Results 61 to 70 of about 122,957 (282)

Convergence analysis of finite element approximations for a nonlinear second order hyperbolic optimal control problems

Networks Heterog. Media
This paper focused on approximating a second-order nonlinear hyperbolic optimal control problem. By introducing a new variable, the hyperbolic equation was converted into two parabolic equations.
Huanhuan Li, Meiling Ding, Xianbing Luo, Shuwen Xiang   +3 more
semanticscholar   +1 more source

Multidimensional Conservation Laws: Overview, Problems, and Perspective

, 2010
Some of recent important developments are overviewed, several longstanding open problems are discussed, and a perspective is presented for the mathematical theory of multidimensional conservation laws.
A. Blokhin, A. Bressan, A. Bressan, A. Kurganov, A. Majda, A. Majda, A. Majda, A. Tesdall, A. Vasseur, A. Volpert, A.J. Chorin, A.M. Tesdall, A.R. Zakharian, B. Dacorogna, B. Engquist, B. Fang, B. Perthame, B. Perthame, B. Skews, C. Baiocchi, C. Leliss De, C. Lellis De, C.-H. Gu, C.B. Morrey, C.M. Dafermos, C.M. Dafermos, C.M. Dafermos, C.S. Morawetz, C.S. Morawetz, C.S. Morawetz, C.S. Morawetz, C.W. Schulz-Rinne, D. Christodoulou, D. Christodoulou, D. Cui, D. Hoff, D. Schaeffer, D. Serre, D. Serre, D. Serre, D. Serre, D. Tan, D.G. Schaeffer, E. Giusti, E. Grenier, E. Mach, E. Tabak, E. Tadmor, E. Yu. Panov, F. Bouchut, F. Brezzi, F. Huang, F. Murat, F. Murat, G. Anzellotti, G. Ben-Dor, G. Boillat, G. Boillat, G. Dong, G. Métivier, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.B. Whitham, G.I. Zabolotskaya, H. Berestycki, H. Federer, H. Holden, H.K. Jenssen, H.W. Alt, H.W. Alt, I.M. Gamba, J. Glimm, J. Glimm, J. Glimm, J. Glimm, J. Hadamard, J. Hunter, J. Hunter, J. Li, J. Li, J. Li, J. Neumann von, J. Rauch, J.-Y. Chemin, J.B. Keller, J.B. Keller, J.D. Cole, J.F. Coulombel, J.M. Ball, J.M. Ball, K. Friedrichs, K.G. Guderley, K.O. Friedrichs, L. Ambrosio, L. Ambrosio, L. Bers, L. Bers, L. Guo, L. Liu, L. Tartar, L. Tartar, L.A. Caffarelli, L.C. Evans, M. Artola, M. Dyke Van, M. Shiffman, M.-J. Bae, M.J. Lighthill, M.S. Cramer, O. Guès, P. Brenner, P. Constantin, P.-L. Lions, P.-L. Lions, P.-L. Lions, P.D. Lax, P.D. Lax, P.D. Lax, P.D. Lax, P.D. Lax, P.G. LeFloch, Q. Han, R. Courant, R. Courant, R. Finn, R. Timman, R.J. DiPerna, R.J. DiPerna, R.J. DiPerna, S. Alinhac, S. Benzoni-Gavage, S. Bianchini, S. Canić, S. Canić, S. Canić, S. Demoulini, S. Friedland, S. Godunov, S. Osher, S.-T. Yau, S.-X. Chen, S.-X. Chen, S.-X. Chen, S.-X. Chen, S.-X. Chen, S.-X. Chen, S.-X. Chen, T. Chang, T. Chang, T. Chang, T. Kato, T. Makino, T. Qin, T. Ruggeri, T. Zhang, T.-P. Liu, T.-T. Li, T.-T. Li, T.C. Sideris, V. Elling, V. Elling, V.G. Maz’ya, W. Bleakney, W. E. Y. Rykov, W. Gangbo, W.-C. Lien, W.-C. Sheng, W.P. Ziemer, Y. Brenier, Y. Brenier, Y. Trakhinin, Y. Zheng, Y. Zheng, Y. Zheng, Y.-Q. Zhang, Ya.B. Zeldovich, Z. Wang, Z. Xin   +205 more
core   +2 more sources

Echinoderm‐Inspired Autonomy for Soft‐Legged Robots

Advanced Robotics Research, EarlyView.
Inspired by echinoderms, a modular soft robot achieves autonomous phototaxis without a central controller or explicit communication. Each limb independently adapts its actuation timing through local sensing and short‐term memory. Coordination emerges purely from physical interactions, demonstrating resilience to changes in morphology, environment, and ...
Harmannus A. H. Schomaker, Jelle de Vries, Johannes T. B. overvelde   +2 more
wiley   +1 more source

A parabolic-hyperbolic free boundary problem modeling tumor growth with drug application

Electronic Journal of Differential Equations, 2010
In this article, we study a free boundary problem modeling the growth of tumors with drug application. The model consists of two nonlinear second-order parabolic equations describing the diffusion of nutrient and drug concentration, and three ...
Ji-Hong Zhao
doaj  

Tumbling Magnetic Microrobots for Targeted In Vivo Drug Delivery in the GI Tract

Advanced Robotics Research, EarlyView.
We introduce a microrobot design and integrated system for on‐demand targeted drug release in the gastrointestinal tract. The microrobot has an embedded magnet for actuation with external magnetic fields and is visualized in real time using ultrasound. It has two drug release ports sealed with a thermally sensitive wax. Local heating of the wax using a
Aaron C. Davis, Luis Carlos Sanjuan Acosta, Shubh P. Mehta, Baiyan Qi, Yang Yang, Luis Solorio, Craig J. Goergen, David J. Cappelleri   +7 more
wiley   +1 more source

Relativistic Burgers equations on curved spacetimes. Derivation and finite volume approximation

, 2012
Within the class of nonlinear hyperbolic balance laws posed on a curved spacetime (endowed with a volume form), we identify a hyperbolic balance law that enjoys the same Lorentz invariance property as the one satisfied by the Euler equations of ...
LeFloch, Philippe G., Makhlof, Hasan, Okutmustur, Baver   +2 more
core   +1 more source

Existence of bounded solutions for nonlinear hyperbolic partial differential equations

Electronic Journal of Differential Equations, 2015
In this article we first establish a new representation formula for bounded solutions to a class of nonlinear second-order hyperbolic partial differential equations.
Toka Diagana, Mamadou Moustapha Mbaye
doaj  

Nonlinear monotonization of the Babenko scheme for the quasi‐linear advection equation

Mathematical Modelling and Analysis, 2005
The paper is devoted to construction and development of new method for numerical solution of hyperbolic type equations [14, 17]. In the previous papers [4, 5, 6, 7, 8, 9] authors have investigated theoretically and tested experimentally 26 different ...
T. A. Alexandrikova, M. P. Galanin
doaj   +1 more source

Potential for ill-posedness in several 2nd-order formulations of the Einstein equations

, 2004
Second-order formulations of the 3+1 Einstein equations obtained by eliminating the extrinsic curvature in terms of the time derivative of the metric are examined with the aim of establishing whether they are well posed, in cases of somewhat wide ...
A. Anderson, C. Bona, G. Calabrese, G. Nagy, H. Friedrich, L.E. Kidder, Simonetta Frittelli, T.W. Baumgarte, Y. Choquet-Bruhat   +8 more
core   +1 more source

Compliant Pneumatic Feet with Real‐Time Stiffness Adaptation for Humanoid Locomotion

Advanced Robotics Research, EarlyView.
A compliant pneumatic foot with real‐time variable stiffness enables humanoid robots to adapt to changing terrains. Using onboard vision and pressure control, the foot modulates stiffness within each gait cycle, reducing impact forces and improving balance. The design, cast in soft silicone with embedded air chambers and Kevlar wrapping, offers durable,
Irene Frizza, Hiroshi Kaminaga, Philippe Fraisse, Gentiane Venture   +3 more
wiley   +1 more source