{"product_id":"the-action-principle-and-partial-demetrios-christodoulou-9780691049571","title":"The Action Principle and Partial Differential Equations. (Am-146), Volume 146","description":"\u003cp\u003eThis book introduces new methods in the theory of partial differential equations derivable from a Lagrangian. These methods constitute, in part, an extension to partial differential equations of the methods of symplectic geometry and Hamilton-Jacobi theory for Lagrangian systems of ordinary differential equations. A distinguishing characteristic of this approach is that one considers, at once, entire families of solutions of the Euler-Lagrange equations, rather than restricting attention to single solutions at a time. The second part of the book develops a general theory of integral identities, the theory of \"compatible currents,\" which extends the work of E. Noether. Finally, the third part introduces a new general definition of hyperbolicity, based on a quadratic form associated with the Lagrangian, which overcomes the obstacles arising from singularities of the characteristic variety that were encountered in previous approaches. On the basis of the new definition, the domain-of-dependence theorem and stability properties of solutions are derived. Applications to continuum mechanics are discussed throughout the book. The last chapter is devoted to the electrodynamics of nonlinear continuous media.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Demetrios Christodoulou\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0691049572\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780691049571\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Princeton University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 01\/17\/2000\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 328\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.05lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.20h x 6.09w x 0.81d","brand":"Demetrios Christodoulou","offers":[{"title":"Paperback","offer_id":44756462469375,"sku":"9780691049571","price":105.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_a35dd841-c9b3-446e-8478-a7276aece977.jpg?v=1706593052","url":"https:\/\/www.whiterainbookhouse.com\/products\/the-action-principle-and-partial-demetrios-christodoulou-9780691049571","provider":"WR Book House","version":"1.0","type":"link"}