Well-posedness and controllability of a nonlinear system for surface waves
Copyright policy )Well-posedness and controllability of a nonlinear system for surface waves
In this paper we study the well-posedness for the periodic Cauchy problem and the internal controllability of a one-dimensional system that describes the propagation of long water waves with small amplitude in the presence of surface tension. The well-posedness is proved by using the Fourier transform restriction method and the controllability is proved by using the moment method.
Controllability, Artificial intelligence, Wave Equations, bourgain spaces, Geometry, Control (management), nonlinear system, Bourgain spaces, PDEs in connection with fluid mechanics, Periodic Wave Solutions, Quantum mechanics, Environmental science, internal control, Engineering, well-posedness, QA1-939, FOS: Mathematics, Control theory (sociology), Nonlinear systems in control theory, Nonlinear Schrödinger Equation, Global Well-Posedness of Nonlinear Wave Equations, Nonlinear Equations, Mathematical Physics, QA Mathematics / matematika, Control/observation systems governed by partial differential equations, Physics, water waves, Statistical and Nonlinear Physics, Applied mathematics, Computer science, spectral analysis, Physics and Astronomy, Control and Systems Engineering, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Nonlinear system, Surface (topology), Mathematics, Rogue Waves in Nonlinear Systems
Controllability, Artificial intelligence, Wave Equations, bourgain spaces, Geometry, Control (management), nonlinear system, Bourgain spaces, PDEs in connection with fluid mechanics, Periodic Wave Solutions, Quantum mechanics, Environmental science, internal control, Engineering, well-posedness, QA1-939, FOS: Mathematics, Control theory (sociology), Nonlinear systems in control theory, Nonlinear Schrödinger Equation, Global Well-Posedness of Nonlinear Wave Equations, Nonlinear Equations, Mathematical Physics, QA Mathematics / matematika, Control/observation systems governed by partial differential equations, Physics, water waves, Statistical and Nonlinear Physics, Applied mathematics, Computer science, spectral analysis, Physics and Astronomy, Control and Systems Engineering, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Nonlinear system, Surface (topology), Mathematics, Rogue Waves in Nonlinear Systems
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