A variational approach to hyperbolic evolutions and fluid-structure interactions (Q6620343)

scientific article; zbMATH DE number 7927741

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English	A variational approach to hyperbolic evolutions and fluid-structure interactions	scientific article; zbMATH DE number 7927741

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instance of

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title

A variational approach to hyperbolic evolutions and fluid-structure interactions (English)

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Journal of the European Mathematical Society (JEMS)

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publication date

16 October 2024

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zbMATH Keywords

fluid-structure interaction

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Navier-Stokes equation

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elastodynamics

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calculus of variations

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minimizing movements

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Young measure solutions for the wave equation with $p(x, t)$-Laplacian: existence and blow-up

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Physically unacceptable viscous stresses

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The strong stability and instability of a fluid-structure semigroup

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Q3543479

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Uniform stabilization of a coupled PDE system arising in fluid-structure interaction with boundary dissipation at the interface

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Convexity conditions and existence theorems in nonlinear elasticity

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Some Open Problems in Elasticity

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Existence of the energy-level weak solutions for a nonlinear fluid-structure interaction model

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Smoothness of weak solutions to a nonlinear fluid-structure interaction model

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Minimizing drag in a moving boundary fluid-elasticity interaction

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Well-Posedness Analysis for a Linearization of a Fluid-Elasticity Interaction

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Existence for the linearization of a steady state fluid/nonlinear elasticity interaction

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On the equations rot\ v$=g$ and div\ u$=f$ with zero boundary conditions

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On the vanishing rigid body problem in a viscous compressible fluid

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Compressible fluids interacting with a linear-elastic shell

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A variational time discretization for compressible Euler equations

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The motion of the rigid body in the viscous fluid including collisions. Global solvability result

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Weak-strong uniqueness for fluid-rigid body interaction problem with slip boundary condition

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A global attractor for a fluid-plate interaction model accounting only for longitudinal deformations of the plate

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Interaction of an elastic plate with a linearized inviscid incompressible fluid

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Evolution semigroups in supersonic flow-plate interactions

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Unsteady interaction of a viscous fluid with an elastic shell modeled by full von Kármán equations

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Injectivity and self-contact in nonlinear elasticity

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Motion of an elastic solid inside an incompressible viscous fluid

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The interaction between quasilinear elastodynamics and the Navier-Stokes equations

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Direct methods in the calculus of variations

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Q4277817

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Weak solutions for a class of nonlinear systems of viscoelasticity

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A variational approximation scheme for three-dimensional elastodynamics with polyconvex energy

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Existence of weak solutions for the motion of rigid bodies in a viscous fluid

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Weak solutions for a fluid-elastic structure interaction model

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Q4953860

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On the motion of rigid bodies in a viscous compressible fluid

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On the motion of several rigid bodies in an incompressible non-Newtonian fluid

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Tractions, balances, and boundary conditions for nonsimple materials with application to liquid flow at small-length scales

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A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence

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On time-periodic flow of a viscous liquid past a moving cylinder

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On bifurcating time-periodic flow of a Navier-Stokes liquid past a cylinder

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Steady flow of a Navier-Stokes liquid past an elastic body

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The steady motion of a Navier-Stokes liquid around a rigid body

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On the motion of a rigid body in a Navier-Stokes liquid under the action of a time-periodic force

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$L^{p}$-theory for strong solutions to fluid-rigid body interaction in Newtonian and generalized Newtonian fluids

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A variational approach to the Navier-Stokes equations

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Existence for a three-dimensional steady-state fluid-structure interaction problem

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Existence of global strong solutions to a beam-fluid interaction system

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Q4066699

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Injective weak solutions in second-gradient nonlinear elasticity

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Lack of Collision Between Solid Bodies in a 2D Incompressible Viscous Flow

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On well-posedness for a free boundary fluid-structure model

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Small data global existence for a fluid-structure model

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Mathematical theory of evolutionary fluid-flow structure interactions

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Unrestricted deformations of thin elastic structures interacting with fluids

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Mathematical Methods in Continuum Mechanics of Solids

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Solutions to a free boundary problem of fluid-structure interaction

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Strong solutions for a fluid structure interaction system

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Interface feedback control stabilization of a nonlinear fluid-structure interaction

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The quasiconvex envelope of the Saint Venant–Kirchhoff stored energy function

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Weak solutions for an incompressible, generalized Newtonian fluid interacting with a linearly elastic Koiter type shell

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Weak solutions for an incompressible Newtonian fluid interacting with a Koiter type shell

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Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange

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Thermoviscoelasticity in Kelvin-Voigt rheology at large strains

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Micro-structure in linear elasticity

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A variational approximation scheme for radial polyconvex elasticity that preserves the positivity of Jacobians

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Existence of a weak solution to a nonlinear fluid-structure interaction problem modeling the flow of an incompressible, viscous fluid in a cylinder with deformable walls

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A nonlinear, 3D fluid-structure interaction problem driven by the time-dependent dynamic pressure data: a constructive existence proof

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Fluid-structure interaction between an incompressible, viscous 3D fluid and an elastic shell with nonlinear Koiter membrane energy

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Existence of a weak solution to a fluid-elastic structure interaction problem with the Navier slip boundary condition

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Existence and regularity of weak solutions for a fluid interacting with a non-linear shell in three dimensions

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Asymptotic properties of the steady fall of a body in viscous fluids

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Weak solutions for the motion of a self-propelled deformable structure in a viscous incompressible fluid

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On Korn's first inequality with non-constant coefficients

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Q4705103

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On the transport-diffusion algorithm and its applications to the Navier-Stokes equations

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Q5488091

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Phase transitions in non-simple bodies

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Compact sets in the space $L^ p(0,T;B)$

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Analysis of strong solutions for the equations modeling the motion of a rigid-fluid system in a bounded domain

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Stabilization of a fluid-rigid body system

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Elastic materials with couple-stresses

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Function spaces in Lipschitz domains and on Lipschitz manifolds. Characteristic functions as pointwise multipliers.

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Weakly Differentiable Functions

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Identifiers

Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6620343