, Tian X, Zhang Z, Silling S, Jafarzadeh S, Yu Y.   +5 more
europepmc   +1 more source

On the Past Maximal Development of Near-FLRW Data for the Einstein Scalar-Field Vlasov System. [PDF]

Commun Math Phys
Fajman D, Urban L.
europepmc   +1 more source

Dynamic properties of Kermack-McKendrick-like models. [PDF]

PLoS One
Diallo HA, Ezzinbi K, Outada N, Sallet G.   +3 more
europepmc   +1 more source

The sine-Gordon equation in light-cone coordinates on the half-lines revisited: a Riemann-Hilbert approach. [PDF]

Lett Math Phys
Karpenko I.
europepmc   +1 more source

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On the well-posedness of the Eckhaus equation

Physics Letters A, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. J. ABLOWITZ, G. BIONDINI, DE LILLO, Silvana   +2 more
openaire   +2 more sources

Weak formulation and well-posedness

2021
This chapter focuses on the weak formulation of the time-dependent Stokes equations. We consider two possible weak formulations. The first one enforces the divergence-free constraint on the velocity field without introducing the pressure. This formulation can be handled by using the same analysis tools as for parabolic problems.
Alexandre Ern, Jean-Luc Guermond
openaire   +1 more source

Well-posedness and weak well-posedness in Banach spaces

1997
Let (X, ‖ · ‖) be a Banach space. Let Φ be the class of all continuous linear (affine) functionals. A function f is Φ-convex if and only if it is convex and lower semi-continuous.
Diethard Pallaschke, Stefan Rolewicz
openaire   +1 more source

On the well-posedness of numerical DAE

2009 European Control Conference (ECC), 2009
Solving unstructured linear differential-algebraic equations in the presence of numeric uncertainty in the equation coefficients is an ill-posed problem — arbitrarily small changes in the coefficients of the leading matrix may change the solution completely. To obtain well-posedness, assumptions must be made, even for DAE of index 0.
Henrik Tidefelt, S. Torkel Glad
openaire   +2 more sources

Well Posedness and Inf-Convolution

Journal of Optimization Theory and Applications, 2018
We prove that the notion of Tykhonov well-posed problems is stable under the operation of inf-convolution. We deal with lower semicontinuous functions (not necessarily convex) defined on a metric magma. Several applications are given, in particular to the study of the map argmin.
openaire   +4 more sources

Well Posedness for Pressureless Flow

Communications in Mathematical Physics, 2001
This paper considers the one-dimensional pressureless gases and studies the uniqueness of weak solutions when the initial data is a Radon measure. It is shown that besides the Oleinik entropy condition, it is important to require the energy to be weakly continuous initially; and without this energy condition, the weak solution satisfying the Oleinik ...
Huang, Feimin, Wang, Zhen
openaire   +2 more sources