000 01674nam a2200241 4500
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020 _a9780443187056
040 _aCSL
_cCSL
041 _2eng
_aeng
084 _aB334 R4
_qCSL
100 _aYin, Hong-Ming
_eAuthor.
_9814669
245 _aPartial differential equations and applications
_b: A bridge for students and researchers in applied sciences
260 _aLondon :
_bAcademic Press,
_c2024.
300 _axiii, 315p.
_b: ill.
_c; 23 cm.
500 _aIncludes References and Index
520 _aPartial Differential Equations and Applications: A Bridge for Students and Researchers in Applied Sciences offers a unique approach to this key subject by connecting mathematical principles to the latest research advances in select topics. Beginning with very elementary PDEs, such as classical heat equations, wave equations and Laplace equations, the book focuses on concrete examples. It gives students basic skills and techniques to find explicit solutions for partial differential equations. As it progresses, the book covers more advanced topics such as the maximum principle and applications, Green’s representation, Schauder’s theory, finite-time blowup, and shock waves. By exploring these topics, students gain the necessary tools to deal with research topics in their own fields, whether proceeding in math or engineering areas.
650 _aPartial differential equations
_9426149
650 _aSobolev Spaces
_9814670
650 _aThe Wave Equation
_9814671
650 _aThe Heat Equation
_9814672
942 _2CC
_n0
_cTEXL
_hB334 R4
999 _c1432975
_d1432975