Results 21 to 30 of about 381 (39)
Existence of solitons in the nonlinear beam equation
This paper concerns with the existence of solitons, namely stable solitary waves in the nonlinear beam equation (NBE) with a suitable nonlinearity. An equation of this type has been introduced by P.J. McKenna and W.
Benci, Vieri, Fortunato, Donato
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On Stability of Hyperbolic Thermoelastic Reissner-Mindlin-Timoshenko Plates
In the present article, we consider a thermoelastic plate of Reissner-Mindlin-Timoshenko type with the hyperbolic heat conduction arising from Cattaneo's law. In the absense of any additional mechanical dissipations, the system is often not even strongly
Pokojovy, Michael
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Sharp interface limit for a phase field model in structural optimization
We formulate a general shape and topology optimization problem in structural optimization by using a phase field approach. This problem is considered in view of well-posedness and we derive optimality conditions.
Christoph Rupprecht +7 more
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Local Well-Posedness for Relaxational Fluid Vesicle Dynamics
We prove the local well-posedness of a basic model for relaxational fluid vesicle dynamics by a contraction mapping argument.
Köhne, Matthias, Lengeler, Daniel
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Periodic solutions and torsional instability in a nonlinear nonlocal plate equation
A thin and narrow rectangular plate having the two short edges hinged and the two long edges free is considered. A nonlinear nonlocal evolution equation describing the deformation of the plate is introduced: well-posedness and existence of periodic ...
Bonheure, Denis +2 more
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The theory of elastic magnets is formulated under possible diffusion and heat flow governed by Fick's and Fourier's laws in the deformed (Eulerian) configuration, respectively.
Roubicek, Tomas, Tomassetti, Giuseppe
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We demonstrate the global existence of weak solutions to a class of semilinear strongly damped wave equations possessing nonlinear hyperbolic dynamic boundary conditions.
Shomberg, Joseph L.
core
Effective data sampling strategies and boundary condition constraints of physics-informed neural networks for identifying material properties in solid mechanics. [PDF]
Wu W +4 more
europepmc +1 more source
On an Implicit Model Linear in Both Stress and Strain to Describe the Response of Porous Solids. [PDF]
Itou H, Kovtunenko VA, Rajagopal KR.
europepmc +1 more source
A Bayesian finite-element trained machine learning approach for predicting post-burn contraction. [PDF]
Egberts G +3 more
europepmc +1 more source

